Abstract
The Nuclear Rotor Atlas reveals that coherence in matter is not a fragile quantum probability but a geometric property of curvature on S³. Within this framework, the wavefunction phase ψ corresponds to orientation of a four-dimensional curvature field whose stiffness κ and coherence Σ determine its stability. Quantum computing, viewed through this lens, becomes the art of maintaining and manipulating curvature continuity rather than superposition. Here we develop a unified geometric theory of qubit formation, entanglement, and logical operations based on curvature coherence. Curvature knots and 4-D rotor domains serve as robust topological qubits, ψ-aligned arrays form natural entanglement networks, and logical gates arise from holonomic rotations of curvature phase. Unlike conventional qubits that demand extreme isolation and cryogenic control, curvature-based qubits are predicted to retain coherence through geometric stiffness, allowing warm or condensedphase operation. Examples drawn from the Atlas-including isotope-linked ψ fields, nuclear-electron curvature ₙ coupling, and measurable curvature resonances-suggest experimental paths toward geometric qubit arrays and curvature-locked logic gates. The result is a radical reinterpretation of quantum computation as geometry processing within curvature space, offering a physical and scalable route to stable, energy-efficient quantum information systems. A website featuring The Nuclear Rotor Atlas as an interactive 3D chart.
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The Nuclear Rotor Atlas: Geometry of Quantum Computing | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 10 November 2025 V1 Latest version Share on The Nuclear Rotor Atlas: Geometry of Quantum Computing Author : Stephen Euin Cobb 0009-0001-2971-0984 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.176281734.44171721/v1 193 views 103 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract The Nuclear Rotor Atlas reveals that coherence in matter is not a fragile quantum probability but a geometric property of curvature on S³. Within this framework, the wavefunction phase ψ corresponds to orientation of a four-dimensional curvature field whose stiffness κ and coherence Σ determine its stability. Quantum computing, viewed through this lens, becomes the art of maintaining and manipulating curvature continuity rather than superposition. Here we develop a unified geometric theory of qubit formation, entanglement, and logical operations based on curvature coherence. Curvature knots and 4-D rotor domains serve as robust topological qubits, ψ-aligned arrays form natural entanglement networks, and logical gates arise from holonomic rotations of curvature phase. Unlike conventional qubits that demand extreme isolation and cryogenic control, curvature-based qubits are predicted to retain coherence through geometric stiffness, allowing warm or condensedphase operation. Examples drawn from the Atlas-including isotope-linked ψ fields, nuclear-electron curvature ₙ coupling, and measurable curvature resonances-suggest experimental paths toward geometric qubit arrays and curvature-locked logic gates. The result is a radical reinterpretation of quantum computation as geometry processing within curvature space, offering a physical and scalable route to stable, energy-efficient quantum information systems. A website featuring The Nuclear Rotor Atlas as an interactive 3D chart. Supplementary Material File (r76-the nuclear rotor atlas--geometry of quantum computing-v2.pdf) Download 365.18 KB Information & Authors Information Version history V1 Version 1 10 November 2025 Copyright This work is licensed under a Creative Commons Attribution 4.0 International License Keywords curvature coherence curvature stiffness four-dimensional rotor model geometric entanglement holonomic operations quantum computing s³ geometry the nuclear rotor atlas topological qubits ψ-phase alignment Authors Affiliations Stephen Euin Cobb 0009-0001-2971-0984 [email protected] View all articles by this author Metrics & Citations Metrics Article Usage 193 views 103 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Stephen Euin Cobb. The Nuclear Rotor Atlas: Geometry of Quantum Computing. Authorea . 10 November 2025. 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