| _version_ | 1866901034254729216 |
|---|---|
| author | Michel, Paul |
| author_facet | Michel, Paul |
| contents | <p>We propose a unified framework in which the fundamental structures of physics arise from a single underlying principle: the unobservability of absolute scale. Building on previous results showing that quantum mechanics emerges from phase relations associated with scale invariance, and that gauge structure arises from the ambiguity of local scale comparisons, we demonstrate that these features can be incorporated into a single dynamical formulation.</p> <p>In this framework, a complex scalar field Ψ encodes both the local realization of scale and the phase structure underlying quantum amplitudes. The magnitude of Ψ determines the effective normalization of physical quantities and induces a conformal metric structure, while its phase governs interference and quantum behavior. The local variation of Ψ gives rise naturally to a connection field, providing the origin of gauge structure without introducing it as an independent symmetry.</p> <p>We construct a minimal covariant action in which geometry, gauge interactions, and quantum structure are all derived from Ψ and its derivatives. In this formulation, spacetime geometry, gauge fields, and matter-like excitations emerge as different aspects of a single underlying degree of freedom. The resulting framework provides a unified description of quantum mechanics, classical behavior, and cosmological dynamics, while remaining consistent with established field-theoretic principles.</p> <p>This work does not introduce new fundamental entities beyond the scale field, but instead demonstrates that the known structures of physics can be understood as consequences of scale dynamics. The results suggest a pathway toward a unified theory in which quantum, gravitational, and gauge phenomena share a common origin.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19412383 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Unified Structure of Physics from Scale Dynamics Michel, Paul <p>We propose a unified framework in which the fundamental structures of physics arise from a single underlying principle: the unobservability of absolute scale. Building on previous results showing that quantum mechanics emerges from phase relations associated with scale invariance, and that gauge structure arises from the ambiguity of local scale comparisons, we demonstrate that these features can be incorporated into a single dynamical formulation.</p> <p>In this framework, a complex scalar field Ψ encodes both the local realization of scale and the phase structure underlying quantum amplitudes. The magnitude of Ψ determines the effective normalization of physical quantities and induces a conformal metric structure, while its phase governs interference and quantum behavior. The local variation of Ψ gives rise naturally to a connection field, providing the origin of gauge structure without introducing it as an independent symmetry.</p> <p>We construct a minimal covariant action in which geometry, gauge interactions, and quantum structure are all derived from Ψ and its derivatives. In this formulation, spacetime geometry, gauge fields, and matter-like excitations emerge as different aspects of a single underlying degree of freedom. The resulting framework provides a unified description of quantum mechanics, classical behavior, and cosmological dynamics, while remaining consistent with established field-theoretic principles.</p> <p>This work does not introduce new fundamental entities beyond the scale field, but instead demonstrates that the known structures of physics can be understood as consequences of scale dynamics. The results suggest a pathway toward a unified theory in which quantum, gravitational, and gauge phenomena share a common origin.</p> |
| title | Unified Structure of Physics from Scale Dynamics |
| url | https://doi.org/10.5281/zenodo.19412383 |