From thermogravity to thermocosmology with a running non-conservation scale
Abstract
Thermogravity offers a novel approach to cosmic acceleration, deriving trace-free gravitational equations and matter non-conservation from thermodynamic processes in spacetime. We extend this framework towards thermocosmology by introducing a running non-conservation scale L2(H), while restricting non-conservation to cold dark matter. We investigate two prescriptions, namely a Hubble-proportional rate and an inverse-Hubble running model, deriving their cosmological dynamics and effective geometric dark-energy description. The first admits an exact analytical solution and is related to quadratic running-vacuum cosmologies, while the second approaches standard matter dilution at early times and allows reversals in the direction of energy exchange. Interestingly, the reconstructed geometric dark energy can exhibit quintessence-like and phantom-like behavior, including smooth crossings of the phantom divide, without introducing a phantom field or superacceleration. A unified dynamical-system analysis reveals distinct matter-era critical configurations and a continuous family of de Sitter solutions that are transversely attracting under suitable conditions. Confronting both models with Pantheon+ Type Ia supernovae, cosmic chronometers, and DESI DR2 baryon acoustic oscillations, we find a mild preference for positive present-day matter non-conservation. The Akaike information criterion slightly favors the thermogravity scenarios, whereas the Bayesian information criterion favors the simpler ΛCDM model. Thus, running thermocosmology provides a viable framework for nontrivial effective dark-energy dynamics.
Related
- Testing cosmic acceleration from thermogravity without vacuum energy
- Running into tension: primordial black holes from ultra-slow-roll inflation, spectral running, and the Hubble tension
- Running Hubble Constant with the Redshift as a Marker of Evolutionary Dark Energy
- Blue-tilted spectral running and the JWST early galaxy tension
- Running cosmological constant in light of recent CMB-BAO data
BibTeX
@misc{saridakis2026from,
title = {{From thermogravity to thermocosmology with a running non-conservation scale}},
author = {Emmanuel N. Saridakis},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2610.41780},
eprint = {2610.41780},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2610.41780},
}
RIS
TY - UNPB
TI - From thermogravity to thermocosmology with a running non-conservation scale
AU - Emmanuel N. Saridakis
PY - 2026
DA - 2026/10/30
PB - arXiv
DO - 10.48550/arxiv.2610.41780
UR - https://arxiv.org/abs/2610.41780
AB - Thermogravity offers a novel approach to cosmic acceleration, deriving trace-free gravitational equations and matter non-conservation from thermodynamic processes in spacetime. We extend this framework towards thermocosmology by introducing a running non-conservation scale L_2(H), while restricting non-conservation to cold dark matter. We investigate two prescriptions, namely a Hubble-proportional rate and an inverse-Hubble running model, deriving their cosmological dynamics and effective geometric dark-energy description. The first admits an exact analytical solution and is related to quadratic running-vacuum cosmologies, while the second approaches standard matter dilution at early times and allows reversals in the direction of energy exchange. Interestingly, the reconstructed geometric dark energy can exhibit quintessence-like and phantom-like behavior, including smooth crossings of the phantom divide, without introducing a phantom field or superacceleration. A unified dynamical-system analysis reveals distinct matter-era critical configurations and a continuous family of de Sitter solutions that are transversely attracting under suitable conditions. Confronting both models with Pantheon+ Type Ia supernovae, cosmic chronometers, and DESI DR2 baryon acoustic oscillations, we find a mild preference for positive present-day matter non-conservation. The Akaike information criterion slightly favors the thermogravity scenarios, whereas the Bayesian information criterion favors the simpler ΛCDM model. Thus, running thermocosmology provides a viable framework for nontrivial effective dark-energy dynamics.
ER -