RW-BLUE-0077 / Rainbow / Review draft

Spreadsheet capacity gate

Terminology revised · evidence inherited

Rainbow Pages Combined 1351 Pages. Source pages 7561-7561. Nomenclature updated; historical equations, evidence limits and unresolved relationships retained.

RW-BLUE-0077
Spreadsheet capacity gate
official-docs/blue-pages/individual/algorithms/BP-ALG-077_Spreadsheet-capacity-gate.pdf
NODE PLACEMENT / RAINBOW PATH
R
R1
N1
U
D
C
OUT
Hypothetical until typed evidence, profile geometry, and MJ permit support an effect.
R STATUS / OBSERVATION
R preserves pre-observational or anticipated state. R1 records an identified but
unresolved living observation. N1 is the first prediction-based admission node.
R2 may be emitted only after evidence, physics, proof, authority, and
claims-ceiling gates pass.
SOURCE RULE / INTENT
F-080: lambda_total<=rho_max*sum_p(mu_p) AND
memory_required<=memory_available AND cross_partition_edges<=cut_limit.
F-080 means Admission requires throughput, memory, and partition-boundary
capacity to pass together.
PATH OF EXPRESSION
Human purpose -> MJ scope -> Bangel typing -> Elsa semantic recovery -> JP representation -> MK physics classification -> JO proof -> Angels/Bellatrix/Sister/EVE
evidence -> M3 routing -> Mermaid/Shiva when applicable -> MJ bounded decision -> JO evidence.
CODE / MATH / PROCESS REPRESENTATION
module MJ.Rainbow.Spreadsheet_capacity_gate
reference "BP-ALG-077"
state R -> R1
node N1
representation JP(BP-ALG-077)
physics MK(classify, units, boundary, uncertainty)
verify JO(types, evidence, receipts)
if all_required_gates == PASS:
MJ.permit -> R2 -> bounded_output
else:
HOLD | FAIL_TECHNICAL | DENY
# F-080: lambda_total<=rho_max*sum_p(mu_p) AND memory_required<=memory_available AND cross_partition_edges<=cut_limit. F-0
Internal reference only. No physical validation, operation authority, product certification, external effect, IP approval, or ethics waiver.
MJ-PBMEF-DAY0-R12-RAINBOW-230K-PDF-MIRROR-FINAL | RW-BLUE-0077

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