Gravity from the Geometry of Null Orientation Fields

This work investigates the gravitational implications of the geometric interpretation of mass developed in earlier work. It was previously shown that configurations composed of multiple non-collinear null orientations cannot remain globally null unless all orientations are perfectly collinear. Any deviation from exact alignment produces a timelike invariant, introducing proper time and giving rise to what relativity interprets as mass. Building on this result, the present work examines how gravitational behavior may arise from spatial variations of such timelike closures. If mass corresponds to the local geometric closure of null orientations, then the spatial distribution of these closures generates gradients in the local proper-time structure of spacetime. These gradients modify the surrounding orientation structure of null configurations and lead to effective accelerations corresponding to gravitational phenomena. Within this framework, gravity is not introduced as an additional fundamental interaction. Instead, it appears as the geometric response of the global null-orientation structure of spacetime to localized timelike closures. Mass and gravity therefore emerge as two aspects of the same underlying structural principle: mass corresponds to the formation of a timelike configuration, while gravity arises from the spatial gradients of that closure. The analysis relies solely on the invariant geometry of Minkowski spacetime and does not introduce new fields, particles, or dynamical structures. In this interpretation, gravitational acceleration follows from spatial variations in the proper-time structure associated with timelike realization. The familiar Newtonian limit emerges naturally when these variations are small, suggesting that gravitational phenomena may arise from the geometric distinction between null and timelike configurations within the orientation structure of spacetime.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-03-12
DOI
https://doi.org/10.5281/zenodo.18990024
Primary Topic
Relativity and Gravitational Theory
Type
article
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Gravity from the Geometry of Null Orientation Fields

Luka Gluvić
Zenodo (CERN European Organization for Nuclear Research)
Relativity and Gravitational Theory
article

Gravity from the Geometry of Null Orientation Fields

Luka Gluvić
article en

Abstract

This work investigates the gravitational implications of the geometric interpretation of mass developed in earlier work. It was previously shown that configurations composed of multiple non-collinear null orientations cannot remain globally null unless all orientations are perfectly collinear. Any deviation from exact alignment produces a timelike invariant, introducing proper time and giving rise to what relativity interprets as mass. Building on this result, the present work examines how gravitational behavior may arise from spatial variations of such timelike closures. If mass corresponds to the local geometric closure of null orientations, then the spatial distribution of these closures generates gradients in the local proper-time structure of spacetime. These gradients modify the surrounding orientation structure of null configurations and lead to effective accelerations corresponding to gravitational phenomena. Within this framework, gravity is not introduced as an additional fundamental interaction. Instead, it appears as the geometric response of the global null-orientation structure of spacetime to localized timelike closures. Mass and gravity therefore emerge as two aspects of the same underlying structural principle: mass corresponds to the formation of a timelike configuration, while gravity arises from the spatial gradients of that closure. The analysis relies solely on the invariant geometry of Minkowski spacetime and does not introduce new fields, particles, or dynamical structures. In this interpretation, gravitational acceleration follows from spatial variations in the proper-time structure associated with timelike realization. The familiar Newtonian limit emerges naturally when these variations are small, suggesting that gravitational phenomena may arise from the geometric distinction between null and timelike configurations within the orientation structure of spacetime.

Zenodo (CERN European Organization for Nuclear Research)
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