Spectral Residues, π-Weighted Gravity, and New Arithmetic–Geometric Invariants
Year: 2025
Type: article
Abstract: This paper explores a novel extension of classical gravitational functionals, including the cosmological constant, Einstein–Hilbert action, and boundary terms, by reinterpreting them as residues of spectral zeta functions. By promoting the constant π to a smooth positive field π(x), we derive π-twisted heat-kernel coefficients that introduce new scalar invariants involving (∇ln π)², □ln π, and their couplings to curvature.
Author: Parry, Dean Alan
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7085574845
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