What question did this study set out to answer?

The research aims to understand why the effective metric satisfies the Einstein equations.

July 10, 2026Open Access

The Spectral Gravity Sub-Programme

Key Points

The research aims to understand why the effective metric satisfies the Einstein equations.
Derivation of the Einstein tensor from projective spectral entropy functional.
Extension of causal frameworks to include gravitational wave propagation.
Completion of ultraviolet conditions for the gravitational field.
Establishes a logical pathway from spectral entropy to causal coverage in gravity.
Formulates gravitational responses aligned with Einstein's principles.
Identifies open areas in gravitational field equations with matter.

Abstract

The spectral gravity sub-programme of the Cosmochrony corpus addresses a single central question: why does the effective metric g^ = 2^ satisfy the Einstein equations? Starting from the projective spectral entropy functional S_g = 12' Ag, the sub-programme derives the Einstein tensor as the infrared-dominant response of the renormalized metric variation, reformulates it as a spectral equilibrium condition, extends it causally to gravitational wave propagation, and provides its ultraviolet Born–Infeld completion. The logical chain is: \ S_[g \;\; ₆S_ c₄₇ G_ \;\; G_ = 8G₍ T_^ () \;\; causal completion \;\; BI completion. \] The sub-programme is constituted by four papers: Gravity 3. 0, Thermodynamics, Lorentz/CausalPropagation, and BornInfeld. The scope is the gravitational sector in the absence of matter; full coupled field equations G_ = 8G₍ T_ with matter in Lorentzian signature remain an open deliverable.

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