Independent Quantitative Verification of the Unified Field Formula Zero-free-parameter Cross-astrophysical Radiation Correction and Falsifiable Predictions Based on Pure T‑ε Variables

Author: Feng Dejian

Independent Researcher, Founder of the Unified Theory of Matter and Energy

ORCID: 0009-0000-5793-9666

Web of Science ResearcherID: PQA-8034-2026

Date: November 2026

Abstract

This paper constructs and tests a working hypothesis derived from the axiomatic system of

the unified field theory, focusing on the coupling between gravitational spatial compression

and thermal radiative luminosity of compact objects. A space compression coefficient ε is

defined, controlled by the escape velocity of the gravitationally bound body. The core derived

radiative correction relation reads L_corr = L_0 · ε², with no free tuning parameters. We explicitly separate compatibility checks against general relativity from independent

empirical tests of new physical hypotheses. Planetary perihelion precession formulas

previously obtained within the framework are algebraically equivalent to general-relativistic

expressions and are classified only as consistency checks, not evidence for new physics. The observational verification scheme is redesigned to avoid circular inference. We adopt

directly measurable astrophysical quantities (mass M, radius R, photon flux F, distance d, gravitational redshift z) as inputs, and the model predicts surface thermodynamic

temperature T, which is then compared with spectroscopic fitting results. Sources dominated

by non-thermal emission are excluded from the primary test sample. The Sun serves as a

weak-field limit reference; PSR J0437-4715 is retained as the primary compact-object test

source. Additional qualified neutron star targets are proposed for future statistical validation. The scaling relation ΔT/T = 0.5 · Δε/ε, previously compared with primordial CMB fluctuations, is reclassified as a local steady-state self-consistency check rather than cosmological

evidence for the theory, because its derivation assumes slow, quasi-static perturbations

inconsistent with inflationary quantum fluctuations. Two independent, luminosity-free falsifiable predictions are proposed: a supplementary

gravitational time-delay correction for photons passing near compact objects, and a

characteristic spectral distortion distinct from pure gravitational redshift. These provide

separate observational channels to validate or reject the core hypothesis. All test criteria, error budgets and competing alternative hypotheses are stated clearly. This

work presents a self-consistent, falsifiable zero-free-parameter model, pending larger high- quality neutron star samples and independent observational campaigns. Keywords: unified field formula; space compression coefficient; radiative correction; neutron

star thermal emission; zero-free-parameter model; falsifiable prediction; gravitational coupling

of radiation