An SF-Derived Spatial Basis for a Lorentzian Almost-Commutative QED Interface

This paper is archived as a speculative research work. We show how an independently established spatial geometric core derived from an SF framework supplies the geometric basis for a selected Lorentzian noncommutative-geometric QED interface. The SF output provides the spatial topology and metric data. After an explicitly selected noncanonical Lorentzian completion, we verify the globally hyperbolic, Spin, and Dirac prerequisites required by the chosen Lorentzian NCG formulation. A known finite electrodynamics factor, adopted and verified in the companion paper, is then inserted through the standard graded almost-commutative construction. The canonical total-even product contains one independently specifiable Dirac-spinor slot in each opposite-charge sector, with no additional finite flavor or generation multiplicity. The finite real structure establishes antiunitary equivalence of the finite charge representations but does not impose product-level field dependence. The factor supplies a bounded real Dirac-parameter family and one finite represented relative U(1) direction; its finite one-form and scalar sectors vanish. Conventional NCG and classical U(1) steps are stated by reference except where an SF-derived or interface-specific hypothesis must be verified. The result is an SF-supported interface construction, not a claim that Lorentzian, spinorial, gauge, mass, or quantum structures are SF ontology.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-07-17
DOI
https://doi.org/10.5281/zenodo.21421082
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
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preprint

An SF-Derived Spatial Basis for a Lorentzian Almost-Commutative QED Interface

Michael E. Labhard
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

An SF-Derived Spatial Basis for a Lorentzian Almost-Commutative QED Interface

Michael E. Labhard
preprint en

Abstract

This paper is archived as a speculative research work. We show how an independently established spatial geometric core derived from an SF framework supplies the geometric basis for a selected Lorentzian noncommutative-geometric QED interface. The SF output provides the spatial topology and metric data. After an explicitly selected noncanonical Lorentzian completion, we verify the globally hyperbolic, Spin, and Dirac prerequisites required by the chosen Lorentzian NCG formulation. A known finite electrodynamics factor, adopted and verified in the companion paper, is then inserted through the standard graded almost-commutative construction. The canonical total-even product contains one independently specifiable Dirac-spinor slot in each opposite-charge sector, with no additional finite flavor or generation multiplicity. The finite real structure establishes antiunitary equivalence of the finite charge representations but does not impose product-level field dependence. The factor supplies a bounded real Dirac-parameter family and one finite represented relative U(1) direction; its finite one-form and scalar sectors vanish. Conventional NCG and classical U(1) steps are stated by reference except where an SF-derived or interface-specific hypothesis must be verified. The result is an SF-supported interface construction, not a claim that Lorentzian, spinorial, gauge, mass, or quantum structures are SF ontology.

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