C958 — Greatest feasible lifespan field

Question

Why does the minimum represent shortening only as required?

Inputs

{
  "constraints": [
    "x_i≤baseline_i",
    "x_i≤capacity_i"
  ],
  "objective": "maximize sum(x_i)"
}

Sources

[
  "C956",
  "C957"
]

Opened utc

2026-09-28T03:46:48.269850+00:00

Results

{
  "coordinate_bound": "Every feasible x_i is at most min(L_i,C_i).",
  "feasibility": "The coordinatewise minimum satisfies both upper bounds.",
  "uniqueness": "If any coordinate is smaller, the sum is smaller because no other coordinate can exceed its bound.",
  "qualification": "Conditional on the two upper bounds and fixed row meanings."
}

Finding

The cap is the unique coordinatewise greatest feasible vector and uniquely minimizes total reduction. This states the model’s mechanism without inventing an optimization history.

Reassessment

Recover death labels with each branch’s own counting convention.

Checks

{
  "upper_bound_logic": true,
  "no_increase": true
}

Closed utc

2026-09-28T03:46:48.270093+00:00

Record provenance

Exact record hash: 8d9ff13e69ac57e12fe216c71f7c1cdb31fab566310d7957925835a63d4d7329

Source journal: Research_Cycles/C0932_C1131/journal.json