Reproducibility package for Complex-Fractional Recurrence and Aharonov-Type Type III Hybrid Disappearance

Abstract

This repository provides the reproducibility package for the theoretical and computational study of complex-fractional quantum recurrence, Aharonov-type weak values, Kirkwood–Dirac (KD) quasiprobabilities, and Type III hybrid disappearance. The framework is organized as a sequence of four levels: Q1 — a globally Hermitian projected quantum system;Q2 — an effective complex-fractional memory generated by a discrete-scale-invariant hidden spectrum;Q3 — an autonomous three-sector PP-CC-SS Hamiltonian in which the logarithmic scale phase is generated without externally scheduled recurrence times;Q4 — a conditioned-observation layer based on fixed postselection, projector weak values, and KD quasiprobabilities. Version 1.2 update Version 1.2 adds a direct numerical test of the Q3 → Q4 connection. The autonomous Q3 trajectories are used without inserting an externally prescribed phase into the conditioned readout. A single fixed postselection is applied to the same Hermitian Q3 dynamics, and the logarithmic scale parameter bb is independently recovered from weak-value and KD observables. For input b=3b=3–7, the scale parameter recovered from the conditioned observables closely follows the value previously recovered from the autonomous Q3 response: bQ3≃bweak≃bKD.b_{\mathrm{Q3}} \simeq b_{\mathrm{weak}} \simeq b_{\mathrm{KD}}. Across the five tested values, the mean absolute mismatch relative to bQ3b_{\mathrm{Q3}} is approximately 1.18% for the weak-value estimator and 0.59% for the KD estimator. The correlations with bQ3b_{\mathrm{Q3}} exceed 0.9998. The analysis also yields an important negative result. Although the autonomous Q3 dynamics transmits the same discrete-scale phase into Q4 weak/KD observables, a single fixed postselection does not by itself produce recurrent complete weak-value cancellation. Thus, the supported conclusion is that Q1→Q2→Q3→Q4Q1 \rightarrow Q2 \rightarrow Q3 \rightarrow Q4 establishes autonomous scale-phase transmission into conditioned observables, whereas recurrent complete Type III disappearance requires an additional postselection or symmetry condition. The repository also retains the earlier Type III sufficient-condition calculations in which genuine Born-probability relocation and weak-value cancellation are treated as distinct components of the disappearance vector D(t)=(Drel,Dcan).\mathcal{D}(t)=\left(D_{\mathrm{rel}},D_{\mathrm{can}}\right). The package includes: Python source code for all principal calculations; autonomous Q3 → Q4 weak-value and KD reanalysis; numerical CSV outputs; multi-bb recovery results; robustness analyses for dephasing, postselection error, unequal P/CP/C relocation, and Hamiltonian detuning; combined-error Monte Carlo simulations; representative figures; parameter and variable dictionaries; reproducibility maps and method notes; software requirements, execution logs, and SHA256 checksums. All main calculations can be reproduced using the supplied run_all.py script. Monte Carlo calculations use the fixed random seed 20260825. Negative weak values and negative KD quasiprobabilities are not interpreted as negative Born probabilities, negative particle numbers, or disappearance of energy from physical spacetime. They are treated as conditioned or quasiprobabilistic quantum contributions that are distinct from the actual location of Born-probability weight. Creator: Masanobu KudoORCID: 0009-0007-3014-6667 Related records:Previous Type III reproducibility record: https://doi.org/10.5281/zenodo.22110544Companion autonomous-Q3 reproducibility record: https://doi.org/10.5281/zenodo.22510100 Version: 1.2