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.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-14
DOI
https://doi.org/10.5281/zenodo.22754366
Primary Topic
International Science and Diplomacy
Type
preprint
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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)
International Science and Diplomacy
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.

Zenodo (CERN European Organization for Nuclear Research)
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