Information Viscosity and the Formal Resolution of the Yang-Mills Mass Gap A Computational Ontology of Quark Confinement
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2026
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| author | TAYB, El Bouazzaoui |
| author_facet | TAYB, El Bouazzaoui |
| contents | <p>The Yang-Mills existence and mass gap problem remains a foundational impasse in the stan-<br>dard model of particle physics. Classical methodologies, rooted in continuous geometric<br>manifolds, inevitably encounter non-perturbative divergences at the infrared limit, preclud-<br>ing an analytical proof of con_nement. This treatise proposes a paradigm shift by rede_ning<br>the quantum vacuum as a discrete, binary information-processing medium. By substitut-<br>ing the static gauge coupling constant with a dynamic Information Viscosity Tensor<br>η, we model the spatial fabric's fundamental resistance to state transitions. Utilizing a re-<br>ductio ad absurdum proof based on computational latency limits, we demonstrate that a<br>strictly positive mass gap Δ > 0 is a mathematical necessity to prevent causal collapse and<br>in_nite processing loops. Con_nement is reframed not as a mechanical force, but as an emer-<br>gent property of Information Integrity: isolated color charges are incomplete, unprocessable<br>binary instructions that the matrix refuses to execute. The framework yields falsi_able pre-<br>dictions, including quantized processing echoes in high-energy collisions and gravitational<br>wave signatures of information viscosity.<br>Beyond the core proof, this work provides an exhaustive transdisciplinary deployment.<br>We map the _ve pillars of the discrete computational ontology_Discrete Lattice, Unitary<br>Pair Protocol, Information Viscosity Tensor, Processing Latency Theorem, and Con_nement<br>as Information Integrity_onto physics, cosmology, biology, computer science, and economics.<br>We rewrite classical _eld equations in terms of information viscosity, derive the dynamics<br>of the viscosity _eld, and present a uni_ed Lagrangian. Experimental signatures, falsi_-<br>able predictions, and blueprints for new transdisciplinary sciences_Computational Hadron-<br>ics, Discrete Spacetime Cosmology, and Viscosity Engineering_are provided. The treatise<br>closes with philosophical consequences and the vision of a civilization reorganized around<br>the discrete computational fabric, culminating in absolute informational coherence.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19898866 |
| institution | Zenodo |
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| publishDate | 2026 |
| publisher | Zenodo |
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| spellingShingle | Information Viscosity and the Formal Resolution of the Yang-Mills Mass Gap A Computational Ontology of Quark Confinement TAYB, El Bouazzaoui Yang-Mills Theory, Mass Gap, Quark Con_nement, Information Physics, Com- putational Latency, Information Viscosity, Infrared Divergence <p>The Yang-Mills existence and mass gap problem remains a foundational impasse in the stan-<br>dard model of particle physics. Classical methodologies, rooted in continuous geometric<br>manifolds, inevitably encounter non-perturbative divergences at the infrared limit, preclud-<br>ing an analytical proof of con_nement. This treatise proposes a paradigm shift by rede_ning<br>the quantum vacuum as a discrete, binary information-processing medium. By substitut-<br>ing the static gauge coupling constant with a dynamic Information Viscosity Tensor<br>η, we model the spatial fabric's fundamental resistance to state transitions. Utilizing a re-<br>ductio ad absurdum proof based on computational latency limits, we demonstrate that a<br>strictly positive mass gap Δ > 0 is a mathematical necessity to prevent causal collapse and<br>in_nite processing loops. Con_nement is reframed not as a mechanical force, but as an emer-<br>gent property of Information Integrity: isolated color charges are incomplete, unprocessable<br>binary instructions that the matrix refuses to execute. The framework yields falsi_able pre-<br>dictions, including quantized processing echoes in high-energy collisions and gravitational<br>wave signatures of information viscosity.<br>Beyond the core proof, this work provides an exhaustive transdisciplinary deployment.<br>We map the _ve pillars of the discrete computational ontology_Discrete Lattice, Unitary<br>Pair Protocol, Information Viscosity Tensor, Processing Latency Theorem, and Con_nement<br>as Information Integrity_onto physics, cosmology, biology, computer science, and economics.<br>We rewrite classical _eld equations in terms of information viscosity, derive the dynamics<br>of the viscosity _eld, and present a uni_ed Lagrangian. Experimental signatures, falsi_-<br>able predictions, and blueprints for new transdisciplinary sciences_Computational Hadron-<br>ics, Discrete Spacetime Cosmology, and Viscosity Engineering_are provided. The treatise<br>closes with philosophical consequences and the vision of a civilization reorganized around<br>the discrete computational fabric, culminating in absolute informational coherence.</p> |
| title | Information Viscosity and the Formal Resolution of the Yang-Mills Mass Gap A Computational Ontology of Quark Confinement |
| topic | Yang-Mills Theory, Mass Gap, Quark Con_nement, Information Physics, Com- putational Latency, Information Viscosity, Infrared Divergence |
| url | https://doi.org/10.5281/zenodo.19898866 |