Theoretical analysis demonstrates consistent gravitational wavefield mechanics in compact astrophysical objects, suggesting testable deviations from general relativity in black hole shadows.
We present the complete formulation of the Ontological Basic Wavefield Theory (OBWT), a flat-spacetime gravitational framework rooted in a single foundational postulate: wave-vector conservation under gravitational modulation, expressed as u^2 + v^2 = Phi c^2. Matter is described as localized wave-packet configurations of a fundamental scalar wave field, photons as delocalized excitations, and gravity as modulation of wave-field propagation by a scalar potential. The theory derives a global mass-energy relation, a scalar field equation from variational principle, an effective metric, and all five classical tests of general relativity in the weak-field limit. In the strong-field regime, OBWT predicts a black hole shadow radius b_c = 6.75 GM/c^2, approximately 30% larger than the general relativistic prediction. The framework introduces a three-tier hierarchy of coordinate, physical-ruler, and light-measured distances, as well as coordinate, background, and locally measured light speeds. The theory resolves the black hole singularity and information paradox via a propagation-freezing boundary at r_g = GM/c^2, where matter wave packets dissolve into radiation as their effective rest energy vanishes. All mathematical derivations, dimensional checks, coordinate transformations, and weak-field expansions are provided in full in the appendices. OBWT offers a parameter-free, falsifiable alternative to general relativity, with strong-field predictions testable by current and near-future observations.
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Jinlong Zhang (2026) studied this question.
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