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Alpha from Quantum Intrinsic Wormholes: A First-Principles Derivation of the Fine-Structure Constant in QIW–EC

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Auteur principal: Wei, Zheng
Format: Recurso digital
Langue:anglais
Publié: Zenodo 2025
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fine-structure constant, alpha_EM, QIW–EC, Einstein–Cartan gravity, emergent gauge fields, loop statistics, combinatorial constants, stiffness ratios, coarse-graining, helicity modulus, plaquette expansion, lattice gauge theory, nonlocal adjacency, intrinsic wormholes, spectral dimension, renormalization group, vacuum-energy ledger, cosmological constant, electroweak mixing, SU(2) loop share, abelianization, defrosting phase, first-principles constants, falsifiability
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_version_ 1866901968420601856
author Wei, Zheng
author_facet Wei, Zheng
contents <p>This note presents a first-principles derivation of the fine-structure constant within the Quantum Intrinsic Wormhole–Einstein–Cartan (QIW–EC) framework. Starting from the microscopic action, we show that the infrared electromagnetic coupling can be written in closed, dimensionless form as a function of: (i) purely combinatorial loop densities on the cellular complex, (ii) phase-coherence factors constrained by the vacuum-energy ledger, and (iii) stiffness ratios extracted from the same microscopic action that yields the Einstein–Cartan (EC) sector. The micro cutoff is eliminated via EC matching, so the final expression contains no independent continuous parameters.</p> <p>Beyond the compact formula, the paper emphasizes testability. Two pedagogical appendices provide executable protocols—loop counting rules, helicity-modulus (twist) extractions, and ensemble measurements—so that the constants entering the closed form can be obtained analytically on simple lattices or numerically on random Lorentzian complexes. We also bound the SU(2) loop share after electroweak “defrosting,” show how its contribution is parametrically suppressed in the IR, and give a small-parameter control that limits its impact on <span><span>αEM\alpha_{\rm EM}</span><span><span><span><span>α</span><span><span><span><span><span><span><span>EM</span></span></span></span><span></span></span></span></span></span></span></span></span>.</p> <p><strong>Highlights</strong></p> <ul> <li> <p>Closed, dimensionless expression for <span><span>αEM\alpha_{\rm EM}</span><span><span><span><span>α</span><span><span><span><span><span><span><span>EM</span></span></span></span><span></span></span></span></span></span></span></span></span> from QIW–EC without introducing new continuous parameters.</p> </li> <li> <p>EC normalization removes <span><span>\rhowhℓ⋆2\rhowh \ell_\star^2</span><span><span><span><span>\rhowh</span></span><span>ℓ<span><span><span><span><span><span>⋆</span></span><span><span>2</span></span></span><span></span></span></span></span></span></span></span></span> and ties gauge and gravity sectors.</p> </li> <li> <p>Vacuum-energy ledger enforces <span><span>e−σ2/2 ⁣≈ ⁣1e^{-\sigma^2/2}\!\approx\!1</span><span><span><span><span>e</span><span><span><span><span><span><span>−<span>σ</span><span>2</span>/2</span></span></span></span></span></span></span><span>≈</span></span><span><span>1</span></span></span></span> in the IR, simplifying the abelian block.</p> </li> <li> <p>Operational appendices turn the derivation into a verifiable program (counting + Monte Carlo).</p> </li> <li> <p>Falsifiability and error-propagation roadmap for forecasting precision.</p> </li> </ul> <p><strong>Version note</strong>: This release adopts the MSF convention <span><span>tmin⁡=ℓ⋆t_{\min}=\ell_\star</span><span><span><span><span>t</span><span><span><span><span><span><span><span><span>m</span><span>i</span><span>n</span></span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>ℓ<span><span><span><span><span><span>⋆</span></span></span><span></span></span></span></span></span></span></span></span> with <span><span>ℓ⋆=ℓP\ell_\star=\ell_P</span><span><span><span>ℓ<span><span><span><span><span><span>⋆</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>ℓ<span><span><span><span><span><span>P</span></span></span><span></span></span></span></span></span></span></span></span> in the IR.</p> <p><strong>Related resource (core axioms and normalizations)</strong>: Concept DOI for the QIW–EC core manuscript: 10.5281/zenodo.16151613.</p>
format Recurso digital
id zenodo_https___doi_org_10_5281_zenodo_16881232
institution Zenodo
language eng
publishDate 2025
publisher Zenodo
record_format zenodo
spellingShingle Alpha from Quantum Intrinsic Wormholes: A First-Principles Derivation of the Fine-Structure Constant in QIW–EC
Wei, Zheng
fine-structure constant, alpha_EM, QIW–EC, Einstein–Cartan gravity, emergent gauge fields, loop statistics, combinatorial constants, stiffness ratios, coarse-graining, helicity modulus, plaquette expansion, lattice gauge theory, nonlocal adjacency, intrinsic wormholes, spectral dimension, renormalization group, vacuum-energy ledger, cosmological constant, electroweak mixing, SU(2) loop share, abelianization, defrosting phase, first-principles constants, falsifiability
<p>This note presents a first-principles derivation of the fine-structure constant within the Quantum Intrinsic Wormhole–Einstein–Cartan (QIW–EC) framework. Starting from the microscopic action, we show that the infrared electromagnetic coupling can be written in closed, dimensionless form as a function of: (i) purely combinatorial loop densities on the cellular complex, (ii) phase-coherence factors constrained by the vacuum-energy ledger, and (iii) stiffness ratios extracted from the same microscopic action that yields the Einstein–Cartan (EC) sector. The micro cutoff is eliminated via EC matching, so the final expression contains no independent continuous parameters.</p> <p>Beyond the compact formula, the paper emphasizes testability. Two pedagogical appendices provide executable protocols—loop counting rules, helicity-modulus (twist) extractions, and ensemble measurements—so that the constants entering the closed form can be obtained analytically on simple lattices or numerically on random Lorentzian complexes. We also bound the SU(2) loop share after electroweak “defrosting,” show how its contribution is parametrically suppressed in the IR, and give a small-parameter control that limits its impact on <span><span>αEM\alpha_{\rm EM}</span><span><span><span><span>α</span><span><span><span><span><span><span><span>EM</span></span></span></span><span></span></span></span></span></span></span></span></span>.</p> <p><strong>Highlights</strong></p> <ul> <li> <p>Closed, dimensionless expression for <span><span>αEM\alpha_{\rm EM}</span><span><span><span><span>α</span><span><span><span><span><span><span><span>EM</span></span></span></span><span></span></span></span></span></span></span></span></span> from QIW–EC without introducing new continuous parameters.</p> </li> <li> <p>EC normalization removes <span><span>\rhowhℓ⋆2\rhowh \ell_\star^2</span><span><span><span><span>\rhowh</span></span><span>ℓ<span><span><span><span><span><span>⋆</span></span><span><span>2</span></span></span><span></span></span></span></span></span></span></span></span> and ties gauge and gravity sectors.</p> </li> <li> <p>Vacuum-energy ledger enforces <span><span>e−σ2/2 ⁣≈ ⁣1e^{-\sigma^2/2}\!\approx\!1</span><span><span><span><span>e</span><span><span><span><span><span><span>−<span>σ</span><span>2</span>/2</span></span></span></span></span></span></span><span>≈</span></span><span><span>1</span></span></span></span> in the IR, simplifying the abelian block.</p> </li> <li> <p>Operational appendices turn the derivation into a verifiable program (counting + Monte Carlo).</p> </li> <li> <p>Falsifiability and error-propagation roadmap for forecasting precision.</p> </li> </ul> <p><strong>Version note</strong>: This release adopts the MSF convention <span><span>tmin⁡=ℓ⋆t_{\min}=\ell_\star</span><span><span><span><span>t</span><span><span><span><span><span><span><span><span>m</span><span>i</span><span>n</span></span></span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>ℓ<span><span><span><span><span><span>⋆</span></span></span><span></span></span></span></span></span></span></span></span> with <span><span>ℓ⋆=ℓP\ell_\star=\ell_P</span><span><span><span>ℓ<span><span><span><span><span><span>⋆</span></span></span><span></span></span></span></span></span><span>=</span></span><span><span>ℓ<span><span><span><span><span><span>P</span></span></span><span></span></span></span></span></span></span></span></span> in the IR.</p> <p><strong>Related resource (core axioms and normalizations)</strong>: Concept DOI for the QIW–EC core manuscript: 10.5281/zenodo.16151613.</p>
title Alpha from Quantum Intrinsic Wormholes: A First-Principles Derivation of the Fine-Structure Constant in QIW–EC
topic fine-structure constant, alpha_EM, QIW–EC, Einstein–Cartan gravity, emergent gauge fields, loop statistics, combinatorial constants, stiffness ratios, coarse-graining, helicity modulus, plaquette expansion, lattice gauge theory, nonlocal adjacency, intrinsic wormholes, spectral dimension, renormalization group, vacuum-energy ledger, cosmological constant, electroweak mixing, SU(2) loop share, abelianization, defrosting phase, first-principles constants, falsifiability
url https://doi.org/10.5281/zenodo.16881232

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