Emergent Electrodynamics and Charge Quantisation on the Error-Correcting Vacuum

Following the derivation of the Strong Gravity scale from the [8,4,4] error-correcting tensor network, we extend the discrete lattice framework to recover the core phenomenology of Quantum Electrodynamics. Rather than inserting continuous gauge groups and arbitrary parameters by hand, we demonstrate that electrodynamics emerges as the geometric shadow of the underlying quantum error-correcting vacuum. By projecting the antisymmetric vac- uum flux into the 3D T1u vector representation of the Octahedral (Oh) group, we prove that the photon is topologically protected from acquiring a mass gap, in stark contrast to the massive spin-2 graviton. We demonstrate that physical fractional electric charges (+2/3, −1/3) natively emerge when the U(1) topological operator evaluates the broken symmetry of confined SU(3) colour defects. Furthermore, we evaluate the Pauli Z-stabilisers of the [8,4,4] code, identifying a structural correspondence to continuous U(1) gauge invariance that recontextualises charge conservation as the vacuum actively suppressing phase errors. By evaluating the geometric flux through lattice plaquettes, we verify the framework’s con- sistency with standard lattice gauge theory, confirming that the discrete topology natively preserves the Bianchi identity and Faraday’s Law. Finally, we show that the bare inverse fine-structure constant (1/α0 = 137) derives from the T(16) topological capacity of the bipartite scattering space.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-05-31
DOI
https://doi.org/10.5281/zenodo.20478677
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

Emergent Electrodynamics and Charge Quantisation on the Error-Correcting Vacuum

David Elliman
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Emergent Electrodynamics and Charge Quantisation on the Error-Correcting Vacuum

David Elliman
preprint en

Abstract

Following the derivation of the Strong Gravity scale from the [8,4,4] error-correcting tensor network, we extend the discrete lattice framework to recover the core phenomenology of Quantum Electrodynamics. Rather than inserting continuous gauge groups and arbitrary parameters by hand, we demonstrate that electrodynamics emerges as the geometric shadow of the underlying quantum error-correcting vacuum. By projecting the antisymmetric vac- uum flux into the 3D T1u vector representation of the Octahedral (Oh) group, we prove that the photon is topologically protected from acquiring a mass gap, in stark contrast to the massive spin-2 graviton. We demonstrate that physical fractional electric charges (+2/3, −1/3) natively emerge when the U(1) topological operator evaluates the broken symmetry of confined SU(3) colour defects. Furthermore, we evaluate the Pauli Z-stabilisers of the [8,4,4] code, identifying a structural correspondence to continuous U(1) gauge invariance that recontextualises charge conservation as the vacuum actively suppressing phase errors. By evaluating the geometric flux through lattice plaquettes, we verify the framework’s con- sistency with standard lattice gauge theory, confirming that the discrete topology natively preserves the Bianchi identity and Faraday’s Law. Finally, we show that the bare inverse fine-structure constant (1/α0 = 137) derives from the T(16) topological capacity of the bipartite scattering space.

Zenodo (CERN European Organization for Nuclear Research)
Catholic University of Mozambique (MZ)
Life in Land
Noncommutative and Quantum Gravity Theories
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