D003 / Pink / Review draft

DRO-PEARL-PINK-001

Terminology revised · evidence inherited

DRO-PEARL-PINK-001. Source pages 30-32. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained.

INTERNAL PRE-PASSKEY REFERENCE. NOT PHYSICAL VALIDATION. NOT AN IP APPROVAL OR OWNERSHIP DETERMINATION. NO IGNITION, HYDROGEN SEPARATION, COMBUSTION
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DRO-to-Pearl Computational Node, Capacity, Handoff,
and Accounting Lifecycle
MJ-PBMEF-DAY0-R8-DRO-PEARL-LECANTO-90K-FINAL | Pink paper | DRO-PEARL-PINK-001
INTERNAL PRE-PASSKEY REFERENCE. NOT PHYSICAL VALIDATION. NOT AN IP APPROVAL OR OWNERSHIP DETERMINATION. NO IGNITION,
HYDROGEN SEPARATION, COMBUSTION, ENGINE, VESSEL, ROCKET, WEAPON, PRODUCTION, OR EXTERNAL-EFFECT AUTHORITY.
Full Pink Paper source
# DRO-to-Pearl Computational Node, Capacity, Handoff, and Accounting Lifecycle
**Pink-paper ID:** `DRO-PEARL-PINK-001`
**Build:** `MJ-PBMEF-DAY0-R8-DRO-PEARL-LECANTO-90K-FINAL`
**Author and architect:** Michael Bangel
**Status:** `PREPASSKEY_REFERENCE_CANDIDATE`
INTERNAL PRE-PASSKEY REFERENCE. NOT PHYSICAL VALIDATION. NOT AN IP APPROVAL OR OWNERSHIP
DETERMINATION. NO IGNITION, HYDROGEN SEPARATION, COMBUSTION, ENGINE, VESSEL, ROCKET, WEAPON,
PRODUCTION, OR EXTERNAL-EFFECT AUTHORITY.
## Gateway expression
text
{hagelaohrbcoe.48383829}.M3.act.MJ.23.r2.exe.r1.confirm.G123.reconcile.Bangel.begin
The raw literal is retained as provenance. The normalized governed order remains MJ -> Bangel -> R/R1 -> N1 -> Elsa -> JP
-> MK -> JO -> evidence -> M3 -> Mermaid/Shiva -> MJ permit -> R2 -> bounded output or hold.
## Bangel construct coverage
- **Module:** the module role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Namespace:** the namespace role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Import:** the import role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Declaration:** the declaration role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Definition:** the definition role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Capability:** the capability role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Participant:** the participant role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Relationship:** the relationship role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Function:** the function role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Expression:** the expression role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Statement:** the statement role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Measurement:** the measurement role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Constraint:** the constraint role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Annotation:** the annotation role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Directive:** the directive role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Block:** the block role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Literal:** the literal role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Reference:** the reference role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Type:** the type role in this domain must preserve types, units, evidence, authority, and claims ceiling.
- **Attribute:** the attribute role in this domain must preserve types, units, evidence, authority, and claims ceiling.
## Governed objects
- `DRO_PEARL_HANDOFF_RECEIPT`
- `PEARL_DRO_NODE`


INTERNAL PRE-PASSKEY REFERENCE. NOT PHYSICAL VALIDATION. NOT AN IP APPROVAL OR OWNERSHIP DETERMINATION. NO IGNITION, HYDROGEN SEPARATION, COMBUSTION
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## Formula-by-formula lifecycle
### F-203 - DRO remainder
Expression: `Q_rem = Q_observed - N_DRO*q_unit`
Unallocated typed remainder; never silently discarded.
Path: `Bangel -> Elsa -> JP -> MK -> JO -> safety/evidence -> M3 -> Mermaid/Shiva -> MJ -> JO evidence`.
Evidence ceiling: `REFERENCE_MODEL_OR_SIMULATION_UNTIL_CALIBRATED_PROFILE_SPECIFIC_EVIDENCE`.
Physical authority: `NONE`.
### F-204 - Pearl-node allocation count
Expression: `N_P = ceil(N_DRO/C_P)`
Number of computational Pearl nodes required for DRO records.
Path: `Bangel -> Elsa -> JP -> MK -> JO -> safety/evidence -> M3 -> Mermaid/Shiva -> MJ -> JO evidence`.
Evidence ceiling: `REFERENCE_MODEL_OR_SIMULATION_UNTIL_CALIBRATED_PROFILE_SPECIFIC_EVIDENCE`.
Physical authority: `NONE`.
### F-217 - DRO capacity slack
Expression: `S_k = (1-h_k)C_k - L_k`
Remaining capacity in each typed Pearl-node dimension.
Path: `Bangel -> Elsa -> JP -> MK -> JO -> safety/evidence -> M3 -> Mermaid/Shiva -> MJ -> JO evidence`.
Evidence ceiling: `REFERENCE_MODEL_OR_SIMULATION_UNTIL_CALIBRATED_PROFILE_SPECIFIC_EVIDENCE`.
Physical authority: `NONE`.
### F-218 - DRO overflow vector
Expression: `E_k = max(0,L_k-(1-h_k)C_k)`
Typed excess; surplus in another dimension cannot compensate.
Path: `Bangel -> Elsa -> JP -> MK -> JO -> safety/evidence -> M3 -> Mermaid/Shiva -> MJ -> JO evidence`.
Evidence ceiling: `REFERENCE_MODEL_OR_SIMULATION_UNTIL_CALIBRATED_PROFILE_SPECIFIC_EVIDENCE`.
Physical authority: `NONE`.
### F-219 - DRO ledger balance
Expression: `r_Q = Q_in-Q_alloc-Q_retained-Q_transferred-Q_escaped-Delta Q_stored`
Complete quantity balance.
Path: `Bangel -> Elsa -> JP -> MK -> JO -> safety/evidence -> M3 -> Mermaid/Shiva -> MJ -> JO evidence`.
Evidence ceiling: `REFERENCE_MODEL_OR_SIMULATION_UNTIL_CALIBRATED_PROFILE_SPECIFIC_EVIDENCE`.
Physical authority: `NONE`.
Referenced formulas
F-203 - DRO remainder: Q_rem = Q_observed - N_DRO*q_unit
F-204 - Pearl-node allocation count: N_P = ceil(N_DRO/C_P)
F-217 - DRO capacity slack: S_k = (1-h_k)C_k - L_k
F-218 - DRO overflow vector: E_k = max(0,L_k-(1-h_k)C_k)
F-219 - DRO ledger balance: r_Q = Q_in-Q_alloc-Q_retained-Q_transferred-Q_escaped-Delta Q_stored


INTERNAL PRE-PASSKEY REFERENCE. NOT PHYSICAL VALIDATION. NOT AN IP APPROVAL OR OWNERSHIP DETERMINATION. NO IGNITION, HYDROGEN SEPARATION, COMBUSTION
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Lifecycle and authority
Every path preserves MJ -> Bangel -> Elsa -> JP -> MK -> JO -> evidence -> M3 -> Mermaid/Shiva -> MJ bounded decision
-> JO evidence. No model, proof, or passkey creates physical operation authority.

Publication is pending owner review. White papers are excluded.