שמור ב:
| Main Authors: | , |
|---|---|
| פורמט: | Recurso digital |
| שפה: | אנגלית |
| יצא לאור: |
Zenodo
2025
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| גישה מקוונת: | https://doi.org/10.5281/zenodo.18080204 |
| תגים: |
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תוכן הענינים:
- <p><span>This paper presents a proposal within the framework of 12-dimensional Quantum Diffusion (QD-12) where the effective mass of a particle emerges from the coupling between the energy-momentum tensor and a geometric information tensor, interpreted as the dynamical or modular radion of the internal subspace. A tensor formalism is presented to describe this interaction, and physical analogies are offered to clarify the interpretation of the effective mass term.</span></p> <p><strong><span>Effective mass as an emergent effect: </span></strong><span>It is proposed that effective mass is not a fixed parameter, but rather emerges from the coupling between energy-momentum and a geometric information tensor related to modular modes of the internal space in DQ-12. This is expressed by an EFT ansatz that modifies the Higgs base mass with a geometric information-dependent term.</span></p> <p><strong><span>Geometric interpretation of the information tensor: </span></strong><span>The geometric information tensor, related to the Fisher tensor, is interpreted as a radion field that describes scalar variations in the metric of the internal space, dominated by gradients of the radion modulus . </span><span lang="EN">This gives dimensional and physical consistency to the proposal .</span></p> <p><strong><span>Scalar projection and mass equation: </span></strong><span>The effective mass is defined by a scalar projection of the tensor coupling onto the 4-speed quantum state, ensuring positivity and stability within the effective regime.</span></p> <p><strong><span>Physical analogies for effective mass: </span></strong><span>Analogies with waveguides, where a geometric 'gap' induces effective mass, and with the Kaluza -Klein mechanism, where momentum in extra dimensions is perceived as 4D mass, are used to clarify the nature of the proposed term.</span></p> <p><strong><span>Restrictions from atomic spectroscopy: </span></strong><span>The limitations imposed by precision in atomic spectroscopy on effective mass variations are analyzed, highlighting that broad bound states average the geometric information and reduce the effect, while in high density or curvature environments the effect could increase.</span></p> <p><strong><span>Potential violation of the weak equivalence principle (WEP): </span></strong><span>It is argued that the dependence of coupling on the quantum state can lead to violations of the WEP, which could be detected by atomic interferometry or other high-coherence quantum systems. A perturbative scheme is proposed to avoid circularity in the definition of mass.</span></p> <p><strong><span>Radion modeling and stability: </span></strong><span>The appendix develops a dynamic model for the radion using compensation functions and noise spectra, proposing pink noise to avoid ultraviolet divergence and ensure vacuum stability and EFT consistency. </span><span lang="ES">Criteria for coupling stability and positivity are established.</span></p> <p><strong><span>Numerical estimates and experimental limits: </span></strong><span>Preliminary calculations are made that suggest that the scale of sector DQ-12 could be in the range of 100 MeV to 1 GeV , consistent with primordial nucleosynthesis limits and atomic interferometry experiments, and specific parameters are defined to close the proposal with defensible values.</span></p>