Saturation Causale et Dualité Higgs–Matière Noire : Deux Régimes d'un Même Phénomène Topologique sur le Graphe Pentachorique
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2026
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| _version_ | 1866901856269107200 |
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| author | BLATIERE, Jean-Baptiste |
| author_facet | BLATIERE, Jean-Baptiste |
| contents | <p>Abstract (english translation) :</p> <p>Within the framework of the pentachoric formalism developed by the author [2], the local causal density $\tilde{\rho}_v \in [0, 1]$ constitutes the unique fundamental variable governing both the emergent geometry and the dynamics of quantum excitations. We demonstrate here that the Higgs boson and dark matter are not entities of a different nature, but rather two physically distinct regimes of the same phenomenon: <strong>causal saturation of the graph</strong>.</p> <p>Dark matter corresponds to the residual density $\tilde{\rho}_{res}$ slowly accumulated at the cosmological scale through the diffusion of causal scars. The Higgs boson corresponds to an acute and transient saturation of the same field $\tilde{\rho}_v$, locally induced by a high-energy collision (gluon–gluon via top quark loop). In both cases, the variable $\tilde{\rho}_v$ crosses the critical threshold $\tilde{\rho}^* = 1/\alpha$ determined by the thermodynamics of the graph, where $\alpha = 1/(4 \ln 2)$.</p> <p>The difference is one of scale and duration, not of nature. This unification implies that mass is not an intrinsic property of fields—the Higgs mechanism describes the effective emergence of inertia within a causal graph whose local density exceeds the saturation threshold. Verifiable quantitative predictions are formulated, notably regarding the electroweak scale, the mass spectrum of gauge bosons, and the relationship between the strong coupling constant $\alpha_s$ and the fundamental parameters of the graph.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18735042 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Saturation Causale et Dualité Higgs–Matière Noire : Deux Régimes d'un Même Phénomène Topologique sur le Graphe Pentachorique BLATIERE, Jean-Baptiste pentachoron quantum gravity Discrete spacetime Dark energy Causal network Higgs bosons Higgs <p>Abstract (english translation) :</p> <p>Within the framework of the pentachoric formalism developed by the author [2], the local causal density $\tilde{\rho}_v \in [0, 1]$ constitutes the unique fundamental variable governing both the emergent geometry and the dynamics of quantum excitations. We demonstrate here that the Higgs boson and dark matter are not entities of a different nature, but rather two physically distinct regimes of the same phenomenon: <strong>causal saturation of the graph</strong>.</p> <p>Dark matter corresponds to the residual density $\tilde{\rho}_{res}$ slowly accumulated at the cosmological scale through the diffusion of causal scars. The Higgs boson corresponds to an acute and transient saturation of the same field $\tilde{\rho}_v$, locally induced by a high-energy collision (gluon–gluon via top quark loop). In both cases, the variable $\tilde{\rho}_v$ crosses the critical threshold $\tilde{\rho}^* = 1/\alpha$ determined by the thermodynamics of the graph, where $\alpha = 1/(4 \ln 2)$.</p> <p>The difference is one of scale and duration, not of nature. This unification implies that mass is not an intrinsic property of fields—the Higgs mechanism describes the effective emergence of inertia within a causal graph whose local density exceeds the saturation threshold. Verifiable quantitative predictions are formulated, notably regarding the electroweak scale, the mass spectrum of gauge bosons, and the relationship between the strong coupling constant $\alpha_s$ and the fundamental parameters of the graph.</p> |
| title | Saturation Causale et Dualité Higgs–Matière Noire : Deux Régimes d'un Même Phénomène Topologique sur le Graphe Pentachorique |
| topic | pentachoron quantum gravity Discrete spacetime Dark energy Causal network Higgs bosons Higgs |
| url | https://doi.org/10.5281/zenodo.18735042 |