Enter, 03-I-C-Ex-v2, 2026, pp. 1-35

I-C-Ex-v2: Sharp Access Bounds, Residual Capacity, and Nine Extensions of Destructive Enter Classical trajectories, named observables, thermal ledgers, and prescribed-spacetime comparisons

Ngo Cheung

18 October 2026 Version 2

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Abstract

An informative classical record need not return an unknown quantum code. We develop this distinction into a common access framework for nine extensions of the destructive Enter interface on the prescribed conical host of I-B. The central quantitative result is a sharp resource law: if the complete message-bearing output consists of an arbitrary classical record and a quantum factor of dimension at most k, every deterministic decoder for a d-dimensional code satisfies F_e ≤ k/d, 1/2‖𝒟𝒩 − id ‖_{◇} ≥ 1 − k/d, 1 ≤ k ≤ d. A finite-outcome construction attains both constants for every d, k. Branch-dependent dimensions, implementation allowances, and genuine path-space instruments are included. Version 2 strengthens the framework in four directions. Exact recovery requires accessible dimension at least d times the rank of the constant complete complement. Hybrid entropy separates monotone classical accumulation from nonmonotone quantum residual entropy. Continuous programming of one fixed finite reporting instrument yields a complete-channel limit without enlarging its declared quantum access. Finally, the distance between two binary-effect channels equals the operator-norm difference of their effects, giving a numerical, correctly directed comparison between observable reconstruction and whole-code recovery. Explicit weak, diffusive, jump, monitored-circuit, detector, packet-transfer, environment, reset, transport, and endpoint models instantiate the nine extensions. A conserving finite construction has identical entropy-history statistics for fixed pure probes but endpoint recovery errors 0 and 1 − d^{−2}. These results may support sharper audits of what records, residuals, and resources actually certify. The contribution is the explicit sharp synthesis and its application-specific separations, not a priority claim for Schmidt-number theory, continuous measurement, exact error correction, or Landauer balance. No continuum detector, measurement-induced transition, physical cosmological horizon, evaporation endpoint, Page curve, Einstein dynamics, or spacetime emergence is derived. O.1 on the cone remains texttt NOT_CLOSED.

Bibliographic record

Title

I-C-Ex-v2: Sharp Access Bounds, Residual Capacity, and Nine Extensions of Destructive Enter Classical trajectories, named observables, thermal ledgers, and prescribed-spacetime comparisons

Author

Cheung, Ngo

Publication date

2026

Institution

Enter

Report number

03-I-C-Ex-v2

Publisher

Cheung Ngo Medical Limited

First page

1

Last page

35

Language

en