Artian A1 Geometric-Holonomy Reference-Switch Theorem: A Prospective Berry-Carrier Test of the QTT Two-Clock Projection

A geometric phase can verify a loop without being mistaken for the clock effect under test. This paper isolates a clean experimental question in geometric quantum mechanics: can the same completed holonomy be read through two physically distinct terminal-reference architectures without confusing ordinary carrier geometry, calibration, or passive propagation with a new clock projection? For an adiabatic spin-\(\tfrac12\) loop, the ordinary Berry carrier is \(\gamma_{\rm geo}=-\frac{\Omega}{2}.\) That relation is retained as a shared geometry check. It is not assigned a direct \(\cos(\pi/8)\) deficit. The paper shows why the raw ratio \(\frac{\widehat\gamma_{\rm geo}}{-\Omega/2}\) has the target \(1\) for both ordinary quantum mechanics and the registered QTT A1 readout statement. The proposed discriminating object is instead a sealed four-history, first-phasor amplitude ratio: \[ \boxed{ R_{\rm geo,clk} = \frac{1}{\mathcal N_{\times}^{\rm ord}} \sqrt{ \frac{D_{\tau T}D_{T\tau}} {D_{\tau\tau}D_{TT}} }, \qquad D_{ab}=\sqrt{\left|Z_{ab}(+\Omega)Z_{ab}(-\Omega)\right|}. } \] Here \(Z_{ab}\) is the fitted first complex fringe phasor and \(\mathcal N_{\times}^{\rm ord}\) is a target-blind, independently certified ordinary cross-history map. The frozen alternatives are \[ H_{\rm ordinary}:R_{\rm geo,clk}=1, \qquad H_{\rm QTT\text{-}A1}:R_{\rm geo,clk}=\cos\!\left(\frac{\pi}{8}\right). \] The paper audits the historical neutron-spin and optical-fiber geometric-phase records. They establish useful holonomy carriers but do not contain the physical crossed \(T/\tau\) terminal histories, target-blind transfer map, raw four phasors, or joint covariance needed for this statistic. No archival QTT confirmation is claimed. The resulting protocol is prospective and falsifiable: a qualified result compatible with one fixed target while excluding the other has a predeclared meaning; any topology, transfer, carrier, covariance, target-contamination, or power failure is ineligible for a theory verdict. The recommended first implementation is a polarized-neutron spin-echo or interferometric platform with a static helical magnetic-field loop. Its spin-\(\tfrac12\) carrier, field-defined solid angle, and winding reversal provide an independently auditable geometry layer while the terminal-reference switch is tested separately. The fixed separation \[ 1-\cos\!\left(\frac{\pi}{8}\right) =0.0761204674887133\ldots \] requires \(\sigma(R_{\rm geo,clk})\leq0.0152241\) for a bare five-standard- deviation distinction; the laboratory design target is \(0.005\). Status: PASS_GEOMETRIC_CARRIER_HAS_INDEPENDENT_LOOP_GEOMETRY PASS_SAME_PLATFORM_BERRY_REFERENCE_SWITCH_IS_BOOK_NATIVE ARCHIVE_INELIGIBLE_NO_CROSSED_REFERENCE_HISTORIES PROSPECTIVE_TEST_READY Concept DOI: 10.5281/zenodo.21673340 Main book anchor: Quantum Traction Theory: Main Book v10.01, especially PDF pp. 159--172 and 889--892. Website: quantumtraction.org | Two Universes: time | Lexicon | Observatory | Corpus Tree Included files: PDF paper, Version 1.0 Complete reconstruction ZIP with LaTeX source, laboratory certificates, archival audit, synthetic cancellation fixture, verification scripts, render audit, and SHA-256 manifest Version 1.1: operation qualification and retained observations The numerical targets, ratio orientation, decision regions and historical seals are unchanged. A 22.5-degree or 45-degree component is no longer excluded by its angle alone: its physical transfer must be independently established. Common-operation cancellation and signal-preserving calibration are proved; both hypotheses must remain identifiable. Every acquired record is retained. After authorized unblinding, QTT-like, ordinary-like and unexpected outcomes are reported, including observations that do not qualify for a theory verdict. This is a prospective amendment, not a retrospective resealing of data. Clock, ruler and signal-recovery qualification. Both registered predictions are constructed at the raw detector with explicit proper-time, coordinate-time, worldline, ruler and synchronization conventions. Each relativistic effect is counted once. Independently calibrated corrections carry their uncertainties through the common comparison; the tested rows cannot train a normalization that forces either answer. Blind recovery is required separately for both alternatives at every predeclared operating setting. The inherited targets and decision rules remain fixed. The included design study makes sensitivity explicit: for the Two-Test Gram classifier, a total ratio uncertainty of 0.0013 gives approximately 88.9% QTT-branch and 94.1% ordinary-branch power under the stated ideal model. These are conditional detection probabilities, not probabilities that a theory is true, and each instrument retains its own classifier. The complete apparatus packet must be sealed before acquisition and target access; historical campaign rules remain preserved. Reconstruction entry point. Start with current/CURRENT_RELATIVISTIC_EXECUTION.md in the ZIP. The shared execution contract refers once to the development filename CURRENT_EXECUTION_RC.md; that reference means CURRENT_RELATIVISTIC_EXECUTION.md in this release. The packaged README names the correct file. This navigation correction does not change the deposited files, scientific requirements or historical seals.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-10-06
DOI
https://doi.org/10.5281/zenodo.23184460
Primary Topic
Quantum Mechanics and Applications
Type
preprint
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preprint

Artian A1 Geometric-Holonomy Reference-Switch Theorem: A Prospective Berry-Carrier Test of the QTT Two-Clock Projection

Attar Ali
Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
preprint

Artian A1 Geometric-Holonomy Reference-Switch Theorem: A Prospective Berry-Carrier Test of the QTT Two-Clock Projection

Attar Ali
preprint en

Abstract

A geometric phase can verify a loop without being mistaken for the clock effect under test. This paper isolates a clean experimental question in geometric quantum mechanics: can the same completed holonomy be read through two physically distinct terminal-reference architectures without confusing ordinary carrier geometry, calibration, or passive propagation with a new clock projection? For an adiabatic spin-\(\tfrac12\) loop, the ordinary Berry carrier is \(\gamma_{\rm geo}=-\frac{\Omega}{2}.\) That relation is retained as a shared geometry check. It is not assigned a direct \(\cos(\pi/8)\) deficit. The paper shows why the raw ratio \(\frac{\widehat\gamma_{\rm geo}}{-\Omega/2}\) has the target \(1\) for both ordinary quantum mechanics and the registered QTT A1 readout statement. The proposed discriminating object is instead a sealed four-history, first-phasor amplitude ratio: \[ \boxed{ R_{\rm geo,clk} = \frac{1}{\mathcal N_{\times}^{\rm ord}} \sqrt{ \frac{D_{\tau T}D_{T\tau}} {D_{\tau\tau}D_{TT}} }, \qquad D_{ab}=\sqrt{\left|Z_{ab}(+\Omega)Z_{ab}(-\Omega)\right|}. } \] Here \(Z_{ab}\) is the fitted first complex fringe phasor and \(\mathcal N_{\times}^{\rm ord}\) is a target-blind, independently certified ordinary cross-history map. The frozen alternatives are \[ H_{\rm ordinary}:R_{\rm geo,clk}=1, \qquad H_{\rm QTT\text{-}A1}:R_{\rm geo,clk}=\cos\!\left(\frac{\pi}{8}\right). \] The paper audits the historical neutron-spin and optical-fiber geometric-phase records. They establish useful holonomy carriers but do not contain the physical crossed \(T/\tau\) terminal histories, target-blind transfer map, raw four phasors, or joint covariance needed for this statistic. No archival QTT confirmation is claimed. The resulting protocol is prospective and falsifiable: a qualified result compatible with one fixed target while excluding the other has a predeclared meaning; any topology, transfer, carrier, covariance, target-contamination, or power failure is ineligible for a theory verdict. The recommended first implementation is a polarized-neutron spin-echo or interferometric platform with a static helical magnetic-field loop. Its spin-\(\tfrac12\) carrier, field-defined solid angle, and winding reversal provide an independently auditable geometry layer while the terminal-reference switch is tested separately. The fixed separation \[ 1-\cos\!\left(\frac{\pi}{8}\right) =0.0761204674887133\ldots \] requires \(\sigma(R_{\rm geo,clk})\leq0.0152241\) for a bare five-standard- deviation distinction; the laboratory design target is \(0.005\). Status: PASS_GEOMETRIC_CARRIER_HAS_INDEPENDENT_LOOP_GEOMETRY PASS_SAME_PLATFORM_BERRY_REFERENCE_SWITCH_IS_BOOK_NATIVE ARCHIVE_INELIGIBLE_NO_CROSSED_REFERENCE_HISTORIES PROSPECTIVE_TEST_READY Concept DOI: 10.5281/zenodo.21673340 Main book anchor: Quantum Traction Theory: Main Book v10.01, especially PDF pp. 159--172 and 889--892. Website: quantumtraction.org | Two Universes: time | Lexicon | Observatory | Corpus Tree Included files: PDF paper, Version 1.0 Complete reconstruction ZIP with LaTeX source, laboratory certificates, archival audit, synthetic cancellation fixture, verification scripts, render audit, and SHA-256 manifest Version 1.1: operation qualification and retained observations The numerical targets, ratio orientation, decision regions and historical seals are unchanged. A 22.5-degree or 45-degree component is no longer excluded by its angle alone: its physical transfer must be independently established. Common-operation cancellation and signal-preserving calibration are proved; both hypotheses must remain identifiable. Every acquired record is retained. After authorized unblinding, QTT-like, ordinary-like and unexpected outcomes are reported, including observations that do not qualify for a theory verdict. This is a prospective amendment, not a retrospective resealing of data. Clock, ruler and signal-recovery qualification. Both registered predictions are constructed at the raw detector with explicit proper-time, coordinate-time, worldline, ruler and synchronization conventions. Each relativistic effect is counted once. Independently calibrated corrections carry their uncertainties through the common comparison; the tested rows cannot train a normalization that forces either answer. Blind recovery is required separately for both alternatives at every predeclared operating setting. The inherited targets and decision rules remain fixed. The included design study makes sensitivity explicit: for the Two-Test Gram classifier, a total ratio uncertainty of 0.0013 gives approximately 88.9% QTT-branch and 94.1% ordinary-branch power under the stated ideal model. These are conditional detection probabilities, not probabilities that a theory is true, and each instrument retains its own classifier. The complete apparatus packet must be sealed before acquisition and target access; historical campaign rules remain preserved. Reconstruction entry point. Start with current/CURRENT_RELATIVISTIC_EXECUTION.md in the ZIP. The shared execution contract refers once to the development filename CURRENT_EXECUTION_RC.md; that reference means CURRENT_RELATIVISTIC_EXECUTION.md in this release. The packaged README names the correct file. This navigation correction does not change the deposited files, scientific requirements or historical seals.

Zenodo (CERN European Organization for Nuclear Research)
Quantum Mechanics and Applications
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