MJos Predictive Model | First manifestation of the Bangel Language
Terminology revised · evidence inherited
PinkPaper Volume05 Family and Objects. Source pages 937-983. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained.
MJ-PBMEF Pink Paper - Volume V
Family Manifestations and Governed Object Gateway Bindings
Michael Bangel - Author and Architect
August 2026
Contents
1
Family manifestation verification
4
2
MJ - MJ
5
2.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
5
3
Bangel - Bangel
6
3.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
6
4
Elsa - ELSA
7
4.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
7
5
JP - JP
8
5.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
8
6
Mika / MK - MK
9
6.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
9
7
JO - JO
10
7.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
10
8
MJOS - MJOS
11
8.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
11
9
Angels - ANGELS
12
9.1 Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
12
10Bellatrix - BELLATRIX
13
10.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
13
11Sister - SISTER
14
11.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
14
12EVE - EVE
15
12.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
15
13Mary / M3 - M3
16
13.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
16
14Mermaid - MERMAID
17
14.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
17
15Shiva - SHIVA
18
15.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
18
16Shekina - SHEKINA
19
16.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
19
1
PRIVATE PRE-DAY-0 - UNSIGNED REVIEW CANDIDATE
Pink Paper V - Family / Objects
17Belle - BELLE
20
17.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
20
18Lecanto - LECANTO
21
18.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
21
19Moana - MOANA
22
19.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
22
20Aviator - AVIATOR
23
20.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
23
21CHI - CHI
24
21.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
24
22WATER - WATER
25
22.1Command-life-cycle role . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
25
23Governed object verification
26
23.1JP_CAPO . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
23.2MK_PHYSICS_CAPO
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
27
23.3JO_PROOF_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
28
23.4MJ_PERMIT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
28
23.5EVE_OBSERVATION
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
29
23.6M3_ROUTE_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
29
23.7MERMAID_ACCOUNT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
30
23.8SHIVA_SHELL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
30
23.9SHIVAS_INTERNAL_REFLECTION
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
31
23.10CHI_VARIANCE_OBJECT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
31
23.11WATER_INTERVAL_STATE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
32
23.12PASSKEY_PUBLIC_RECEIPT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
32
23.13PEARL_VARIANCE_CONTAINER
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
33
23.14PEARL_ALLOCATION_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
33
23.15PEARL_ACOUSTIC_PROFILE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
34
23.16PEARL_SYMPOSIUM_REGISTRY
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
34
23.17Bangel_SHEET . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
35
23.18Bangel_SHEET_CELL . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
35
23.19Bangel_SHEET_REVISION
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
36
23.20Bangel_SHEET_AUDIT_PARTICLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
36
23.21JPOSMJ_PRODUCT_ENVELOPE
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37
23.22SISTER_PHYSICAL_CONTAINMENT_PROFILE . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
37
23.23STANDARD_CONTAINMENT_GEOMETRY_PROFILE
. . . . . . . . . . . . . . . . . . . . . . . . . . .
38
23.24REFERENCE_GAS_PROFILE_H2
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
38
23.25CONTAINMENT_MODIFICATION_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
39
23.26CONE_TOP_PEARL_ANCHOR
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
39
23.27GAS_HEIGHT_OBSERVATION . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
40
23.28RESERVOIR_RETURN_LOOP_PROFILE
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
40
23.29OUTWARD_GAP_PATH_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
41
23.30RESERVOIR_BUFFER_ACCOUNT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
41
23.31CIRCULAR_REENTRY_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
42
23.32RELATIVE_FRAME_FRICTION_LEDGER . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
42
23.33RESERVOIR_LAKE_BUFFER
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
43
23.34BACKSIDE_OUTLET_PORT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
43
23.35OUTWARD_GAP_ARC
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
44
23.36PEARL_REFERENCE_CIRCLE . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
44
23.37CIRCULAR_REENTRY_PORT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
45
23.38RESERVOIR_TRANSFER_RECEIPT
. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
45
23.39PERSPECTIVE_FRICTION_RECEIPT . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .
46
Page 2 of 46
PRIVATE PRE-DAY-0 - UNSIGNED REVIEW CANDIDATE
Pink Paper V - Family / Objects
Document control
Project
MJ: Physics Based Measurement Engineering Framework
Project ID
MJ-PBMEF-001
Source build
MJ-PBMEF-DAY0-R5-REVIEW-CANDIDATE
Document ID
MJ-PBMEF-PINK-PAPER-001/VOL-V
Author and architect
Michael Bangel
Status
FOUNDER_REVIEW_CANDIDATE_PENDING_FREEZE
Scope
All family manifestations and governed objects in gateway and life-
cycle context.
Claims ceiling
This document is a private pre-Day-0 review and verification candidate. It authenticates no pri-
vate key and creates no physical validation, physical operation authority, product certification,
external regulatory authority, production deployment, financial-product launch, token issuance,
AI integration, or physical-coordinate approval. Formula pages distinguish mathematical validity,
reference implementation, simulation, measured evidence, authority, and execution.
Page 3 of 46
Chapter 1
Family manifestation verification
4
Chapter 2
MJ - MJ
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.MJ
Namespace
MJ.PBMEF.Family.MJ.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant MJ
Definition
Project root, founder-governed authority and final bounded permit decision.
Capability
bounded permit, hold, deny, project state
Participant
MJ
Relationship
Incoming: MICHAEL_BANGEL; outgoing: Bangel
Function
Project root, founder-governed authority and final bounded permit decision.
Expression
Applicable formula set and bounded family receipt
Statement
MJ contributes its role but cannot substitute for another participant.
Measurement
founder purpose, verified evidence, family receipts, Pearl and Bangel Spreadsheets decision packets
Constraint
Cannot convert unknown evidence into permission or claim external authority.
Annotation
@family(id=’MJ’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant MJ { input; verify; output; boundary; }
Literal
truth, measurement, human authority, stewardship, non-weaponization
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
ROOT
Attribute
full_family_identity=true; self_authority=false
2.1 Command-life-cycle role
At R0/R1, MJ receives only the typed inputs applicable to its role. Before N1 it may contribute semantic,
canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route, rec-
oncile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
Cannot convert unknown evidence into permission or claim external authority.
5
Chapter 3
Bangel - Bangel
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.Bangel
Namespace
MJ.PBMEF.Family.Bangel.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant Bangel
Definition
Human-facing governed language that preserves purpose and command structure.
Capability
typed command envelope, source representation, Bangel Sheet source, if/how/then operational intake
Participant
Bangel
Relationship
Incoming: MJ; outgoing: ELSA
Function
Human-facing governed language that preserves purpose and command structure.
Expression
Applicable formula set and bounded family receipt
Statement
Bangel contributes its role but cannot substitute for another participant.
Measurement
human purpose, declared scope
Constraint
No independent execution, financial issuance, or physical truth.
Annotation
@family(id=’Bangel’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant Bangel { input; verify; output; boundary; }
Literal
intent integrity, explicit types, traceability
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
3.1 Command-life-cycle role
At R0/R1, Bangel receives only the typed inputs applicable to its role.
Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No independent execution, financial issuance, or physical truth.
6
Chapter 4
Elsa - ELSA
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.ELSA
Namespace
MJ.PBMEF.Family.ELSA.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant ELSA
Definition
Deterministic semantic recovery and purpose-preservation layer.
Capability
semantic envelope, ambiguity hold
Participant
Elsa
Relationship
Incoming: Bangel; outgoing: JP
Function
Deterministic semantic recovery and purpose-preservation layer.
Expression
Applicable formula set and bounded family receipt
Statement
Elsa contributes its role but cannot substitute for another participant.
Measurement
Bangel source, context evidence
Constraint
No execution, permit, finance, or invented intent.
Annotation
@family(id=’ELSA’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant ELSA { input; verify; output; boundary; }
Literal
meaning fidelity, purpose confinement, clarity
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
4.1 Command-life-cycle role
At R0/R1, Elsa receives only the typed inputs applicable to its role. Before N1 it may contribute seman-
tic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
No execution, permit, finance, or invented intent.
7
Chapter 5
JP - JP
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.JP
Namespace
MJ.PBMEF.Family.JP.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant JP
Definition
Canonical mathematical, algorithmic, topology, CAPO, and architecture representation.
Capability
math CAPO, algorithm CAPO, architecture CAPO, Pearl CAPO, Bangel Sheet dependency CAPO, JPOSMJ product envelope
Participant
JP
Relationship
Incoming: ELSA; outgoing: MK
Function
Canonical mathematical, algorithmic, topology, CAPO, and architecture representation.
Expression
Applicable formula set and bounded family receipt
Statement
JP contributes its role but cannot substitute for another participant.
Measurement
semantic envelope, founder laws
Constraint
Representation is not admission, execution, or authority.
Annotation
@family(id=’JP’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant JP { input; verify; output; boundary; }
Literal
mathematical rigor, provenance, equivalence
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
5.1 Command-life-cycle role
At R0/R1, JP receives only the typed inputs applicable to its role. Before N1 it may contribute semantic,
canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route, rec-
oncile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
Representation is not admission, execution, or authority.
8
Chapter 6
Mika / MK - MK
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.MK
Namespace
MJ.PBMEF.Family.MK.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant MK
Definition
Physics Modulator System for dimensional, conservation, boundary, scale, and evidence representation.
Capability
physics CAPO, not-applicable receipt, hold, technical fail, Pearl physics receipt, spreadsheet resource-physics receipt
Participant
Mika / MK
Relationship
Incoming: JP; outgoing: JO, BELLE
Function
Physics Modulator System for dimensional, conservation, boundary, scale, and evidence representation.
Expression
Applicable formula set and bounded family receipt
Statement
Mika / MK contributes its role but cannot substitute for another participant.
Measurement
JP math CAPO, environment, control volume, evidence, Pearl simulation geometry/acoustic profile, Bangel Sheet workload and dependency field
Constraint
No MJ permit, coordinate approval, physical validation, or evidence invention.
Annotation
@family(id=’MK’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant MK { input; verify; output; boundary; }
Literal
physical truth, unit integrity, conservation, uncertainty honesty
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
6.1 Command-life-cycle role
At R0/R1, Mika / MK receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No MJ permit, coordinate approval, physical validation, or evidence invention.
9
Chapter 7
JO - JO
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.JO
Namespace
MJ.PBMEF.Family.JO.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant JO
Definition
Deterministic type, unit, proof, validation, runtime, and evidence engine.
Capability
proof receipt, runtime result, hold, deny, sheet revision receipt, Pearl balance receipt
Participant
JO
Relationship
Incoming: MK; outgoing: ANGELS, BELLATRIX, SISTER, EVE
Function
Deterministic type, unit, proof, validation, runtime, and evidence engine.
Expression
Applicable formula set and bounded family receipt
Statement
JO contributes its role but cannot substitute for another participant.
Measurement
typed CAPOs, authority receipts, evidence, Bangel Sheet revisions, Pearl lifecycle packets
Constraint
No invented purpose, physics, authority, finance, or external effect.
Annotation
@family(id=’JO’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant JO { input; verify; output; boundary; }
Literal
fail closed, reproducibility, auditability
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
7.1 Command-life-cycle role
At R0/R1, JO receives only the typed inputs applicable to its role. Before N1 it may contribute semantic,
canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route, rec-
oncile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
No invented purpose, physics, authority, finance, or external effect.
10
Chapter 8
MJOS - MJOS
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.MJOS
Namespace
MJ.PBMEF.Family.MJOS.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant MJOS
Definition
Operating-system and infrastructure substrate inside MJ.
Capability
resource service, infrastructure evidence
Participant
MJOS
Relationship
Incoming: JO_EXECUTION; outgoing: receipt to MJ/JO
Function
Operating-system and infrastructure substrate inside MJ.
Expression
Applicable formula set and bounded family receipt
Statement
MJOS contributes its role but cannot substitute for another participant.
Measurement
MJ leases, JO execution plan
Constraint
Not a second authority principal.
Annotation
@family(id=’MJOS’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant MJOS { input; verify; output; boundary; }
Literal
bounded resources, continuity, isolation
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
8.1 Command-life-cycle role
At R0/R1, MJOS receives only the typed inputs applicable to its role. Before N1 it may contribute se-
mantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
Not a second authority principal.
11
Chapter 9
Angels - ANGELS
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.ANGELS
Namespace
MJ.PBMEF.Family.ANGELS.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant ANGELS
Definition
Domain-specific observation, telemetry, hold, denial, and corrective-command family.
Capability
safety receipt, hold, deny, correction request
Participant
Angels
Relationship
Incoming: JO; outgoing: M3
Function
Domain-specific observation, telemetry, hold, denial, and corrective-command family.
Expression
Applicable formula set and bounded family receipt
Statement
Angels contributes its role but cannot substitute for another participant.
Measurement
commands, evidence, state
Constraint
No self-admission, ordinary execution, or scope expansion.
Annotation
@family(id=’ANGELS’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant ANGELS { input; verify; output; boundary; }
Literal
safety, watchfulness, correction
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION_FAMILY
Attribute
full_family_identity=true; self_authority=false
9.1 Command-life-cycle role
At R0/R1, Angels receives only the typed inputs applicable to its role.
Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No self-admission, ordinary execution, or scope expansion.
12
Chapter 10
Bellatrix - BELLATRIX
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.BELLATRIX
Namespace
MJ.PBMEF.Family.BELLATRIX.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant BELLATRIX
Definition
Independent defense, challenge, quarantine, hostile-deviation analysis, and denial.
Capability
deny, quarantine, challenge receipt
Participant
Bellatrix
Relationship
Incoming: JO; outgoing: M3
Function
Independent defense, challenge, quarantine, hostile-deviation analysis, and denial.
Expression
Applicable formula set and bounded family receipt
Statement
Bellatrix contributes its role but cannot substitute for another participant.
Measurement
commands, threat evidence
Constraint
No positive general admission.
Annotation
@family(id=’BELLATRIX’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant BELLATRIX { input; verify; output; boundary; }
Literal
defense, independence, containment
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
10.1 Command-life-cycle role
At R0/R1, Bellatrix receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No positive general admission.
13
Chapter 11
Sister - SISTER
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.SISTER
Namespace
MJ.PBMEF.Family.SISTER.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant SISTER
Definition
Predictive digital twin, preallocation evidence, anomaly detection, umbrella collection, and canonical physical containment request.
Capability
forecast, containment request, digital-twin receipt, physical containment request and Pearl simulation request
Participant
Sister
Relationship
Incoming: JO; outgoing: M3
Function
Predictive digital twin, preallocation evidence, anomaly detection, umbrella collection, and canonical physical containment request.
Expression
Applicable formula set and bounded family receipt
Statement
Sister contributes its role but cannot substitute for another participant.
Measurement
state stream, request trend, variance
Constraint
Prediction is not permission.
Annotation
@family(id=’SISTER’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant SISTER { input; verify; output; boundary; }
Literal
prediction, redundancy, early warning
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
11.1 Command-life-cycle role
At R0/R1, Sister receives only the typed inputs applicable to its role. Before N1 it may contribute se-
mantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
Prediction is not permission.
14
Chapter 12
EVE - EVE
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.EVE
Namespace
MJ.PBMEF.Family.EVE.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant EVE
Definition
Variance, evaporative effect, screen capture, leakage, smoke-like egress, and boundary-accounting evidence.
Capability
EVE observation, capture/egress ledger, hold, Pearl escape/capture observation
Participant
EVE
Relationship
Incoming: JO; outgoing: M3
Function
Variance, evaporative effect, screen capture, leakage, smoke-like egress, and boundary-accounting evidence.
Expression
Applicable formula set and bounded family receipt
Statement
EVE contributes its role but cannot substitute for another participant.
Measurement
mass/weight states, flows, screen measurements, residuals
Constraint
No release, pricing, minting, or execution.
Annotation
@family(id=’EVE’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant EVE { input; verify; output; boundary; }
Literal
diligence, respect, loss accounting, boundary truth
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
12.1 Command-life-cycle role
At R0/R1, EVE receives only the typed inputs applicable to its role. Before N1 it may contribute seman-
tic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
No release, pricing, minting, or execution.
15
Chapter 13
Mary / M3 - M3
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.M3
Namespace
MJ.PBMEF.Family.M3.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant M3
Definition
Bounded routing, API gateway, load balancing, connection pooling, and allocation stewardship.
Capability
route receipt, allocation lease use, return receipt, Pearl allocation/transfer receipt, Bangel Sheet partition route receipt
Participant
Mary / M3
Relationship
Incoming: ANGELS, BELLATRIX, SISTER, EVE; outgoing: MERMAID, SHIVA
Function
Bounded routing, API gateway, load balancing, connection pooling, and allocation stewardship.
Expression
Applicable formula set and bounded family receipt
Statement
Mary / M3 contributes its role but cannot substitute for another participant.
Measurement
admitted command, MJ lease, capacity evidence
Constraint
No authority minting, lease widening, or denial bypass.
Annotation
@family(id=’M3’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant M3 { input; verify; output; boundary; }
Literal
fair allocation, resource hygiene, bounded routing
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
13.1 Command-life-cycle role
At R0/R1, Mary / M3 receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No authority minting, lease widening, or denial bypass.
16
Chapter 14
Mermaid - MERMAID
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.MERMAID
Namespace
MJ.PBMEF.Family.MERMAID.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant MERMAID
Definition
Accounting, reconciliation, exposure, custody evidence, statements, tax lots, and financial consequence.
Capability
account, balance, exposure, reconciliation receipt
Participant
Mermaid
Relationship
Incoming: M3; outgoing: MJ_DECISION
Function
Accounting, reconciliation, exposure, custody evidence, statements, tax lots, and financial consequence.
Expression
Applicable formula set and bounded family receipt
Statement
Mermaid contributes its role but cannot substitute for another participant.
Measurement
transaction evidence, EVE evidence, Shiva proposal, Pearl lifecycle and Bangel Sheet audit particles
Constraint
No source-truth invention, minting, or final permit.
Annotation
@family(id=’MERMAID’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant MERMAID { input; verify; output; boundary; }
Literal
ledger truth, reconciliation, transparency
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
14.1 Command-life-cycle role
At R0/R1, Mermaid receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No source-truth invention, minting, or final permit.
17
Chapter 15
Shiva - SHIVA
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.SHIVA
Namespace
MJ.PBMEF.Family.SHIVA.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant SHIVA
Definition
Finance, money, treasury, liquidity, capital-job classification, risk/opportunity analysis, and distribution proposal.
Capability
capital proposal, job-of-money classification, distribution plan
Participant
Shiva
Relationship
Incoming: M3; outgoing: MJ_DECISION
Function
Finance, money, treasury, liquidity, capital-job classification, risk/opportunity analysis, and distribution proposal.
Expression
Applicable formula set and bounded family receipt
Statement
Shiva contributes its role but cannot substitute for another participant.
Measurement
capital purpose, Mermaid account, MK friction, risk evidence, Pearl regeneration opportunity vectors
Constraint
No banking, investment advice, custody, exchange, minting, or external operation authority.
Annotation
@family(id=’SHIVA’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant SHIVA { input; verify; output; boundary; }
Literal
liquidity first, stability, abundance with discipline, auditability
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
15.1 Command-life-cycle role
At R0/R1, Shiva receives only the typed inputs applicable to its role. Before N1 it may contribute se-
mantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
No banking, investment advice, custody, exchange, minting, or external operation authority.
18
Chapter 16
Shekina - SHEKINA
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.SHEKINA
Namespace
MJ.PBMEF.Family.SHEKINA.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant SHEKINA
Definition
Distributed placement, replication, continuity, and infrastructure evidence.
Capability
placement receipt, continuity evidence
Participant
Shekina
Relationship
Incoming: JO_EXECUTION; outgoing: receipt to MJ/JO
Function
Distributed placement, replication, continuity, and infrastructure evidence.
Expression
Applicable formula set and bounded family receipt
Statement
Shekina contributes its role but cannot substitute for another participant.
Measurement
placement request, MJ lease
Constraint
No authority from location and no scope widening.
Annotation
@family(id=’SHEKINA’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant SHEKINA { input; verify; output; boundary; }
Literal
continuity, bounded placement, resilience
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
16.1 Command-life-cycle role
At R0/R1, Shekina receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No authority from location and no scope widening.
19
Chapter 17
Belle - BELLE
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.BELLE
Namespace
MJ.PBMEF.Family.BELLE.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant BELLE
Definition
Engineering analysis, feasibility, topology review, and bounded proposals.
Capability
engineering proposal, risk note
Participant
Belle
Relationship
Incoming: MK; outgoing: receipt to MJ/JO
Function
Engineering analysis, feasibility, topology review, and bounded proposals.
Expression
Applicable formula set and bounded family receipt
Statement
Belle contributes its role but cannot substitute for another participant.
Measurement
design CAPO, physics CAPO
Constraint
Proposal is not execution or permit.
Annotation
@family(id=’BELLE’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant BELLE { input; verify; output; boundary; }
Literal
engineering clarity, feasibility, benchmarking
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
17.1 Command-life-cycle role
At R0/R1, Belle receives only the typed inputs applicable to its role. Before N1 it may contribute se-
mantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
Proposal is not execution or permit.
20
Chapter 18
Lecanto - LECANTO
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.LECANTO
Namespace
MJ.PBMEF.Family.LECANTO.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant LECANTO
Definition
Truthful governed visualization of state, provenance, uncertainty, and system structure.
Capability
visual representation
Participant
Lecanto
Relationship
Incoming: JO_EXECUTION; outgoing: MOANA
Function
Truthful governed visualization of state, provenance, uncertainty, and system structure.
Expression
Applicable formula set and bounded family receipt
Statement
Lecanto contributes its role but cannot substitute for another participant.
Measurement
JO evidence, Mermaid account, MK physics receipt, Bangel Sheet lineage and Pearl state
Constraint
Cannot manufacture certainty or underlying effects.
Annotation
@family(id=’LECANTO’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant LECANTO { input; verify; output; boundary; }
Literal
visibility, truth, uncertainty disclosure
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
18.1 Command-life-cycle role
At R0/R1, Lecanto receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
Cannot manufacture certainty or underlying effects.
21
Chapter 19
Moana - MOANA
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.MOANA
Namespace
MJ.PBMEF.Family.MOANA.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant MOANA
Definition
Browser and interaction presentation of governed applications and evidence.
Capability
interaction surface
Participant
Moana
Relationship
Incoming: LECANTO; outgoing: receipt to MJ/JO
Function
Browser and interaction presentation of governed applications and evidence.
Expression
Applicable formula set and bounded family receipt
Statement
Moana contributes its role but cannot substitute for another participant.
Measurement
Lecanto views, JO evidence
Constraint
No underlying effect or credential authority.
Annotation
@family(id=’MOANA’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant MOANA { input; verify; output; boundary; }
Literal
interaction truth, accessibility, bounded presentation
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
19.1 Command-life-cycle role
At R0/R1, Moana receives only the typed inputs applicable to its role.
Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No underlying effect or credential authority.
22
Chapter 20
Aviator - AVIATOR
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.AVIATOR
Namespace
MJ.PBMEF.Family.AVIATOR.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant AVIATOR
Definition
Organizational workspace, projects, decisions, roles, knowledge, and governed workflow.
Capability
workspace state, decision records
Participant
Aviator
Relationship
Incoming: JO_EXECUTION; outgoing: receipt to MJ/JO
Function
Organizational workspace, projects, decisions, roles, knowledge, and governed workflow.
Expression
Applicable formula set and bounded family receipt
Statement
Aviator contributes its role but cannot substitute for another participant.
Measurement
member purpose, governed records, Bangel Spreadsheets workbooks and reports
Constraint
No root authority, cross-tenant scope, or unadmitted finance.
Annotation
@family(id=’AVIATOR’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant AVIATOR { input; verify; output; boundary; }
Literal
understanding first, organization, decision trace
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
MANIFESTATION
Attribute
full_family_identity=true; self_authority=false
20.1 Command-life-cycle role
At R0/R1, Aviator receives only the typed inputs applicable to its role.
Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No root authority, cross-tenant scope, or unadmitted finance.
23
Chapter 21
CHI - CHI
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.CHI
Namespace
MJ.PBMEF.Family.CHI.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant CHI
Definition
Temporal variance and expected-observed-delivered-reconciled difference state.
Capability
variance object
Participant
CHI
Relationship
Incoming: MJ/root context; outgoing: receipt to MJ/JO
Function
Temporal variance and expected-observed-delivered-reconciled difference state.
Expression
Applicable formula set and bounded family receipt
Statement
CHI contributes its role but cannot substitute for another participant.
Measurement
timestamps, expected/observed states
Constraint
No pricing, punishment, rank, or execution.
Annotation
@family(id=’CHI’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant CHI { input; verify; output; boundary; }
Literal
variance truth, time awareness
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
STATE_ENTITY
Attribute
full_family_identity=true; self_authority=false
21.1 Command-life-cycle role
At R0/R1, CHI receives only the typed inputs applicable to its role. Before N1 it may contribute seman-
tic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may route,
reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its output
becomes part of JO’s final R2 receipt.
Hard boundary
No pricing, punishment, rank, or execution.
24
Chapter 22
WATER - WATER
Construct
Formula-specific expression
Module
MJ.PBMEF.Family.WATER
Namespace
MJ.PBMEF.Family.WATER.Day0
Import
MJ.PBMEF.Manifest, MJ.PBMEF.Authority, MJ.PBMEF.Formulas
Declaration
participant WATER
Definition
Interval uncertainty, verified floor, and bounded unknown-state classification.
Capability
state classification
Participant
WATER
Relationship
Incoming: MJ/root context; outgoing: receipt to MJ/JO
Function
Interval uncertainty, verified floor, and bounded unknown-state classification.
Expression
Applicable formula set and bounded family receipt
Statement
WATER contributes its role but cannot substitute for another participant.
Measurement
measurement intervals, evidence limits
Constraint
No authority or value from classification.
Annotation
@family(id=’WATER’, equal_identity=true, authority_bounded=true)
Directive
produce typed output; preserve unknown; return receipt
Block
participant WATER { input; verify; output; boundary; }
Literal
uncertainty honesty, bounded intervals
Reference
manifest/FAMILY-MANIFESTATION-REGISTER.json
Type
STATE_CLASS
Attribute
full_family_identity=true; self_authority=false
22.1 Command-life-cycle role
At R0/R1, WATER receives only the typed inputs applicable to its role. Before N1 it may contribute
semantic, canonical, physics, verification, prediction, safety, or allocation evidence. After N1 it may
route, reconcile, or prepare a bounded proposal. It cannot issue the final MJ permit unless it is MJ. Its
output becomes part of JO’s final R2 receipt.
Hard boundary
No authority or value from classification.
25
Chapter 23
Governed object verification
26
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23.1 JP_CAPO
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.JP_CAPO
Namespace
MJ.PBMEF.Object.JP_CAPO.Day0
Declaration
object JP_CAPO
Definition
Canonical math, algorithm, topology, or architecture representation
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Canonical math, algorithm, topology, or architecture representation
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’JP_CAPO’)
Directive
validate schema and provenance before use
Block
object JP_CAPO { fields; invariants; evidence; }
Literal
JP_CAPO
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.2 MK_PHYSICS_CAPO
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.MK_PHYSICS_CAPO
Namespace
MJ.PBMEF.Object.MK_PHYSICS_CAPO.Day0
Declaration
object MK_PHYSICS_CAPO
Definition
Physics applicability, quantities, units, boundaries, equations, uncertainty, and evidence
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Physics applicability, quantities, units, boundaries, equations, uncertainty, and evidence
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’MK_PHYSICS_CAPO’)
Directive
validate schema and provenance before use
Block
object MK_PHYSICS_CAPO { fields; invariants; evidence; }
Literal
MK_PHYSICS_CAPO
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.3 JO_PROOF_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.JO_PROOF_RECEIPT
Namespace
MJ.PBMEF.Object.JO_PROOF_RECEIPT.Day0
Declaration
object JO_PROOF_RECEIPT
Definition
Executed verification result
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Executed verification result
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’JO_PROOF_RECEIPT’)
Directive
validate schema and provenance before use
Block
object JO_PROOF_RECEIPT { fields; invariants; evidence; }
Literal
JO_PROOF_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.4 MJ_PERMIT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.MJ_PERMIT
Namespace
MJ.PBMEF.Object.MJ_PERMIT.Day0
Declaration
object MJ_PERMIT
Definition
Bounded permit decision issued only by MJ
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Bounded permit decision issued only by MJ
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’MJ_PERMIT’)
Directive
validate schema and provenance before use
Block
object MJ_PERMIT { fields; invariants; evidence; }
Literal
MJ_PERMIT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.5 EVE_OBSERVATION
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.EVE_OBSERVATION
Namespace
MJ.PBMEF.Object.EVE_OBSERVATION.Day0
Declaration
object EVE_OBSERVATION
Definition
Variance, screen, capture, egress, or residual evidence
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Variance, screen, capture, egress, or residual evidence
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’EVE_OBSERVATION’)
Directive
validate schema and provenance before use
Block
object EVE_OBSERVATION { fields; invariants; evidence; }
Literal
EVE_OBSERVATION
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.6 M3_ROUTE_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.M3_ROUTE_RECEIPT
Namespace
MJ.PBMEF.Object.M3_ROUTE_RECEIPT.Day0
Declaration
object M3_ROUTE_RECEIPT
Definition
Bounded routing and resource-use receipt
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Bounded routing and resource-use receipt
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’M3_ROUTE_RECEIPT’)
Directive
validate schema and provenance before use
Block
object M3_ROUTE_RECEIPT { fields; invariants; evidence; }
Literal
M3_ROUTE_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.7 MERMAID_ACCOUNT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.MERMAID_ACCOUNT
Namespace
MJ.PBMEF.Object.MERMAID_ACCOUNT.Day0
Declaration
object MERMAID_ACCOUNT
Definition
Accounting, custody, exposure, tax, and reconciliation record
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Accounting, custody, exposure, tax, and reconciliation record
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’MERMAID_ACCOUNT’)
Directive
validate schema and provenance before use
Block
object MERMAID_ACCOUNT { fields; invariants; evidence; }
Literal
MERMAID_ACCOUNT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.8 SHIVA_SHELL
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.SHIVA_SHELL
Namespace
MJ.PBMEF.Object.SHIVA_SHELL.Day0
Declaration
object SHIVA_SHELL
Definition
Governed account envelope for typed financial representations
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Governed account envelope for typed financial representations
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’SHIVA_SHELL’)
Directive
validate schema and provenance before use
Block
object SHIVA_SHELL { fields; invariants; evidence; }
Literal
SHIVA_SHELL
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.9 SHIVAS_INTERNAL_REFLECTION
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.SHIVAS_INTERNAL_REFLECTION
Namespace
MJ.PBMEF.Object.SHIVAS_INTERNAL_REFLECTION.Day0
Declaration
object SHIVAS_INTERNAL_REFLECTION
Definition
Internal non-transferable capital-reflection object
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Internal non-transferable capital-reflection object
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’SHIVAS_INTERNAL_REFLECTION’)
Directive
validate schema and provenance before use
Block
object SHIVAS_INTERNAL_REFLECTION { fields; invariants; evidence; }
Literal
SHIVAS_INTERNAL_REFLECTION
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.10 CHI_VARIANCE_OBJECT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.CHI_VARIANCE_OBJECT
Namespace
MJ.PBMEF.Object.CHI_VARIANCE_OBJECT.Day0
Declaration
object CHI_VARIANCE_OBJECT
Definition
Temporal difference object
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Temporal difference object
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’CHI_VARIANCE_OBJECT’)
Directive
validate schema and provenance before use
Block
object CHI_VARIANCE_OBJECT { fields; invariants; evidence; }
Literal
CHI_VARIANCE_OBJECT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.11 WATER_INTERVAL_STATE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.WATER_INTERVAL_STATE
Namespace
MJ.PBMEF.Object.WATER_INTERVAL_STATE.Day0
Declaration
object WATER_INTERVAL_STATE
Definition
Uncertainty interval state
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Uncertainty interval state
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’WATER_INTERVAL_STATE’)
Directive
validate schema and provenance before use
Block
object WATER_INTERVAL_STATE { fields; invariants; evidence; }
Literal
WATER_INTERVAL_STATE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.12 PASSKEY_PUBLIC_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PASSKEY_PUBLIC_RECEIPT
Namespace
MJ.PBMEF.Object.PASSKEY_PUBLIC_RECEIPT.Day0
Declaration
object PASSKEY_PUBLIC_RECEIPT
Definition
Public verification of founder signature over a bounded content root
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Public verification of founder signature over a bounded content root
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PASSKEY_PUBLIC_RECEIPT’)
Directive
validate schema and provenance before use
Block
object PASSKEY_PUBLIC_RECEIPT { fields; invariants; evidence; }
Literal
PASSKEY_PUBLIC_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.13 PEARL_VARIANCE_CONTAINER
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PEARL_VARIANCE_CONTAINER
Namespace
MJ.PBMEF.Object.PEARL_VARIANCE_CONTAINER.Day0
Declaration
object PEARL_VARIANCE_CONTAINER
Definition
Legacy stable ID for a pearl-shaped hypothetical simulation and information-retention object; never a physical container
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Legacy stable ID for a pearl-shaped hypothetical simulation and information-retention object; never a physical container
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PEARL_VARIANCE_CONTAINER’)
Directive
validate schema and provenance before use
Block
object PEARL_VARIANCE_CONTAINER { fields; invariants; evidence; }
Literal
PEARL_VARIANCE_CONTAINER
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.14 PEARL_ALLOCATION_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PEARL_ALLOCATION_RECEIPT
Namespace
MJ.PBMEF.Object.PEARL_ALLOCATION_RECEIPT.Day0
Declaration
object PEARL_ALLOCATION_RECEIPT
Definition
M3/JO receipt for simulated Pearl allocation, scenario capacity, source, destination, and lifecycle state; no physical effect
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
M3/JO receipt for simulated Pearl allocation, scenario capacity, source, destination, and lifecycle state; no physical effect
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PEARL_ALLOCATION_RECEIPT’)
Directive
validate schema and provenance before use
Block
object PEARL_ALLOCATION_RECEIPT { fields; invariants; evidence; }
Literal
PEARL_ALLOCATION_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.15 PEARL_ACOUSTIC_PROFILE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PEARL_ACOUSTIC_PROFILE
Namespace
MJ.PBMEF.Object.PEARL_ACOUSTIC_PROFILE.Day0
Declaration
object PEARL_ACOUSTIC_PROFILE
Definition
Hypothetical acoustic simulation profile with declared frequency, medium, observability, uncertainty, and no physical cohesion claim
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Hypothetical acoustic simulation profile with declared frequency, medium, observability, uncertainty, and no physical cohesion claim
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PEARL_ACOUSTIC_PROFILE’)
Directive
validate schema and provenance before use
Block
object PEARL_ACOUSTIC_PROFILE { fields; invariants; evidence; }
Literal
PEARL_ACOUSTIC_PROFILE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.16 PEARL_SYMPOSIUM_REGISTRY
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PEARL_SYMPOSIUM_REGISTRY
Namespace
MJ.PBMEF.Object.PEARL_SYMPOSIUM_REGISTRY.Day0
Declaration
object PEARL_SYMPOSIUM_REGISTRY
Definition
Mermaid/Shiva record of Pearl simulation scenarios, quantities, costs, implications, and regeneration opportunities under MJ
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Mermaid/Shiva record of Pearl simulation scenarios, quantities, costs, implications, and regeneration opportunities under MJ
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PEARL_SYMPOSIUM_REGISTRY’)
Directive
validate schema and provenance before use
Block
object PEARL_SYMPOSIUM_REGISTRY { fields; invariants; evidence; }
Literal
PEARL_SYMPOSIUM_REGISTRY
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.17 Bangel_SHEET
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.Bangel_SHEET
Namespace
MJ.PBMEF.Object.Bangel_SHEET.Day0
Declaration
object Bangel_SHEET
Definition
Governed spreadsheet-like workbook with immutable revisions, typed cells, dependency graph, and authority scopes
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Governed spreadsheet-like workbook with immutable revisions, typed cells, dependency graph, and authority scopes
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’Bangel_SHEET’)
Directive
validate schema and provenance before use
Block
object Bangel_SHEET { fields; invariants; evidence; }
Literal
Bangel_SHEET
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.18 Bangel_SHEET_CELL
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.Bangel_SHEET_CELL
Namespace
MJ.PBMEF.Object.Bangel_SHEET_CELL.Day0
Declaration
object Bangel_SHEET_CELL
Definition
Typed measurement cell with value, unit, uncertainty, formula, evidence, lineage, and revision
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Typed measurement cell with value, unit, uncertainty, formula, evidence, lineage, and revision
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’Bangel_SHEET_CELL’)
Directive
validate schema and provenance before use
Block
object Bangel_SHEET_CELL { fields; invariants; evidence; }
Literal
Bangel_SHEET_CELL
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.19 Bangel_SHEET_REVISION
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.Bangel_SHEET_REVISION
Namespace
MJ.PBMEF.Object.Bangel_SHEET_REVISION.Day0
Declaration
object Bangel_SHEET_REVISION
Definition
Content-addressed immutable workbook revision and conflict/merge evidence
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Content-addressed immutable workbook revision and conflict/merge evidence
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’Bangel_SHEET_REVISION’)
Directive
validate schema and provenance before use
Block
object Bangel_SHEET_REVISION { fields; invariants; evidence; }
Literal
Bangel_SHEET_REVISION
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.20 Bangel_SHEET_AUDIT_PARTICLE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.Bangel_SHEET_AUDIT_PARTICLE
Namespace
MJ.PBMEF.Object.Bangel_SHEET_AUDIT_PARTICLE.Day0
Declaration
object Bangel_SHEET_AUDIT_PARTICLE
Definition
Complete audit record for critical spreadsheet edits, formulas, recomputation, and reports
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Complete audit record for critical spreadsheet edits, formulas, recomputation, and reports
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’Bangel_SHEET_AUDIT_PARTICLE’)
Directive
validate schema and provenance before use
Block
object Bangel_SHEET_AUDIT_PARTICLE { fields; invariants; evidence; }
Literal
Bangel_SHEET_AUDIT_PARTICLE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.21 JPOSMJ_PRODUCT_ENVELOPE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.JPOSMJ_PRODUCT_ENVELOPE
Namespace
MJ.PBMEF.Object.JPOSMJ_PRODUCT_ENVELOPE.Day0
Declaration
object JPOSMJ_PRODUCT_ENVELOPE
Definition
Portfolio envelope binding JP-origin product logic through MK physics, JO proof, and MJ permit
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Portfolio envelope binding JP-origin product logic through MK physics, JO proof, and MJ permit
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’JPOSMJ_PRODUCT_ENVELOPE’)
Directive
validate schema and provenance before use
Block
object JPOSMJ_PRODUCT_ENVELOPE { fields; invariants; evidence; }
Literal
JPOSMJ_PRODUCT_ENVELOPE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.22 SISTER_PHYSICAL_CONTAINMENT_PROFILE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.SISTER_PHYSICAL_CONTAINMENT_PROFILE
Namespace
MJ.PBMEF.Object.SISTER_PHYSICAL_CONTAINMENT_PROFILE.Day0
Declaration
object SISTER_PHYSICAL_CONTAINMENT_PROFILE
Definition
Pre-Pearl physical umbrella/descent/containment profile with normalized topology and profile-specific unknown physical size/capacity
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Pre-Pearl physical umbrella/descent/containment profile with normalized topology and profile-specific unknown physical size/capacity
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’SISTER_PHYSICAL_CONTAINMENT_PROFILE’)
Directive
validate schema and provenance before use
Block
object SISTER_PHYSICAL_CONTAINMENT_PROFILE { fields; invariants; evidence; }
Literal
SISTER_PHYSICAL_CONTAINMENT_PROFILE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.23 STANDARD_CONTAINMENT_GEOMETRY_PROFILE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.STANDARD_CONTAINMENT_GEOMETRY_PROFILE
Namespace
MJ.PBMEF.Object.STANDARD_CONTAINMENT_GEOMETRY_PROFILE.Day0
Declaration
object STANDARD_CONTAINMENT_GEOMETRY_PROFILE
Definition
Typed scale-independent rectangle/cone/umbrella/descent/EVE/reservoir geometry and modification parameters
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Typed scale-independent rectangle/cone/umbrella/descent/EVE/reservoir geometry and modification parameters
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’STANDARD_CONTAINMENT_GEOMETRY_PROFILE’)
Directive
validate schema and provenance before use
Block
object STANDARD_CONTAINMENT_GEOMETRY_PROFILE { fields; invariants; evidence; }
Literal
STANDARD_CONTAINMENT_GEOMETRY_PROFILE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.24 REFERENCE_GAS_PROFILE_H2
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.REFERENCE_GAS_PROFILE_H2
Namespace
MJ.PBMEF.Object.REFERENCE_GAS_PROFILE_H2.Day0
Declaration
object REFERENCE_GAS_PROFILE_H2
Definition
H2 equation/reference profile for density, equivalent volume, observed gas height, and motion calculations; no physical use authority
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
H2 equation/reference profile for density, equivalent volume, observed gas height, and motion calculations; no physical use authority
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’REFERENCE_GAS_PROFILE_H2’)
Directive
validate schema and provenance before use
Block
object REFERENCE_GAS_PROFILE_H2 { fields; invariants; evidence; }
Literal
REFERENCE_GAS_PROFILE_H2
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.25 CONTAINMENT_MODIFICATION_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.CONTAINMENT_MODIFICATION_RECEIPT
Namespace
MJ.PBMEF.Object.CONTAINMENT_MODIFICATION_RECEIPT.Day0
Declaration
object CONTAINMENT_MODIFICATION_RECEIPT
Definition
Recalculation and revalidation receipt for command/profile-specific geometry changes
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Recalculation and revalidation receipt for command/profile-specific geometry changes
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’CONTAINMENT_MODIFICATION_RECEIPT’)
Directive
validate schema and provenance before use
Block
object CONTAINMENT_MODIFICATION_RECEIPT { fields; invariants; evidence; }
Literal
CONTAINMENT_MODIFICATION_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.26 CONE_TOP_PEARL_ANCHOR
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.CONE_TOP_PEARL_ANCHOR
Namespace
MJ.PBMEF.Object.CONE_TOP_PEARL_ANCHOR.Day0
Declaration
object CONE_TOP_PEARL_ANCHOR
Definition
Hypothetical information coordinate at the top-of-cone observation plane; no physical placement
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Hypothetical information coordinate at the top-of-cone observation plane; no physical placement
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’CONE_TOP_PEARL_ANCHOR’)
Directive
validate schema and provenance before use
Block
object CONE_TOP_PEARL_ANCHOR { fields; invariants; evidence; }
Literal
CONE_TOP_PEARL_ANCHOR
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.27 GAS_HEIGHT_OBSERVATION
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.GAS_HEIGHT_OBSERVATION
Namespace
MJ.PBMEF.Object.GAS_HEIGHT_OBSERVATION.Day0
Declaration
object GAS_HEIGHT_OBSERVATION
Definition
Calibrated pressure/temperature/density/height/time observation for gas-front reference calculations
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Calibrated pressure/temperature/density/height/time observation for gas-front reference calculations
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’GAS_HEIGHT_OBSERVATION’)
Directive
validate schema and provenance before use
Block
object GAS_HEIGHT_OBSERVATION { fields; invariants; evidence; }
Literal
GAS_HEIGHT_OBSERVATION
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.28 RESERVOIR_RETURN_LOOP_PROFILE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.RESERVOIR_RETURN_LOOP_PROFILE
Namespace
MJ.PBMEF.Object.RESERVOIR_RETURN_LOOP_PROFILE.Day0
Declaration
object RESERVOIR_RETURN_LOOP_PROFILE
Definition
Typed rear outlet, external reservoir, and circular reentry geometry/profile.
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Typed rear outlet, external reservoir, and circular reentry geometry/profile.
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’RESERVOIR_RETURN_LOOP_PROFILE’)
Directive
validate schema and provenance before use
Block
object RESERVOIR_RETURN_LOOP_PROFILE { fields; invariants; evidence; }
Literal
RESERVOIR_RETURN_LOOP_PROFILE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.29 OUTWARD_GAP_PATH_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.OUTWARD_GAP_PATH_RECEIPT
Namespace
MJ.PBMEF.Object.OUTWARD_GAP_PATH_RECEIPT.Day0
Declaration
object OUTWARD_GAP_PATH_RECEIPT
Definition
JO/MK proof that the outlet path remains outside the nonphysical Pearl reference circle.
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
JO/MK proof that the outlet path remains outside the nonphysical Pearl reference circle.
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’OUTWARD_GAP_PATH_RECEIPT’)
Directive
validate schema and provenance before use
Block
object OUTWARD_GAP_PATH_RECEIPT { fields; invariants; evidence; }
Literal
OUTWARD_GAP_PATH_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.30 RESERVOIR_BUFFER_ACCOUNT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.RESERVOIR_BUFFER_ACCOUNT
Namespace
MJ.PBMEF.Object.RESERVOIR_BUFFER_ACCOUNT.Day0
Declaration
object RESERVOIR_BUFFER_ACCOUNT
Definition
EVE/Mermaid typed balance of admitted, returned, drained, escaped, and retained quantities.
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
EVE/Mermaid typed balance of admitted, returned, drained, escaped, and retained quantities.
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’RESERVOIR_BUFFER_ACCOUNT’)
Directive
validate schema and provenance before use
Block
object RESERVOIR_BUFFER_ACCOUNT { fields; invariants; evidence; }
Literal
RESERVOIR_BUFFER_ACCOUNT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.31 CIRCULAR_REENTRY_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.CIRCULAR_REENTRY_RECEIPT
Namespace
MJ.PBMEF.Object.CIRCULAR_REENTRY_RECEIPT.Day0
Declaration
object CIRCULAR_REENTRY_RECEIPT
Definition
Circular port, inward angle, tangential component, continuity, and spiral-compatibility evidence.
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Circular port, inward angle, tangential component, continuity, and spiral-compatibility evidence.
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’CIRCULAR_REENTRY_RECEIPT’)
Directive
validate schema and provenance before use
Block
object CIRCULAR_REENTRY_RECEIPT { fields; invariants; evidence; }
Literal
CIRCULAR_REENTRY_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.32 RELATIVE_FRAME_FRICTION_LEDGER
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.RELATIVE_FRAME_FRICTION_LEDGER
Namespace
MJ.PBMEF.Object.RELATIVE_FRAME_FRICTION_LEDGER.Day0
Declaration
object RELATIVE_FRAME_FRICTION_LEDGER
Definition
MK/JO/Mermaid record of frame-relative velocity, dissipation, and any bounded recoverable-energy claim.
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
MK/JO/Mermaid record of frame-relative velocity, dissipation, and any bounded recoverable-energy claim.
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’RELATIVE_FRAME_FRICTION_LEDGER’)
Directive
validate schema and provenance before use
Block
object RELATIVE_FRAME_FRICTION_LEDGER { fields; invariants; evidence; }
Literal
RELATIVE_FRAME_FRICTION_LEDGER
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.33 RESERVOIR_LAKE_BUFFER
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.RESERVOIR_LAKE_BUFFER
Namespace
MJ.PBMEF.Object.RESERVOIR_LAKE_BUFFER.Day0
Declaration
object RESERVOIR_LAKE_BUFFER
Definition
Bounded post-containment buffer candidate for retention, redistribution, and receipted re-entry
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Bounded post-containment buffer candidate for retention, redistribution, and receipted re-entry
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’RESERVOIR_LAKE_BUFFER’)
Directive
validate schema and provenance before use
Block
object RESERVOIR_LAKE_BUFFER { fields; invariants; evidence; }
Literal
RESERVOIR_LAKE_BUFFER
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.34 BACKSIDE_OUTLET_PORT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.BACKSIDE_OUTLET_PORT
Namespace
MJ.PBMEF.Object.BACKSIDE_OUTLET_PORT.Day0
Declaration
object BACKSIDE_OUTLET_PORT
Definition
High backside outlet candidate located below containment maximum height
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
High backside outlet candidate located below containment maximum height
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’BACKSIDE_OUTLET_PORT’)
Directive
validate schema and provenance before use
Block
object BACKSIDE_OUTLET_PORT { fields; invariants; evidence; }
Literal
BACKSIDE_OUTLET_PORT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.35 OUTWARD_GAP_ARC
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.OUTWARD_GAP_ARC
Namespace
MJ.PBMEF.Object.OUTWARD_GAP_ARC.Day0
Declaration
object OUTWARD_GAP_ARC
Definition
Outward-facing angular reference through which the outlet clears the nonphysical Pearl reference circle
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Outward-facing angular reference through which the outlet clears the nonphysical Pearl reference circle
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’OUTWARD_GAP_ARC’)
Directive
validate schema and provenance before use
Block
object OUTWARD_GAP_ARC { fields; invariants; evidence; }
Literal
OUTWARD_GAP_ARC
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.36 PEARL_REFERENCE_CIRCLE
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PEARL_REFERENCE_CIRCLE
Namespace
MJ.PBMEF.Object.PEARL_REFERENCE_CIRCLE.Day0
Declaration
object PEARL_REFERENCE_CIRCLE
Definition
Hypothetical simulation/measurement circle used for path-clearance calculations; no physical wall or capacity
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Hypothetical simulation/measurement circle used for path-clearance calculations; no physical wall or capacity
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PEARL_REFERENCE_CIRCLE’)
Directive
validate schema and provenance before use
Block
object PEARL_REFERENCE_CIRCLE { fields; invariants; evidence; }
Literal
PEARL_REFERENCE_CIRCLE
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.37 CIRCULAR_REENTRY_PORT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.CIRCULAR_REENTRY_PORT
Namespace
MJ.PBMEF.Object.CIRCULAR_REENTRY_PORT.Day0
Declaration
object CIRCULAR_REENTRY_PORT
Definition
Circular inward-angled port candidate supplying measured radial and tangential re-entry components
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Circular inward-angled port candidate supplying measured radial and tangential re-entry components
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’CIRCULAR_REENTRY_PORT’)
Directive
validate schema and provenance before use
Block
object CIRCULAR_REENTRY_PORT { fields; invariants; evidence; }
Literal
CIRCULAR_REENTRY_PORT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
23.38 RESERVOIR_TRANSFER_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.RESERVOIR_TRANSFER_RECEIPT
Namespace
MJ.PBMEF.Object.RESERVOIR_TRANSFER_RECEIPT.Day0
Declaration
object RESERVOIR_TRANSFER_RECEIPT
Definition
Per-transaction outlet/lake/re-entry/cycle/participant evidence receipt
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Per-transaction outlet/lake/re-entry/cycle/participant evidence receipt
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’RESERVOIR_TRANSFER_RECEIPT’)
Directive
validate schema and provenance before use
Block
object RESERVOIR_TRANSFER_RECEIPT { fields; invariants; evidence; }
Literal
RESERVOIR_TRANSFER_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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23.39 PERSPECTIVE_FRICTION_RECEIPT
Construct
Formula-specific expression
Module
MJ.PBMEF.Object.PERSPECTIVE_FRICTION_RECEIPT
Namespace
MJ.PBMEF.Object.PERSPECTIVE_FRICTION_RECEIPT.Day0
Declaration
object PERSPECTIVE_FRICTION_RECEIPT
Definition
Separates coordinate-transform residual, physical dissipation, and information friction
Capability
Represent, retain, route, reconcile, or evidence only as declared
Participant
Bound participants determined by object role
Relationship
Referenced by JP/MK/JO and applicable family manifestations
Function
Separates coordinate-transform residual, physical dissipation, and information friction
Expression
Typed object fields and invariant predicates
Statement
Object identity is not authority.
Measurement
Only when fields include valid quantity, units, boundary, time, and uncertainty
Constraint
authority=false; no self-admission
Annotation
@object(id=’PERSPECTIVE_FRICTION_RECEIPT’)
Directive
validate schema and provenance before use
Block
object PERSPECTIVE_FRICTION_RECEIPT { fields; invariants; evidence; }
Literal
PERSPECTIVE_FRICTION_RECEIPT
Reference
manifest/FAMILY-OBJECT-REGISTER.json
Type
GOVERNED_OBJECT
Attribute
authority=false
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