Gravity as Restoring Pressure: An Elastic/Inelastic Framework for Vacuum Energy, Dark Matter, and Structure Formation

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Authors: Ognjen Puljak
Cited by: 0

Abstract

The Socket Framework proposes a mechanical ontology beneath the established geometric description of gravitation. Its central causal chain is propagation → commitment → socket → membrane → restoring pressure → oscillation → time and geometry. Unconfined energy is taken to belong to a freely propagating sector, while mass corresponds to energy confined in persistent timelike configurations. Such commitment reorganizes a responsive underlying substrate into an extended socket. At finite distance from the committed source, the response may develop a coherently oriented transition region—a membrane—whose tendency to restore the substrate toward its unconfined state is interpreted macroscopically as gravitational restoring pressure. Proper time is proposed as accumulated phase associated with the maintained opposition between commitment and restoration. The framework does not replace general relativity, quantum field theory, the Higgs mechanism or quantum chromodynamics where these descriptions are established. Instead, they are treated as hard constraints on any viable microscopic realization. V16 develops the proposed ontology through source–response separation, nested socket hierarchy, environmental dominance, inertia and gliding motion, covariant anchoring, an effective socket-energy construction, tidal dynamics and gravitational radiation. A candidate scalar deformation sector provides an effective description of extended response, including direct loading, bounded redistribution and quenched historical memory. Changing socket geometry is required to recover the quadrupolar, transverse-tensor gravitational-wave sector of general relativity, while the precise microscopic receptor dynamics and emergence of Einstein geometry remain open derivations. Galaxies are treated as collective sockets whose visible baryonic structure may coexist with extended deformation, primordial scaffolding and finite historical response. The framework’s strongest present empirical anchor is a separate theory-neutral analysis of 159 SPARC galaxies and 3,255 measured radii using identical fixed scalar profiles. A scalar-depth readout Qϕ=ϕ gives a median RMSE of 25.109551 km s⁻¹. Replacing depth with the ontology-motivated orbital-scale radial gradient Q∇=R∣ϕ′∣ lowers the median to 8.716394 km s⁻¹, improves 154 of 159 galaxies, and reduces aggregate residual sum of squares by 82.9%. A bounded decreasing strain-compliance readout further lowers the median to 7.030573 km s⁻¹ and reduces residual power by an additional 22.4% relative to the ungated gradient. These results establish the importance of the profile-to-motion readout for the supplied profiles; they do not establish a unique scalar-field generator, absolute normalization, receptor microstructure or cosmological dark-sector solution. V16 therefore presents the Socket Framework as a mechanical research program rather than a completed theory: a unified causal grammar for gravitation, inertia, proper time, radiation and large-scale structure; a set of effective mathematical constructions; a reproducible observational result; and an explicit catalogue of falsifiable commitments, unresolved derivations and branch-specific failure conditions. Keywords gravity; gravitation; general relativity; emergent gravity; mechanical foundations of gravity; spacetime microstructure; spacetime ontology; restoring pressure; Socket Framework; receptors; responsive substrate; confined energy; mass-energy; commitment; timelike commitment; gravitational field; spacetime geometry; gravitational mechanics; inertia; equivalence principle; proper time; time dilation; accumulated phase; gravitational waves; quadrupole radiation; tidal dynamics; covariant source projection; Landau frame; stress-energy tensor; scalar field; scalar-field gravity; deformation field; nonlinear scalar field; dark matter; dark sector; galaxy dynamics; galaxy rotation curves; SPARC; radial acceleration; scalar-profile readout; radial gradient; strain compliance; bounded redistribution; memory effects; quenched memory; galaxy formation history; galactic structure; disk galaxies; gravitational lensing; galaxy clusters; cluster mergers; cosmology; vacuum energy; cosmological constant problem; quantum gravity; emergent spacetime; falsifiability; observational cosmology; modified gravity; theoretical physics; gravitational phenomenology

Fields of Study & Subjects

Relativity and Gravitational Theory Cosmology and Gravitation Theories Noncommutative and Quantum Gravity Theories

Publication details

Journal / source
Zenodo (CERN European Organization for Nuclear Research)
Publication date
16 February 2026
Language
EN
Document type
Preprint