On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory

2025/10/06 by J. W. Moffat, E. J. Thompson, Moffat, J. W. +1 · 1 voice · 4 citations
Physics and Astronomy · #FOS: Physical sciences #General Physics (physics.gen-ph) #physics.gen-ph

paper · pdf · doi:10.48550/arxiv.2510.06282

arxiv published 2025/10/06 · arxiv updated 2026/01/24

Abstract

We present the invariant structure of a Holomorphic Unified Field Theory in which gravity and gauge interactions arise from a single geometric framework. The theory is formulated using a product principal bundle, with one connection, and curvature equipped with a Hermitian field on a complexification of spacetime. From a single Diff(M)× G-invariant action, variation yields the Einstein and Yang-Mills equations together with their paired Bianchi identities. A compatibility condition is implemented either definitionally or through an auxiliary penalty functional. It enforces that the antisymmetric part of our Hermitian field is the gauge field's exact curvature on the real slice.

Citations

• On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
• On the Complexified Spacetime Manifold Mapping of AdS to dS
• On the Standard Model Mass Spectrum and Interactions In the Holomorphic Unified Field Theory
• Finite Nonlocal Holomorphic Unified Quantum Field Theory
• On Recent measurements of Toponium Threshold Enhancement in Entire-Function-Regulated Nonlocal Quantum Field Theory
• Holomorphic Unified Field Theory of Gravity and the Standard Model
• Complex Riemannian Spacetime, Removal of Black Hole Singularities And Black Hole Paradoxes
• Complex Riemannian spacetime and singularity-free black holes and cosmology
• The Anthropic Landscape of String Theory
• The world as a hologram
• Anomalous Ward Identities in Spinor Field Theories
• Conservation of Isotopic Spin and Isotopic Gauge Invariance

Cited by

• \mathbb Z₂-Stable Dark Matter via Broken SU(5) Gauge Bosons
• On Gauge-Invariant Entire-Function Regulators and UV Finiteness in NonLocal Quantum Field Theory
• On the Complexified Spacetime Manifold Mapping of AdS to dS
• On the Standard Model Mass Spectrum and Interactions In the Holomorphic Unified Field Theory
• On Recent measurements of Toponium Threshold Enhancement in Entire-Function-Regulated Nonlocal Quantum Field Theory
• De Sitter cores from nonlocal quantum field theories

Discussions

• J. W. Moffat, E. J. Thompson: On the Invariant and Geometric Structure of the Holomorphic Unified Field Theory https://arxiv.org/abs/2510.06282 https://arxiv.org/pdf/2510.06282 https://arxiv.org/html/ [bsky, 0 points, 0 comments]

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