| _version_ | 1866901279656116224 |
|---|---|
| author | Oscar Emmanuel Castor Garay |
| author_facet | Oscar Emmanuel Castor Garay |
| contents | <p>Current paradigms in Quantum Computing (SQC) face a fundamental bottleneck: the fragility of the qubit state within a Hilbert space due to environmental decoherence and the massive overhead required for active error correction. This paper presents a comprehensive comparative analysis between standard qubit architectures and the proposed TIGM (Theory of Interdimensional Geometrization of Matter) topological framework.</p> <p>By ontologically redefining the electron not as a point-particle but as a stable 5D Topological Soliton (Klein Bottle knot) with a Winding Number of \alpha^{-1} \approx 137, we demonstrate that quantum information can be encoded in the global topological class of particle trajectories (braids) rather than fragile local phase states. The analysis contrasts the vulnerability of SQC against the intrinsic fault tolerance of TIGM, showing that topological knots are invariant under local perturbations. We conclude that TIGM architecture provides a theoretical basis for decoherence-free subspaces and operational viability at room temperature, effectively rendering the current reliance on dilution refrigerators and massive redundancy obsolete.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17863942 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | TIGM Topological Computing: An Error-Immune Paradigm for Room-Temperature Quantum Processing Oscar Emmanuel Castor Garay TIGM Theory, Interdimensional Geometrization, Topological Soliton, 5D Kaluza-Klein, Klein Bottle, Fine-Structure Constant, Alpha 1/137, Winding Number, Dimensional Fossilization, Metric Engineering, Topological Quantum Computing, Vacuum Structure, Unified Field Theory, Non-Abelian Anyons, Metric Gradient Engine (4-(m-Chlorophenylcarbamoyloxy)-2-butynyl)trimethylammonium Chloride <p>Current paradigms in Quantum Computing (SQC) face a fundamental bottleneck: the fragility of the qubit state within a Hilbert space due to environmental decoherence and the massive overhead required for active error correction. This paper presents a comprehensive comparative analysis between standard qubit architectures and the proposed TIGM (Theory of Interdimensional Geometrization of Matter) topological framework.</p> <p>By ontologically redefining the electron not as a point-particle but as a stable 5D Topological Soliton (Klein Bottle knot) with a Winding Number of \alpha^{-1} \approx 137, we demonstrate that quantum information can be encoded in the global topological class of particle trajectories (braids) rather than fragile local phase states. The analysis contrasts the vulnerability of SQC against the intrinsic fault tolerance of TIGM, showing that topological knots are invariant under local perturbations. We conclude that TIGM architecture provides a theoretical basis for decoherence-free subspaces and operational viability at room temperature, effectively rendering the current reliance on dilution refrigerators and massive redundancy obsolete.</p> |
| title | TIGM Topological Computing: An Error-Immune Paradigm for Room-Temperature Quantum Processing |
| topic | TIGM Theory, Interdimensional Geometrization, Topological Soliton, 5D Kaluza-Klein, Klein Bottle, Fine-Structure Constant, Alpha 1/137, Winding Number, Dimensional Fossilization, Metric Engineering, Topological Quantum Computing, Vacuum Structure, Unified Field Theory, Non-Abelian Anyons, Metric Gradient Engine (4-(m-Chlorophenylcarbamoyloxy)-2-butynyl)trimethylammonium Chloride |
| url | https://doi.org/10.5281/zenodo.17863942 |