General Relativity & Quantum Cosmology (Physics)
- Solar system and laboratory tests of the spectral action scale
We derive the observational consequences of the spectral action \(S = \mathrm{Tr}\,f(D^2/\Lambda^2)\) for weak-field gravity, using the one-loop form factors computed with the full Standard Model content. The linearized field equations yiel…
- The predictive content of Spectral Causal Theory
We catalog the predictions of Spectral Causal Theory (SCT), a one-loop gravitational effective field theory derived from the spectral action \(S = \operatorname{Tr}(f(D^2/\Lambda^2))\) of a noncommutative spectral triple encoding the Standa…
- Second-law check through the inner Cauchy horizon of regular black holes with nonlocal fakeon-regulated mass inflation
The classical inner Cauchy horizon of a regular black hole develops exponential mass inflation under generic perturbations. The recently proposed fakeon Pauli-Villars regulator from the spectral causal theory (SCT) - a one-loop effective gr…
- Non-perturbative spectral gravity measure in the Hilbert-Schmidt Gaussian completion: pro-torsor structure and the obstruction to canonical expectations
We construct rigorous non-perturbative sectorial measures for the spectral action on Dirac operators with compact resolvent within the Hilbert-Schmidt Gaussian completion framework and classify the global obstruction to assembling them into…
- A de Sitter region at every black-hole core: discrete causal-set evidence and a canonical regular continuum metric
We close the Schwarzschild central-singularity problem within a nonlocal quadratic-gravity (NQG) model with an entire-function spin-2 form factor and a fakeon prescription [Anselmi2018, Anselmi2019] at its first positive real zero, instanti…