Derivation of Mass Properties from Geometric Confinement of Null Motion
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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Zenodo
2025
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| _version_ | 1866902202009780224 |
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| author | Rezapour, Majid Rezapour, Ramin |
| author_facet | Rezapour, Majid Rezapour, Ramin |
| contents | <p>This paper develops a unified geometric framework in which the familiar mechanical and gravitational properties of mass emerge as necessary consequences of geometric confinement of null motion in phase space. Building on the premise that rest mass arises from recurrent, topologically closed lightlike trajectories, the work shows that inertia, linear force response (F = ma), kinetic energy, relativistic inertia increase, and the equivalence principle all follow from a single underlying mechanism: resistance to geometric reconfiguration of a closed phase-space structure.</p> <p>Rather than postulating these properties independently, the framework derives them operationally from how a recurrent configuration responds to external perturbations. Rest mass appears as persistent circulation energy, kinetic energy as asymmetric redistribution under drift, relativistic effects as interference between internal lightlike motion and translational motion, and equality of inertial and gravitational mass as a direct consequence of a single stress–energy source. The approach is deliberately modest: it does not attempt to derive the particle mass spectrum, spin, or gauge charges, but instead clarifies why any object that possesses mass must exhibit the observed mechanical and gravitational behaviors.</p> <p>By emphasizing derivation over assumption, the paper offers a complementary perspective to the Higgs mechanism and standard field-theoretic treatments, reframing mass properties as emergent features of geometry rather than intrinsic attributes of substance.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18075374 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Derivation of Mass Properties from Geometric Confinement of Null Motion Rezapour, Majid Rezapour, Ramin geometric mass emergence null motion confinement phase-space closure inertial mass kinetic energy relativistic inertia equivalence principle stress–energy tensor geometric reconfiguration resistance emergent mechanics <p>This paper develops a unified geometric framework in which the familiar mechanical and gravitational properties of mass emerge as necessary consequences of geometric confinement of null motion in phase space. Building on the premise that rest mass arises from recurrent, topologically closed lightlike trajectories, the work shows that inertia, linear force response (F = ma), kinetic energy, relativistic inertia increase, and the equivalence principle all follow from a single underlying mechanism: resistance to geometric reconfiguration of a closed phase-space structure.</p> <p>Rather than postulating these properties independently, the framework derives them operationally from how a recurrent configuration responds to external perturbations. Rest mass appears as persistent circulation energy, kinetic energy as asymmetric redistribution under drift, relativistic effects as interference between internal lightlike motion and translational motion, and equality of inertial and gravitational mass as a direct consequence of a single stress–energy source. The approach is deliberately modest: it does not attempt to derive the particle mass spectrum, spin, or gauge charges, but instead clarifies why any object that possesses mass must exhibit the observed mechanical and gravitational behaviors.</p> <p>By emphasizing derivation over assumption, the paper offers a complementary perspective to the Higgs mechanism and standard field-theoretic treatments, reframing mass properties as emergent features of geometry rather than intrinsic attributes of substance.</p> |
| title | Derivation of Mass Properties from Geometric Confinement of Null Motion |
| topic | geometric mass emergence null motion confinement phase-space closure inertial mass kinetic energy relativistic inertia equivalence principle stress–energy tensor geometric reconfiguration resistance emergent mechanics |
| url | https://doi.org/10.5281/zenodo.18075374 |