Beyond Geometry: A Non-Metric Approach to the Mass Gap Problem via the TAIB Framework
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901097219620864 |
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| author | Gamio, José Luis |
| author_facet | Gamio, José Luis |
| contents | <p>The TAIB dynamic framework is presented, a discrete and non-geometric model where the generation of a dynamic gap (m > 0) emerges from internal causal constraints. Unlike standard continuous field theory formulations, TAIB identifies informational latency and non-linear feedback as the fundamental mechanisms inducing a finite temporal correlation scale.</p> <p>Through the SAP audit protocol, we certify the system's convergence toward a residual mass attractor R* ≈ 48.61 and the existence of a dynamic gap m_TAIB ≈ 9.74 x 10^-4 after 2.5 x 10^6 update steps. The gap is operationally defined through the exponential decay of temporal correlations in the stationary regime.</p> <p>These results suggest that the emergence of a mass scale may be a robust property of causal dynamic systems with finite latency, offering a complementary—though not equivalent—perspective to traditional gauge formulations of the Yang–Mills mass gap problem.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18490639 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Beyond Geometry: A Non-Metric Approach to the Mass Gap Problem via the TAIB Framework Gamio, José Luis Mass gap Dynamical mass generation Causal latency Non-Hamiltonian dynamics Emergent inertia Mathematical Physics Theoretical physics Complex Systems Information Theory <p>The TAIB dynamic framework is presented, a discrete and non-geometric model where the generation of a dynamic gap (m > 0) emerges from internal causal constraints. Unlike standard continuous field theory formulations, TAIB identifies informational latency and non-linear feedback as the fundamental mechanisms inducing a finite temporal correlation scale.</p> <p>Through the SAP audit protocol, we certify the system's convergence toward a residual mass attractor R* ≈ 48.61 and the existence of a dynamic gap m_TAIB ≈ 9.74 x 10^-4 after 2.5 x 10^6 update steps. The gap is operationally defined through the exponential decay of temporal correlations in the stationary regime.</p> <p>These results suggest that the emergence of a mass scale may be a robust property of causal dynamic systems with finite latency, offering a complementary—though not equivalent—perspective to traditional gauge formulations of the Yang–Mills mass gap problem.</p> |
| title | Beyond Geometry: A Non-Metric Approach to the Mass Gap Problem via the TAIB Framework |
| topic | Mass gap Dynamical mass generation Causal latency Non-Hamiltonian dynamics Emergent inertia Mathematical Physics Theoretical physics Complex Systems Information Theory |
| url | https://doi.org/10.5281/zenodo.18490639 |