A Planck-Normalized Physical-Vacuum Response Model for Newtonian Weak-Field Gravity

Newtonian gravity is firmly established in the weak-field regime, but its deeper physical origin remains an open question. To address this question, we develop a minimal effective construction on fixed Minkowski spacetime in which matter is represented by localized oscillatory defects of dynamical vacuum fields, with complete background-subtracted energy determining rest mass and inertia. Gravity arises from a source-induced deficit in the first angular moment of an otherwise isotropic vacuum response. Captured energy is restored through statistically isotropic backgroundization, while the source-test directional correlation is not restored in the ideal limit. Separate source and test responses, together with reciprocity and universal response per unit complete mass, yield an inverse-square interaction and composition-independent free fall. A Planck-scale normalization recovers the Newtonian coupling and the Poisson equation under linear superposition. Because the Planck scales already contain the measured gravitational constant, this construction provides a factorization and physical reinterpretation of Newtonian gravity rather than an independent prediction of G. A distinct collective vacuum-momentum response for extended many-defect systems is also outlined, while its normalization and astrophysical applications are left to future work.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-09-01
DOI
https://doi.org/10.5281/zenodo.22216751
Primary Topic
Cosmology and Gravitation Theories
Type
preprint
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preprint

A Planck-Normalized Physical-Vacuum Response Model for Newtonian Weak-Field Gravity

Shaolei Gai
Zenodo (CERN European Organization for Nuclear Research)
Cosmology and Gravitation Theories
preprint

A Planck-Normalized Physical-Vacuum Response Model for Newtonian Weak-Field Gravity

Shaolei Gai
preprint en

Abstract

Newtonian gravity is firmly established in the weak-field regime, but its deeper physical origin remains an open question. To address this question, we develop a minimal effective construction on fixed Minkowski spacetime in which matter is represented by localized oscillatory defects of dynamical vacuum fields, with complete background-subtracted energy determining rest mass and inertia. Gravity arises from a source-induced deficit in the first angular moment of an otherwise isotropic vacuum response. Captured energy is restored through statistically isotropic backgroundization, while the source-test directional correlation is not restored in the ideal limit. Separate source and test responses, together with reciprocity and universal response per unit complete mass, yield an inverse-square interaction and composition-independent free fall. A Planck-scale normalization recovers the Newtonian coupling and the Poisson equation under linear superposition. Because the Planck scales already contain the measured gravitational constant, this construction provides a factorization and physical reinterpretation of Newtonian gravity rather than an independent prediction of G. A distinct collective vacuum-momentum response for extended many-defect systems is also outlined, while its normalization and astrophysical applications are left to future work.

Zenodo (CERN European Organization for Nuclear Research)
University of Newcastle Australia (AU)
Sustainable cities and communities
Cosmology and Gravitation Theories
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