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Preliminary Summary of Harmonic Readout and c=1 Area Sweep in an AB Two-Body Closed Phase System

Noriaki Kihara

Published Jul 12, 2026• 0 citations
Publisher

Abstract

This V3 release updates the AB two-body harmonic readout and c=1 area sweep summary while keeping the original scope and claims unchanged. V3 applies the fermion-like recoil map to chi_read as the scattering-matrix factor q_out_factor. The result confirms that the harmonic acceleration-like readout frame and the chi-tau surface remain evaluable in the AB two-body closed phase system. The paper still does not claim a native inverse-area, inverse-law, or inverse-square-law derivation.

DOI
10.5281/zenodo.21318696

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# Zenodo description — Logon Framework v3.18 ## What this is **Logon Framework v3.18** is a strict generalization of v3.17. It extends the typed kernel from a discrete/Markov presentation to **process-level objects** capable of expressing: - non-Markov (history-dependent) dynamics,- amplitude/interference as a first-class possibility (not merely hidden-state stochasticity),- endogenous locality via a coupling field **W** with rate-limited updates (finite propagation),- coarse-graining / scaling as typed maps on histories, with explicit licensing conditions for when an effective classical/Markov description is valid. v3.18 is deliberately scoped as an **expressibility / landing-site** document. It does not claim to derive physics results; it aims to provide clean typed places where those structures could live, and to state explicit admissibility/firewall constraints that keep the framework checkable. ## Files - `logon_framework_v3.18.md` — main v3.18 document. ## Relationship to v3.17 v3.17 remains the stable discrete kernel document. v3.18 does not replace it; it broadens the kernel so that v3.17 is recovered as a special case (classical process class + Markov factorization). ## Keywords logon framework; typed kernel; process objects; non-Markov dynamics; decoherence licensing; coarse-graining; emergent locality; admissibility; epistemic firewall

•Jan 1, 2026•0 citations
This V3 release updates the AB two-body harmonic readout and c=1 area sweep summary while keeping the original scope and claims unchanged. V3 applies the fermion-like recoil map to chi_read as the scattering-matrix factor q_out_factor. The result confirms that the harmonic acceleration-like readout frame and the chi-tau surface remain evaluable in the AB two-body closed phase system. The paper still does not claim a native inverse-area, inverse-law, or inverse-square-law derivation.
Fourth paper of the Dimensional Generation Structure series. Under a fixed antisymmetric generator, each rotation plane of the N-body complete pairwise relational-wave system is an invariant subspace carrying a single-frequency rotation, kinematically isomorphic to the two-body AB system. Five theorems are established: (1) constant-angle, constant-amplitude plane rotation with angle 2 arctan(gamma sigma_j), orientation fixed by the generator (K p = sigma q, residual gauge SO(2)); (2) under the in-plane SO(2) gauge the absolute phase is unreadable while signed progression, frequency, and amplitude are readable - Axiom 5 reproduced at the level of derived quantities; (3) exact energy decomposition H = sum H_j + H_ker with individual conservation; (4) the static kernel admits no progression-based readouts, while the projector, kernel squared quantity, and state projection are covariant (dynamical realization of Consequence 16.3); (5) the squared closure also decomposes, sum Q_j + Q_ker = R^2, with each term individually conserved - a double conservation register per plane, yielding a no-go: under a fixed generator neither closure nor energy-like quantities move between planes, so spontaneous state splitting requires dynamics beyond the fixed generator. The zero-order harmonic second-order structure Delta^2 c = -4 sin^2(theta/2) c holds on every plane at machine precision; the exponent -2 in the continuous-spectrum re-expression is a definitional consequence, explicitly distinguished from integer-harmonic closure. The plane counterpart of the AB same-time positional readout D_AB and the construction of the Axiom-17 observed acceleration on adopted planes are stated as connection problems. Experiments F-I (N = 3-9, 32 trials x 720 steps, fixed generator, no sequential renormalization) verify all claims, including frequency nondegeneracy as an independent general-position assumption. Japanese and English texts, TeX/PDF, four figures, experiment code, and reproduction data are included.
This preliminary technical report introduces MPC4-Q, an external logic-operational immunity layer for quantum information recovery on real IBM Quantum hardware. The system does not claim to improve physical qubit lifetime. Instead, it searches for recoverable quantum information paths under real hardware noise and certifies them using raw success, readout mitigation, Wilson lower-bound statistics and MELON reliability. The experimental campaign was executed on IBM Marrakesh under a constrained runtime budget. The main IBM run evaluated MELON-ENTANGLE v3 at depth 1 using physical layout selection, scout/exploit phases, readout calibration, raw count collection and Wilson-bound acceptance. The best exploit candidate used depth 1, challenge state 000, mode melon, variant 2 and layout_id 3. It obtained 8055 successes over 8192 shots, with raw_success = 0.9832763671875, mitigated_success = 0.9919348111472791, Wilson99 lower bound = 0.9792164071213207 and MELON reliability = 0.9850393690738396. The result is intentionally reported conservatively: although readout-mitigated success exceeded 99%, the experiment did not pass the strict 99-Gate because the Wilson 99% lower bound remained below 0.99. This makes the dataset useful as an honest preliminary benchmark for logic-operational quantum information recovery on noisy cloud-accessible quantum hardware. The uploaded material includes the bilingual paper, LaTeX source package, experimental figures, CSV metric summaries and JSON metadata files. These files document the IBM backend, job identifiers, raw counts, circuit metadata, readout confusion matrices, scout metrics, exploit metrics and summary metrics. The implementation code is not released in this preliminary version and is planned for release after additional validation in a future IBM runtime window.
# Zenodo description — Logon Framework v3.18 ## What this is **Logon Framework v3.18** is a strict generalization of v3.17. It extends the typed kernel from a discrete/Markov presentation to **process-level objects** capable of expressing: - non-Markov (history-dependent) dynamics,- amplitude/interference as a first-class possibility (not merely hidden-state stochasticity),- endogenous locality via a coupling field **W** with rate-limited updates (finite propagation),- coarse-graining / scaling as typed maps on histories, with explicit licensing conditions for when an effective classical/Markov description is valid. v3.18 is deliberately scoped as an **expressibility / landing-site** document. It does not claim to derive physics results; it aims to provide clean typed places where those structures could live, and to state explicit admissibility/firewall constraints that keep the framework checkable. ## Files - `logon_framework_v3.18.md` — main v3.18 document. ## Relationship to v3.17 v3.17 remains the stable discrete kernel document. v3.18 does not replace it; it broadens the kernel so that v3.17 is recovered as a special case (classical process class + Markov factorization). ## Keywords logon framework; typed kernel; process objects; non-Markov dynamics; decoherence licensing; coarse-graining; emergent locality; admissibility; epistemic firewall