arXiv subjects

John. W. Moffat

Publications and source records attributed to John. W. Moffat.

3 recordsLinked to original sources

arXiv2026

Modified Gravity and the Origin of the Excess Radio Galaxy Number-Count Dipole

Recent analyses of wide-area radio-galaxy surveys have reported a statistically significant excess in the cosmic number-count dipole, with an amplitude exceeding the purely kinematic expectation of the standard $Λ$CDM model by a factor of $\sim 3$--$4$, quoted at a significance level of up to $5.4σ$. While residual observational systematics and local-structure effects cannot be definitively excluded, this result motivates the exploration of alternative physical interpretations beyond the minimal $Λ$CDM framework. We investigate whether Scalar--Tensor--Vector Gravity (STVG-MOG) can provide a consistent explanation for an enhanced large-scale anisotropic dipole without violating existing constraints from early-universe cosmology, the cosmic microwave background (CMB) dipole, galaxy dynamics, weak lensing, or the observed late-time matter power spectrum. The radio number-count dipole probes ultra-large-scale, anisotropic structure and coherent gravitational response, rather than virialized dynamics or linear growth alone. In STVG-MOG, a scale- and time-dependent effective gravitational coupling preserves standard cosmological evolution at early times and on small to intermediate scales, while amplifying gravitational response on gigaparsec scales. This scale-selective enhancement can increase the large-scale structure contribution to the radio dipole without overproducing power on smaller scales. If the observed dipole excess reflects a physical cosmological signal rather than residual systematics, STVG-MOG offers a viable and testable alternative interpretation. It is demonstrated that the radio dipole anomaly provides a novel probe of gravitational physics on the largest observable scales.

astro-ph.CO↗

arXiv2025

Holomorphic Unified Field Theory of Gravity and the Standard Model

We present a holomorphic framework in which gravity, gauge interactions, and their couplings to charges and currents emerge from a single geometric action on a four-complex-dimensional manifold. The Hermitian metric yields on the real slice $y^μ= 0$, a real symmetric metric $g_{(μν)}$ giving the vacuum Einstein equations, and an antisymmetric part $g_{[μν]}$ that reproduces Maxwell's equations with sources. A single holomorphic gauge connection for $G_{\text{GUT}}$, such as $SU(5)$ or $SO(10)$, encodes all gauge sectors; its Bianchi identities give homogeneous Yang--Mills equations, and variation imposes $\nabla_μF^{μν}_A = J^ν_A$. Chiral fermions arise from a holomorphic Dirac Lagrangian and couple minimally to all gauge fields, reproducing the Standard Model spectrum. Anomaly cancellation follows from holomorphic gauge invariance. A holomorphic adjoint Higgs breaks $G_{\text{GUT}} \rightarrow SU(3) \times SU(2) \times U(1)$ with unified coupling, and a second Higgs breaks electroweak symmetry, generating $W^\pm$, $Z$, and fermion masses. Below the unification scale, couplings run by standard renormalization-group flow. This construction unifies Einstein gravity, Yang--Mills theory, electromagnetism, and chiral fermions into a single classical geometric framework, and admits quantization via a holomorphic path integral that reproduces standard Feynman rules.

physics.gen-ph↗

arXiv2025

Embedding $\mathrm{SL}(2,\mathbb{C})/\mathbb{Z}_2$ in Complex Riemannian Geometry

We present a unified framework demonstrating how the spinor complex Lorentz group SL(2,C)/Z\_2 is realized as a canonical subgroup within a four-dimensional complex Riemannian manifold. Building on the complex, holomorphic metric extension and contour-integration regularization of classical singularities, we show that promoting the metric to a complex-valued tensor on a complex 4-fold enlarges the frame bundle to SO(4,C). Its spin double cover factorizes as a product of two independent SL(2,C) factors modulo a shared Z\_2, and selecting one Weyl factor recovers the familiar SL(2,C)/Z\_2 spin cover of the Lorentz group. By explicitly extending metric components and connection forms into the complex domain, using contour deformations to avoid coordinate-singular loci, we exhibit how left- and right-handed Weyl spinors transform under separate SL(2,C) factors, and how modding out a common Z\_2 reproduces the standard spin-Lorentz structure. In particular, the same contour-integration techniques that yield singularity-free Schwarzschild and Kerr solutions via a holomorphic radial coordinate also furnish a holomorphic spin bundle in which chiral spin representations live without imposing exotic matter or modifying the Einstein equations. This embedding clarifies the geometric origin of chirality, enables holomorphic factorization of curvature and connection forms, and provides a foundation for constructing holomorphic field theories and complexified gravity backgrounds. Our results indicate that extending the Lorentz group into a complex Riemannian setting not only recovers SL(2,C)/Z\_2 in a canonical fashion, but also establishes a geometric arena for studying chiral fermions, Bogomol'nyi-Prasad-Sommerfield (BPS) instantons, and potential quantum-gravity corrections within a rigorously defined complex manifold.

hep-th↗