The Quantahedron as a Pre-Gravitational Unified Geometry: A Null-Centered Framework for Mass–Energy–Time without Fundamental Gravity
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| Natura: | Recurso digital |
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2026
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| _version_ | 1866901759574671360 |
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| author | John James (ZERO) |
| author_facet | John James (ZERO) |
| contents | <p><span>The Quantahedron as a Pre-Gravitational Unified Geometry</span><span> proposes a geometric framework in which mass, energy, and temporal delay emerge from angular deviation within a normalized quanta lattice rather than from gravitational curvature as a fundamental interaction. The Quantahedron is defined as a convex L¹ simplex centered on a null symmetry state, providing a minimal geometric substrate for propagation, interaction, and conservation without requiring gravity as a primitive force. </span></p> <p>Within this framework, observable physical quantities arise as functions of propagation geometry. Angular deviation encodes mass emergence, directional propagation components encode energy, and asymmetric propagation produces temporal delay. A mapping to relativistic invariants demonstrates compatibility with Lorentz kinematics, while a geometric action formulation frames particle trajectories as constrained optimization paths within the simplex manifold. Physical dimensionality is introduced through a characteristic lattice scale, enabling connections to Compton and Planck regimes and yielding explicit scaling relations linking geometric deviation to measurable quantities.</p> <p><span>The Quantahedron therefore functions as a </span><span>pre-gravitational geometric substrate</span><span> in which gravitational phenomena are interpreted as emergent macroscopic effects of angular deviation gradients and collective symmetry deformation. This perspective aligns with emergent gravity approaches while offering a unified geometric interpretation of mass–energy–time relationships grounded in convex topology, normalization constraints, and information-geometric structure.</span></p> <p>The manuscript outlines formal definitions, relativistic correspondences, a geometric Lagrangian formulation, dimensional scaling relations, and potential experimental implications, including discrete mass quantization, modified scattering geometry, and null-propagation stability. The framework is intended as a conceptual and mathematical foundation for further development of geometry-first unification approaches and connections to positive geometry, discrete spacetime models, and emergent interaction theories.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18806379 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | The Quantahedron as a Pre-Gravitational Unified Geometry: A Null-Centered Framework for Mass–Energy–Time without Fundamental Gravity John James (ZERO) Physics Emergent gravity Geometric unification Angular deviation physics Convex geometry Information geometry Positive geometry Discrete space time mass-energy-time unification <p><span>The Quantahedron as a Pre-Gravitational Unified Geometry</span><span> proposes a geometric framework in which mass, energy, and temporal delay emerge from angular deviation within a normalized quanta lattice rather than from gravitational curvature as a fundamental interaction. The Quantahedron is defined as a convex L¹ simplex centered on a null symmetry state, providing a minimal geometric substrate for propagation, interaction, and conservation without requiring gravity as a primitive force. </span></p> <p>Within this framework, observable physical quantities arise as functions of propagation geometry. Angular deviation encodes mass emergence, directional propagation components encode energy, and asymmetric propagation produces temporal delay. A mapping to relativistic invariants demonstrates compatibility with Lorentz kinematics, while a geometric action formulation frames particle trajectories as constrained optimization paths within the simplex manifold. Physical dimensionality is introduced through a characteristic lattice scale, enabling connections to Compton and Planck regimes and yielding explicit scaling relations linking geometric deviation to measurable quantities.</p> <p><span>The Quantahedron therefore functions as a </span><span>pre-gravitational geometric substrate</span><span> in which gravitational phenomena are interpreted as emergent macroscopic effects of angular deviation gradients and collective symmetry deformation. This perspective aligns with emergent gravity approaches while offering a unified geometric interpretation of mass–energy–time relationships grounded in convex topology, normalization constraints, and information-geometric structure.</span></p> <p>The manuscript outlines formal definitions, relativistic correspondences, a geometric Lagrangian formulation, dimensional scaling relations, and potential experimental implications, including discrete mass quantization, modified scattering geometry, and null-propagation stability. The framework is intended as a conceptual and mathematical foundation for further development of geometry-first unification approaches and connections to positive geometry, discrete spacetime models, and emergent interaction theories.</p> |
| title | The Quantahedron as a Pre-Gravitational Unified Geometry: A Null-Centered Framework for Mass–Energy–Time without Fundamental Gravity |
| topic | Physics Emergent gravity Geometric unification Angular deviation physics Convex geometry Information geometry Positive geometry Discrete space time mass-energy-time unification |
| url | https://doi.org/10.5281/zenodo.18806379 |