Spinor Fabric: A Framework for Emergent Spacetime

We propose a connection-first, spinor-anchored framework in which spacetime geometry and gauge fields emerge from spinor bilinears. A unified master equation governs spinor evolution, from which both metric and gauge structure are built via bilinear constitutive maps. Time and causality arise from spinor phase flow, not external assumptions. The internal spin space exceeds spacetime dimension, enabling rectangular vielbein and parity-odd geometric signatures. A 1+1D toy model with nonlinear spinor dynamics, torsionful spin connection, and driven U(1) gauge sector demonstrates stable, closed evolution: density is approximately conserved, energy growth is controlled, and emergent metric fluctuations remain finite. A 1+3D extension confirms boundedness and anisotropic spectral signatures. This framework replaces singularities with spinorial defects and predicts falsifiable observables in interferometry,birefringence, and cosmology. High-frequency spinor modes, when integrated out via heat-kernel expansion, induce Einstein–Hilbert and Yang–Mills terms. This yields realistic Planck and gauge scales, realizing gravity and gauge dynamics from spinor bilinears alone.

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-10-02
DOI
https://doi.org/10.5281/zenodo.17247633
Primary Topic
Geochemistry and Geologic Mapping
Type
article
Field-Weighted Citation Impact
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article

Spinor Fabric: A Framework for Emergent Spacetime

Zenodo (CERN European Organization for Nuclear Research)
Geochemistry and Geologic Mapping
article

Spinor Fabric: A Framework for Emergent Spacetime

article en

Abstract

We propose a connection-first, spinor-anchored framework in which spacetime geometry and gauge fields emerge from spinor bilinears. A unified master equation governs spinor evolution, from which both metric and gauge structure are built via bilinear constitutive maps. Time and causality arise from spinor phase flow, not external assumptions. The internal spin space exceeds spacetime dimension, enabling rectangular vielbein and parity-odd geometric signatures. A 1+1D toy model with nonlinear spinor dynamics, torsionful spin connection, and driven U(1) gauge sector demonstrates stable, closed evolution: density is approximately conserved, energy growth is controlled, and emergent metric fluctuations remain finite. A 1+3D extension confirms boundedness and anisotropic spectral signatures. This framework replaces singularities with spinorial defects and predicts falsifiable observables in interferometry,birefringence, and cosmology. High-frequency spinor modes, when integrated out via heat-kernel expansion, induce Einstein–Hilbert and Yang–Mills terms. This yields realistic Planck and gauge scales, realizing gravity and gauge dynamics from spinor bilinears alone.

Zenodo (CERN European Organization for Nuclear Research)
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Geochemistry and Geologic Mapping
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