Geometric Response Cosmology (GRC): Fundamental Postulate, Effective Lagrangian and Phenomenology
Abstract
We present a unified synthesis of Geometric Response Cosmology (GRC), a framework in which time emerges as a consequence of the universe expanding at the speed of light everywhere, with no distinction between the presence or absence of matter or other organized energy, being kinematic rather than dynamic, where that expansion is isotropic and gravity emerges from an energy gradient in the substrate (tension) generated by organized energy, not from spacetime curvature. A model without dark matter: the excess galactic dynamics is explained as the coupling between local gravity and the isotropic expansion of the substrate; without dark energy: the expansion is inertial and linear, and what is observed as acceleration is the recovery of synchrony of matter with that expansive flow. From a single kinematic postulate (conservation of the norm of the velocity vector in the flat substrate) and the effective model that realizes it, we derive: (i) the Newtonian limit (Poisson equation); (ii) the galactic transition scale a₀ = cH₀/(2π), derived mechanically and confronted with the MOND/SPARC phenomenology, which the framework takes as a comparative reference; (iii) the complete Schwarzschild regime (redshift, Shapiro delay, light deflection, photon sphere, Mercury's perihelion) from a single effective velocity scalar function; (iv) the black-hole ontology as substrate ruptures without singularity; (v) early cosmology with numerically computed nucleosynthesis — the naive linear chronology is excluded and the observed helium and deuterium are reproduced with a small early effective component of radiative spectrum, audited through three independent routes —, and early structure formation compatible with JWST in the mass census, with galactic kinematics as a registered prediction currently in tension with the data; (vi) the N-body validation of the framework in six campaigns: the unconfined extension regime is refuted, confinement restores a Newtonian universe at every Mpc scale, and the dynamical extension remains viable and bounded by local physics. The model does not require inflation. We propose an effective Lagrangian with coupling to the organized-energy density as the minimal macroscopic description of the substrate.
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BibTeX
@misc{decoppet2026geometric,
title = {{Geometric Response Cosmology (GRC): Fundamental Postulate, Effective Lagrangian and Phenomenology}},
author = {Guillermo Omar Decoppet},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23441621},
url = {https://zenodo.org/records/23441621},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Geometric Response Cosmology (GRC): Fundamental Postulate, Effective Lagrangian and Phenomenology
AU - Guillermo Omar Decoppet
PY - 2026
DA - 2026/10/17
PB - Zenodo
DO - 10.5281/zenodo.23441621
UR - https://zenodo.org/records/23441621
AB - We present a unified synthesis of Geometric Response Cosmology (GRC), a framework in which time emerges as a consequence of the universe expanding at the speed of light everywhere, with no distinction between the presence or absence of matter or other organized energy, being kinematic rather than dynamic, where that expansion is isotropic and gravity emerges from an energy gradient in the substrate (tension) generated by organized energy, not from spacetime curvature. A model without dark matter: the excess galactic dynamics is explained as the coupling between local gravity and the isotropic expansion of the substrate; without dark energy: the expansion is inertial and linear, and what is observed as acceleration is the recovery of synchrony of matter with that expansive flow. From a single kinematic postulate (conservation of the norm of the velocity vector in the flat substrate) and the effective model that realizes it, we derive: (i) the Newtonian limit (Poisson equation); (ii) the galactic transition scale a₀ = cH₀/(2π), derived mechanically and confronted with the MOND/SPARC phenomenology, which the framework takes as a comparative reference; (iii) the complete Schwarzschild regime (redshift, Shapiro delay, light deflection, photon sphere, Mercury's perihelion) from a single effective velocity scalar function; (iv) the black-hole ontology as substrate ruptures without singularity; (v) early cosmology with numerically computed nucleosynthesis — the naive linear chronology is excluded and the observed helium and deuterium are reproduced with a small early effective component of radiative spectrum, audited through three independent routes —, and early structure formation compatible with JWST in the mass census, with galactic kinematics as a registered prediction currently in tension with the data; (vi) the N-body validation of the framework in six campaigns: the unconfined extension regime is refuted, confinement restores a Newtonian universe at every Mpc scale, and the dynamical extension remains viable and bounded by local physics. The model does not require inflation. We propose an effective Lagrangian with coupling to the organized-energy density as the minimal macroscopic description of the substrate.
ER -