Nested Bubble/Gear (NBG-01) v0.1.1: Protocol Repair, Positive-Control Reclassification, and Frozen Experimental Conventions

Nested Bubble/Gear (NBG-01) v0.1.1 is a protocol-repair and experimental-freeze update to NBG-01 v0.1.0. It preserves the original publication and experimental history while correcting the interpretation and numerical treatment of Experiment 1 following an independent rehearsal and subsequent audit. The rehearsal confirmed exact predictive closure for observers O0, O1, and O2 in the frozen 64-state system, but also exposed two structural facts requiring clarification. First, predictive closure in Experiment 1 is guaranteed by the transition law: the microstate affects the next-state distribution only through the module-majority pair, making the experiment a positive-control and harness-validation test rather than a live test of emergent predictive closure. Second, the killed majority-sector transition kernels are analytically rank one. Their nonprincipal eigenvalues are therefore exactly zero, so floating-point residual eigenvalues must not be interpreted as physical or dynamical mixing modes. For this rank-one special case, v0.1.1 defines conditional mixing operationally as one surviving discrete transition and reports two mathematically natural lifetime conventions: continuous-hazard lifetime and geometric expected lifetime. At the frozen trust threshold Θ ≥ 10, both conventions produce the same classification across the original 16-point parameter grid: nine points pass trust separation and seven fail. Exact closure and composition remain satisfied throughout the grid. This update also repairs receipt custody by requiring evaluated terminal outcomes to be materialized in exported receipts, formalizes deterministic generation of derived tables and manifests, preserves all failed parameter points, and separates post-hoc diagnostic observers from frozen experimental evidence. NBG-01 v0.1.1 does not claim a new physical law or establish conclusions about spacetime, quantum mechanics, consciousness, or nature's literal ontology. Its purpose is narrower: to repair and freeze the finite experimental protocol, establish a reproducible positive-control baseline, and prepare the NBG research line for preregistered negative controls and challenge experiments in which predictive closure is not guaranteed by construction. No statement or artifact from NBG-01 v0.1.0 is silently replaced. The earlier version remains part of the permanent research record.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-21
DOI
https://doi.org/10.5281/zenodo.22882173
Primary Topic
Advanced Thermodynamics and Statistical Mechanics
Type
preprint
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Nested Bubble/Gear (NBG-01) v0.1.1: Protocol Repair, Positive-Control Reclassification, and Frozen Experimental Conventions

Michael Hughes
Zenodo (CERN European Organization for Nuclear Research)
Advanced Thermodynamics and Statistical Mechanics
preprint

Nested Bubble/Gear (NBG-01) v0.1.1: Protocol Repair, Positive-Control Reclassification, and Frozen Experimental Conventions

Michael Hughes
preprint en

Abstract

Nested Bubble/Gear (NBG-01) v0.1.1 is a protocol-repair and experimental-freeze update to NBG-01 v0.1.0. It preserves the original publication and experimental history while correcting the interpretation and numerical treatment of Experiment 1 following an independent rehearsal and subsequent audit. The rehearsal confirmed exact predictive closure for observers O0, O1, and O2 in the frozen 64-state system, but also exposed two structural facts requiring clarification. First, predictive closure in Experiment 1 is guaranteed by the transition law: the microstate affects the next-state distribution only through the module-majority pair, making the experiment a positive-control and harness-validation test rather than a live test of emergent predictive closure. Second, the killed majority-sector transition kernels are analytically rank one. Their nonprincipal eigenvalues are therefore exactly zero, so floating-point residual eigenvalues must not be interpreted as physical or dynamical mixing modes. For this rank-one special case, v0.1.1 defines conditional mixing operationally as one surviving discrete transition and reports two mathematically natural lifetime conventions: continuous-hazard lifetime and geometric expected lifetime. At the frozen trust threshold Θ ≥ 10, both conventions produce the same classification across the original 16-point parameter grid: nine points pass trust separation and seven fail. Exact closure and composition remain satisfied throughout the grid. This update also repairs receipt custody by requiring evaluated terminal outcomes to be materialized in exported receipts, formalizes deterministic generation of derived tables and manifests, preserves all failed parameter points, and separates post-hoc diagnostic observers from frozen experimental evidence. NBG-01 v0.1.1 does not claim a new physical law or establish conclusions about spacetime, quantum mechanics, consciousness, or nature's literal ontology. Its purpose is narrower: to repair and freeze the finite experimental protocol, establish a reproducible positive-control baseline, and prepare the NBG research line for preregistered negative controls and challenge experiments in which predictive closure is not guaranteed by construction. No statement or artifact from NBG-01 v0.1.0 is silently replaced. The earlier version remains part of the permanent research record.

Zenodo (CERN European Organization for Nuclear Research)
Peace, Justice and strong institutions
Advanced Thermodynamics and Statistical Mechanics
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