Finite Residual Rule of Sum (FRSR) V2: Curvature Dynamics from a Spectrally-Constrained Quantum Entanglement Field
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| Formato: | Recurso digital |
| Lenguaje: | inglés |
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2025
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| _version_ | 1866901867887329280 |
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| author | Lee, Sang Wook |
| author_facet | Lee, Sang Wook |
| contents | <p><strong>FRSR v2.0: Curvature–Spectral Formulation</strong> refines the Finite Residual Rule of Sum (FRSR) into a fully operational framework linking quantum entanglement, vacuum energy, and cosmological curvature.</p> <p> </p> <p>In this version, the cosmological constant (Λ) is reinterpreted not as a fixed parameter but as a <em>finite spectral curvature field</em> — a residual manifestation of asymmetric quantum entanglement between positive- and negative-energy sectors.</p> <p> </p> <p>The new formulation introduces the concept of <strong>Time Curvature (Kt)</strong>, expressing the universe’s expansion as the curvature of time itself. It maintains the isotropic metric condition (<em>g₀ᵢ = 0</em>) and derives the Hubble function <em>H(a)</em> as a curvature response to finite residual entanglement energy.</p> <p> </p> <p>The implementation, described in the accompanying software package, enables seamless calibration of the model within <strong>CLASS (v3.3.3)</strong> and <strong>MontePython (v3.6)</strong>, supporting parameter translation from the <strong>entanglement spectrum to CPL</strong>-type dark-energy parameters (w₀, wₐ).</p> <p> </p> <p>Compared with <strong>FRSR v1.0 (2025)</strong>, this version formalizes the mathematical bridge between the microscopic entanglement spectrum and macroscopic spacetime dynamics, enabling reproducible numerical fitting against cosmological datasets such as Planck 2018 and Pantheon+ (Brout 2022).</p> <p> </p> <p><strong>Plain summary:</strong></p> <p>The universe’s expansion may not require dark energy as a separate entity — it may simply reflect the finite curvature of time, emerging from entangled energy across the quantum vacuum.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_17563295 |
| institution | Zenodo |
| language | eng |
| publishDate | 2025 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Finite Residual Rule of Sum (FRSR) V2: Curvature Dynamics from a Spectrally-Constrained Quantum Entanglement Field Lee, Sang Wook Physical cosmology Time Curvature Dark Energy Hubble Parameter Quantum Entanglement Theoretical physics <p><strong>FRSR v2.0: Curvature–Spectral Formulation</strong> refines the Finite Residual Rule of Sum (FRSR) into a fully operational framework linking quantum entanglement, vacuum energy, and cosmological curvature.</p> <p> </p> <p>In this version, the cosmological constant (Λ) is reinterpreted not as a fixed parameter but as a <em>finite spectral curvature field</em> — a residual manifestation of asymmetric quantum entanglement between positive- and negative-energy sectors.</p> <p> </p> <p>The new formulation introduces the concept of <strong>Time Curvature (Kt)</strong>, expressing the universe’s expansion as the curvature of time itself. It maintains the isotropic metric condition (<em>g₀ᵢ = 0</em>) and derives the Hubble function <em>H(a)</em> as a curvature response to finite residual entanglement energy.</p> <p> </p> <p>The implementation, described in the accompanying software package, enables seamless calibration of the model within <strong>CLASS (v3.3.3)</strong> and <strong>MontePython (v3.6)</strong>, supporting parameter translation from the <strong>entanglement spectrum to CPL</strong>-type dark-energy parameters (w₀, wₐ).</p> <p> </p> <p>Compared with <strong>FRSR v1.0 (2025)</strong>, this version formalizes the mathematical bridge between the microscopic entanglement spectrum and macroscopic spacetime dynamics, enabling reproducible numerical fitting against cosmological datasets such as Planck 2018 and Pantheon+ (Brout 2022).</p> <p> </p> <p><strong>Plain summary:</strong></p> <p>The universe’s expansion may not require dark energy as a separate entity — it may simply reflect the finite curvature of time, emerging from entangled energy across the quantum vacuum.</p> |
| title | Finite Residual Rule of Sum (FRSR) V2: Curvature Dynamics from a Spectrally-Constrained Quantum Entanglement Field |
| topic | Physical cosmology Time Curvature Dark Energy Hubble Parameter Quantum Entanglement Theoretical physics |
| url | https://doi.org/10.5281/zenodo.17563295 |