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2025
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| Online Access: | https://doi.org/10.5281/zenodo.18017228 |
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| author | Zhang, Bo |
| author_facet | Zhang, Bo |
| contents | <p><strong>Title:</strong> Emergent Spacetime Kinematics from Quantum Interaction Limits: A Resource-Theoretic Derivation of Special Relativity</p> <p><span><strong>Abstract:</strong> </span><span><span>This paper provides a foundational derivation of </span><strong><span>Lorentz invariance</span></strong><span> and the </span><strong><span>Minkowski metric</span></strong><span> by treating the observer as a finite-bandwidth quantum subsystem rather than a classical reference frame</span></span><span><span><sup></sup></span></span><span>. </span><span><span>Utilizing the </span><strong><span>Holographic Shannon-Landauer (HSL) framework</span></strong><span>, the author demonstrates that the geometric properties of spacetime emerge from fundamental information-processing constraints</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+3</span></div> <p></p> <p> </p> <p><strong>Key Highlights:</strong></p> <ul> <li> <p> </p> <p><span><strong><span>The Speed of Light (c):</span></strong><span> Reinterpreted as the saturation limit of causal interaction rates within the vacuum medium, where the interaction flux consumes the observer's entire quantum bandwidth</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+2</span></div> <p> </p> </li> <li> <p> </p> <p><span><strong><span>Minkowski Metric Signature:</span></strong><span> Derived from the orthogonality of internal state evolution and spatial translation generators within Hilbert space</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+3</span></div> <p> </p> </li> <li> <p> </p> <p><span><strong><span>Time Dilation:</span></strong><span> Shown to be a necessary consequence of conserving a system's total "action budget" (based on the Margolus-Levitin limit) when external spatial interactions increase</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+2</span></div> <p> </p> </li> <li> <p> </p> <p><span><strong><span>Physical Definitions:</span></strong><span> Offers new information-theoretic interpretations for Mass (internal bandwidth) and Spacetime (an emergent bookkeeping structure for information exchange)</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+1</span></div> <p> </p> </li> </ul> <p><span><span>This work unifies thermodynamics, quantum information, and relativistic kinematics, suggesting that spacetime geometry is an emergent manifestation of the physical limits of observers</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+1</span></div> <p></p> <p> </p> <p> </p> <p><span><strong><span>Keywords:</span></strong><span> Emergent Gravity, Special Relativity, Quantum Reference Frames, Margolus-Levitin Limit, Interaction Flux, HSL Framework</span></span><span><span><sup></sup></span></span><span>.</span></p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18017228 |
| institution | Zenodo |
| language | |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergent Spacetime Kinematics from Quantum Interaction Limits: A Resource-Theoretic Derivation of Special Relativity Zhang, Bo <p><strong>Title:</strong> Emergent Spacetime Kinematics from Quantum Interaction Limits: A Resource-Theoretic Derivation of Special Relativity</p> <p><span><strong>Abstract:</strong> </span><span><span>This paper provides a foundational derivation of </span><strong><span>Lorentz invariance</span></strong><span> and the </span><strong><span>Minkowski metric</span></strong><span> by treating the observer as a finite-bandwidth quantum subsystem rather than a classical reference frame</span></span><span><span><sup></sup></span></span><span>. </span><span><span>Utilizing the </span><strong><span>Holographic Shannon-Landauer (HSL) framework</span></strong><span>, the author demonstrates that the geometric properties of spacetime emerge from fundamental information-processing constraints</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+3</span></div> <p></p> <p> </p> <p><strong>Key Highlights:</strong></p> <ul> <li> <p> </p> <p><span><strong><span>The Speed of Light (c):</span></strong><span> Reinterpreted as the saturation limit of causal interaction rates within the vacuum medium, where the interaction flux consumes the observer's entire quantum bandwidth</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+2</span></div> <p> </p> </li> <li> <p> </p> <p><span><strong><span>Minkowski Metric Signature:</span></strong><span> Derived from the orthogonality of internal state evolution and spatial translation generators within Hilbert space</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+3</span></div> <p> </p> </li> <li> <p> </p> <p><span><strong><span>Time Dilation:</span></strong><span> Shown to be a necessary consequence of conserving a system's total "action budget" (based on the Margolus-Levitin limit) when external spatial interactions increase</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+2</span></div> <p> </p> </li> <li> <p> </p> <p><span><strong><span>Physical Definitions:</span></strong><span> Offers new information-theoretic interpretations for Mass (internal bandwidth) and Spacetime (an emergent bookkeeping structure for information exchange)</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+1</span></div> <p> </p> </li> </ul> <p><span><span>This work unifies thermodynamics, quantum information, and relativistic kinematics, suggesting that spacetime geometry is an emergent manifestation of the physical limits of observers</span></span><span><span><sup></sup><sup></sup><sup></sup><sup></sup></span></span><span>.</span></p> <div><span>+1</span></div> <p></p> <p> </p> <p> </p> <p><span><strong><span>Keywords:</span></strong><span> Emergent Gravity, Special Relativity, Quantum Reference Frames, Margolus-Levitin Limit, Interaction Flux, HSL Framework</span></span><span><span><sup></sup></span></span><span>.</span></p> |
| title | Emergent Spacetime Kinematics from Quantum Interaction Limits: A Resource-Theoretic Derivation of Special Relativity |
| url | https://doi.org/10.5281/zenodo.18017228 |