Parameter Reduction and Operational Definition of Quantum Gravity in Finite Reversible Closure - Paper 19

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contents <h1>Parameter Reduction and Operational Definition of Quantum Gravity in Finite Reversible Closure - Paper 19</h1> <p> </p> <h2>ABSTRACT </h2> <p>Paper 18 derived a curvature-loading response law from gauge-invariant holonomy statistics and recurrence content without assuming background geometry.  Paper 19 completes parameter reduction for that response.</p> <p>Primitive scales (lp, tp) and the minimal non-gauge-removable relational update phase determine an action-per-tick scale S0.  Response coefficients are defined as Kubo-type functionals of the microscopic unitary update.  All dimensional constants reduce to primitive scales and update-spectrum data.</p> <p>Quantum Gravity is defined operationally as the parameter-closed holonomy–occupation response of finite reversible closure dynamics.  No independent gravitational constant is inserted.</p> <h2> </h2> <h2>INTRODUCTION </h2> <p>The Finite Reversible Closure (FRC) programme derives matter, gauge structure and curvature response from strictly local, finite-dimensional reversible update.</p> <p>Paper 17 defined the density thresholds at which the dilute composite regime fails and curvature loading becomes dominant. <br>Paper 18 derived a graph-local curvature response functional and showed that General Relativity emerges as an infrared geometric compression of that response.</p> <p>Paper 19 addresses the remaining structural question;</p> <blockquote> <p>Can all dimensional constants in the curvature response be reduced to primitive scales and microscopic update data?</p> </blockquote> <p>We show that;-</p> <ul> <li> <p>A minimal non-gauge-removable eigenphase in the relational update spectrum defines an action-per-tick scale;</p> </li> <li> <p>Energy density maps directly to occupation density through this scale;</p> </li> <li> <p>Response coefficients are determined as update-generated correlator functionals and</p> </li> <li> <p>The effective gravitational coupling emerges dimensionally from these quantities.</p> </li> </ul> <p>This closes the parameter structure of the programme.</p>
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spellingShingle Parameter Reduction and Operational Definition of Quantum Gravity in Finite Reversible Closure - Paper 19
Bloggs, Joe
Finite Reversible Closure
Parameter Reduction
Quantum Gravity Definition
Holonomy–Occupation Response
Emergent Gravitational Coupling
Minimal Relational Phase
Action Per Tick
Update Spectrum
Kubo Response Functional
Primitive Scales
Infrared Curvature Response
Bounded Holonomy
Graph-Local Curvature
Emergent Geometry
Quantum Gravity Framework
<h1>Parameter Reduction and Operational Definition of Quantum Gravity in Finite Reversible Closure - Paper 19</h1> <p> </p> <h2>ABSTRACT </h2> <p>Paper 18 derived a curvature-loading response law from gauge-invariant holonomy statistics and recurrence content without assuming background geometry.  Paper 19 completes parameter reduction for that response.</p> <p>Primitive scales (lp, tp) and the minimal non-gauge-removable relational update phase determine an action-per-tick scale S0.  Response coefficients are defined as Kubo-type functionals of the microscopic unitary update.  All dimensional constants reduce to primitive scales and update-spectrum data.</p> <p>Quantum Gravity is defined operationally as the parameter-closed holonomy–occupation response of finite reversible closure dynamics.  No independent gravitational constant is inserted.</p> <h2> </h2> <h2>INTRODUCTION </h2> <p>The Finite Reversible Closure (FRC) programme derives matter, gauge structure and curvature response from strictly local, finite-dimensional reversible update.</p> <p>Paper 17 defined the density thresholds at which the dilute composite regime fails and curvature loading becomes dominant. <br>Paper 18 derived a graph-local curvature response functional and showed that General Relativity emerges as an infrared geometric compression of that response.</p> <p>Paper 19 addresses the remaining structural question;</p> <blockquote> <p>Can all dimensional constants in the curvature response be reduced to primitive scales and microscopic update data?</p> </blockquote> <p>We show that;-</p> <ul> <li> <p>A minimal non-gauge-removable eigenphase in the relational update spectrum defines an action-per-tick scale;</p> </li> <li> <p>Energy density maps directly to occupation density through this scale;</p> </li> <li> <p>Response coefficients are determined as update-generated correlator functionals and</p> </li> <li> <p>The effective gravitational coupling emerges dimensionally from these quantities.</p> </li> </ul> <p>This closes the parameter structure of the programme.</p>
title Parameter Reduction and Operational Definition of Quantum Gravity in Finite Reversible Closure - Paper 19
topic Finite Reversible Closure
Parameter Reduction
Quantum Gravity Definition
Holonomy–Occupation Response
Emergent Gravitational Coupling
Minimal Relational Phase
Action Per Tick
Update Spectrum
Kubo Response Functional
Primitive Scales
Infrared Curvature Response
Bounded Holonomy
Graph-Local Curvature
Emergent Geometry
Quantum Gravity Framework
url https://doi.org/10.5281/zenodo.18836095