What question did this study set out to answer?

To formulate a microscopic effective framework that generates an emergent compact U(1) gauge theory and charged matter defects from an orientation sector without postulating primitive Maxwell fields.

August 20, 2026Open Access

A Compact Orientation-Link Gauge Sector in a Finite-Response Coherent Medium: Photons, Gauss-Law Defects, and Microscopic Closure Tests

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Authors

ASAdam Sheldrick

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Implication

Theoretical study demonstrates emergent compact electromagnetism and charged defects in a finite-response coherent medium, highlighting a microscopic mechanism for gauge field formation.

Key Points

To formulate a microscopic effective framework that generates an emergent compact U(1) gauge theory and charged matter defects from an orientation sector without postulating primitive Maxwell fields.
Derived collective gauge link variables from a normalized local orientation field using an orientation-bond Hubbard-Stratonovich transformation.
Calculated emergent photon propagation velocities and electromagnetic coupling expressions within a compact-lattice deconfined Coulomb phase.
Evaluated microscopic closure conditions using two-complex-scalar loops, perturbative ring exchanges, and Clifford-Dirac algebraic mappings.
Generated two transverse photon modes and gapped orientation defects satisfying integer Gauss-law constraints, decoupling the speed of light from the fine-structure constant.
Demonstrated that charged defect endpoints are conditionally compatible with Pauli algebra, a first-order Dirac closure, and tree-level gyromagnetic ratio g = 2.
Identified quantitative failures in weak two-complex-scalar loop and same-gap ring-exchange benchmarks, while constrained U(1) models provided valid divergence-free electric responses.

Cite This Study

Adam Sheldrick (2026) studied this question.

synapsesocial.com/papers/6a86b6208a91293e6a1cdbee https://doi.org/10.5281/zenodo.21995984

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Implication

Theoretical study demonstrates emergent compact electromagnetism and charged defects in a finite-response coherent medium, highlighting a microscopic mechanism for gauge field formation.

A Compact Orientation-Link Gauge Sector in a Finite-Response Coherent Medium: Photons, Gauss-Law Defects, and Microscopic Closure Tests

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Implication

Key Points

Cite This Study

A Compact Orientation-Link Gauge Sector in a Finite-Response Coherent Medium: Photons, Gauss-Law Defects, and Microscopic Closure Tests

Discussion

Member takes

Implication

Key Points

Cite This Study

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