Emergent gravity via phase-space thermodynamics : Local 1PN dynamics and galactic phase transition without dark matter
Year: 2026
Type: dataset
Abstract: — We present an emergent flat-spacetime theory of gravitation based on the thermodynamic impedance of the vacuum (calibrated on the Planck Force µ = c4/G) and vacuum phase condensation at low accelerations (a < a0). In the local first post-Newtonian (1PN) sector, the conservative coupling of relativistic radial inertia Mrad = m(γ + γ3r˙2/c2) and active pair binding energy |U1|/c2 reproduces parameter-free the perihelion advance of Mercury (42.98′′/century), the gravitational redshift of star S2, the Shapiro time delay (247.23 µs), and solar light deflection (1.7504′′). On galactic scales, the vacuum undergoes a second-order phase transition governed by a 3D Ginzburg-Landau free-energy functional in physical Joules (P0 = a2 0/G in Pascals, Kb = 1/2Mba0 in Newtons), analytically locking the coherence ratio at η = ξ/R∗ = 1/√2 ≈ 0.7071 and yielding the two-channel acceleration law g = gN(1 - 1 2ψ4) + √gNa0 ψ. This framework analytically derives the +1/2 deep-regime asymptote of the Radial Acceleration Relation (RAR); confrontation with the McGaugh, Lelli & Schombert (2016) empirical fit (νMLS with g† = 1.20 × 10-10 m/s2) yields RMS = 0.0105 dex (RMS = 0.0156 dex against νsimple). A quadratic gravitational energy-pressure term (ε = 1/16π2 by geometric anchoring) exponentially screens the anomaly in the inner Solar System (∆ϖ˙ Saturn = -6.7 × 10-34 ′′/century) and unifies the External Field Effect (EFE) through xtot = |gN,int + gN,ext|/a0. The theory formally concedes galaxy clusters (Bullet Cluster) and the primordial CMB spectrum, circumscribing dark-matter redundancy to galaxies and stellar systems while preregistering six falsifiable observational sentinels.
Author: POMPIDOR, Frédéric
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7223474396