C1202 — Derive the composite cap-plus-round inverse set

Question

What original lifespans can produce a fixed rounded capped value when capacity is known?

Inputs

{}

Sources

[
  "C1201",
  "C1143",
  "C1131 cap analysis"
]

Opened utc

2026-09-28T05:26:09.238998+00:00

Results

{
  "fibre_law": {
    "path": "model/cap_round_fibre_law.json",
    "sha256": "4ff7af76d04d05a1559f9918457b5a1ea19a6369cf01f0740073105104291fbf",
    "bytes": 2166
  }
}

Finding

At the rounded capacity, a finite rounding cell joins an unbounded cap tail. The rounded capped output can therefore forget even whether clipping occurred.

Reassessment

Apply the threshold formula to the three SP clipped capacities.

Checks

{
  "thresholds": true,
  "tails": true
}

Closed utc

2026-09-28T05:26:09.239508+00:00

Record provenance

Exact record hash: df5e09d75d05022c7bc20ea540505645c79ac555ed0492221773a5d49d1198f6

Source journal: Research_Cycles/C1132_C1431_Recovered/journal.json