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ZENODO
Preprint . 2025
License: CC BY SA
Data sources: ZENODO
ZENODO
Preprint . 2025
License: CC BY SA
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY SA
Data sources: Datacite
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Gravitation Without Mass: A Geometric Pressure Interpretation of Curvature

Authors: Omeñaca Prado, Carlos;

Gravitation Without Mass: A Geometric Pressure Interpretation of Curvature

Abstract

Can mass be defined if only one object exists in the universe? This work argues that it cannot: mass is a relational quantity with no physical meaning in a one-object universe. Using the ADM 3+1 formalism, gravitational acceleration is expressed as the orthogonal projection of the curvature gradient—a structure formally equivalent to a pressure gradient. This leads to a reinterpretation of gravity as geometric pressure acting on the compact volume displaced by an object, rather than a force sourced by mass. The framework leaves Einstein’s equations untouched while replacing the classical mass→curvature linkage with a volume→pressure mechanism that is ontologically consistent, operationally definable, and naturally compatible with quantum descriptions. The result clarifies the conceptual foundations of General Relativity, dissolves the classical–quantum discontinuity without introducing gravitons, and avoids unwarranted unification claims by explicitly restricting the interpretation to gravity alone.

Keywords

GeneralRelativity,GravitationWithoutMass,GeometricPressure,CurvatureGradient,ADMFormalism,SpacetimeGeometry,RelationalMass,QuantumGravity,FoundationsOfPhysics,TheoreticalPhysics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
Green