spacetime-response gravity.
Abstract
This paper proposes spacetime-response gravity, a phenomenological framework in which baryonic matter excites a nonlinear scalar response that supplements the weak-field gravitational acceleration. Under static spherical symmetry, the chosen constitutive law yields an explicit transition function: it produces a square-root response at low acceleration and the asymptotic relation v_flat⁴ ≈ GMᵦaₛ, while approaching a nonzero residual acceleration aₛ in the high-acceleration limit. The model is presented as a testable reduced construction rather than a complete relativistic alternative to dark matter. Its viability therefore depends on a covariant, stable completion that consistently predicts galaxy dynamics, gravitational lensing, local-gravity behaviour, cluster phenomenology, and cosmology. The constant high-acceleration residual and the non-analytic infrared kinetic behaviour are identified as central theoretical and observational challenges.
Related
- Spacetime Has a Relaxation Time: A Constitutive Completion of Weak-Field Gravity
- Quantum spacetime and gravity from the IKKT matrix model: an invitation
- On a model of quantum quadratic gravity in 7 + 1-dimensional spacetime
- Spiral galaxy spacetime in extended scalar-tensor-Gauss-Bonnet gravity coupled to nonlinear electrodynamics
- Strong-coupling of Minkowski spacetime in f(R) gravity: a Hamiltonian perspective
BibTeX
@misc{biswell2026spacetimeresponse,
title = {{spacetime-response gravity.}},
author = {Michael Douglas Biswell},
howpublished = {Zenodo},
year = {2026},
month = oct,
doi = {10.5281/zenodo.23536453},
url = {https://zenodo.org/records/23536453},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - spacetime-response gravity.
AU - Michael Douglas Biswell
PY - 2026
DA - 2026/10/21
PB - Zenodo
DO - 10.5281/zenodo.23536453
UR - https://zenodo.org/records/23536453
AB - This paper proposes spacetime-response gravity, a phenomenological framework in which baryonic matter excites a nonlinear scalar response that supplements the weak-field gravitational acceleration. Under static spherical symmetry, the chosen constitutive law yields an explicit transition function: it produces a square-root response at low acceleration and the asymptotic relation v_flat⁴ ≈ GMᵦaₛ, while approaching a nonzero residual acceleration aₛ in the high-acceleration limit. The model is presented as a testable reduced construction rather than a complete relativistic alternative to dark matter. Its viability therefore depends on a covariant, stable completion that consistently predicts galaxy dynamics, gravitational lensing, local-gravity behaviour, cluster phenomenology, and cosmology. The constant high-acceleration residual and the non-analytic infrared kinetic behaviour are identified as central theoretical and observational challenges.
ER -