P26: Singularity: Why and How Physical Substrate Dynamics Make Infinite Density Impossible
Year: 2026
Type: conference-abstract
Abstract: General Relativity (GR) successfully models gravitational curvature and geodesic motion but permits singularities because curvature is treated geometrically without a physically compressible carrier medium possessing persistence, redistribution, entrainment, saturation, and coherence dynamics. This paper proposes that when gravitational deformation is treated as physically real and dynamically propagated through the Spaticle field [4] substrate, five stabilising mechanisms emerge naturally: outward rotational entrainment redistribution, nested-domain reinforcement [6], vortex-core stabilisation, substrate restoring pressure, and coherence-threshold saturation. Together these mechanisms prevent unlimited local density divergence and replace singular collapse with finite organised compression structures whose maximum density ρ_max_finite is bounded by the same substrate parameters that govern galaxy rotation curves and gravitational-wave carrier dynamics. The paper derives the maximum compression density bound from the full extended free-energy functional of the Spaticle field [4], where all stabilising terms originate from one substrate density ρ_s = 5.9 × 10⁻²⁷ kg/m³ and the proton charge radius r_p with no additional free parameters. The Rotational Sustenance Principle is introduced: no vortical compression core of any origin can persist without a continuous supply of surrounding rotating mass. A quantitative seed dissipation timescale is derived - for an isolated seed - establishing that Pathway 2 (stellar collapse) and Pathway 3 (explosive release) seed cores are genuinely transient without rotational reinforcement [6], while Pathway 1 (large-scale rotational aggregation) cores are inherently self-sustaining. Quantitative analysis of DDR enhancement fractions across ten validated SPARC galaxies provides direct observational evidence for rotational entrainment saturation. Nine popular myths about singularities are systematically addressed. Four falsifiable predictions are presented. [19] General Relativity models curvature and geodesic motion but permits singularities because curvature is treated without a compressible carrier medium. When deformation is treated as organised compression in the Spaticle field of density ρ_s = 5.9 × 10⁻²⁷ kg/m³, unlimited density divergence is excluded. A finite mean-density bound follows from the causal cap v = c on the gravitational circular-speed relation v² = GM/R, giving R_max = GM/c² and ρ̄_max = 3c⁶/(4πG³M²). For a 10 M_☉ object this is R_max = 14.77 km and ρ̄_max ≈ 1.47 × 10¹⁸ kg m⁻³. The P16 condensation functional provides an independent microscopic barrier to zero-radius condensation. Five substrate mechanisms, restoring response, higher-order compression cost, outward entrainment, finite-core stabilisation, and coherence thresholds, replace singular collapse with a finite organised compression structure. The Rotational Sustenance Principle states that no vortical core persists without surrounding rotating mass. Isolated Pathway 2 and 3 seeds do not persist without reinforcement, while Pathway 1 cores are self-sustaining as long as the host rotational system persists. The same whirlpool reading is used on galaxies: DME in P18 [7] gives v²(R) = v_b²(R)[1 + a_s R/v_b²(R)]^{1/2} with a_s = c(Gρ_s/3)^{1/2}. On 175 SPARC galaxies: shape agreement 92.0%, flat classification 98.8%, median outer relative residual 0.100. Nine myths about singularities are addressed. Four falsifiable predictions are given.
Author: Sharma, Vijay Shankar
Language: English
Subfield: Astronomy and Astrophysics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7166717997
Cites:
Cited by:
Related to: