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2025
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| Online Access: | https://doi.org/10.5281/zenodo.17469114 |
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| _version_ | 1866902230651633664 |
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| author | Thorn, A.M. |
| author_facet | Thorn, A.M. |
| contents | <p>TWIST Quantum uses a single unitary step Ψₙ₊₁ = e^(-iq√(j²+b²))Ψₙ to replace many quantum postulates. From four primitives (q,I,k,a) we derive ℏ = q√(Ik), c = a√(k/I), and tick time Δt = q/√(k/I). Electromagnetism enters as holonomy on a discrete complex (DEC). With the ABCD deck, constants collapse to α⁻¹ = AB (pure geometry times one micro dial), the Golden–FRW background is one number C, and the EM–gravity bridge becomes a π-φ prefactor times B. Benchmarks (free packet, double slit, HO, hydrogen, AB ring, Hofstadter, Landau, spin, CHSH) reproduce textbook results while showing 10²–10³× speedups when the propagator is diagonal in momentum (ticks are compiled, not iterated).</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17469114 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Fast ABCD+q Quantum Mechanics Calculator: Deriving Schrödinger, Pauli, and Dirac with Significant Computational Gains in TWIST Thorn, A.M. <p>TWIST Quantum uses a single unitary step Ψₙ₊₁ = e^(-iq√(j²+b²))Ψₙ to replace many quantum postulates. From four primitives (q,I,k,a) we derive ℏ = q√(Ik), c = a√(k/I), and tick time Δt = q/√(k/I). Electromagnetism enters as holonomy on a discrete complex (DEC). With the ABCD deck, constants collapse to α⁻¹ = AB (pure geometry times one micro dial), the Golden–FRW background is one number C, and the EM–gravity bridge becomes a π-φ prefactor times B. Benchmarks (free packet, double slit, HO, hydrogen, AB ring, Hofstadter, Landau, spin, CHSH) reproduce textbook results while showing 10²–10³× speedups when the propagator is diagonal in momentum (ticks are compiled, not iterated).</p> |
| title | Fast ABCD+q Quantum Mechanics Calculator: Deriving Schrödinger, Pauli, and Dirac with Significant Computational Gains in TWIST |
| url | https://doi.org/10.5281/zenodo.17469114 |