Emergent Spacetime and Gravity from Timeless Renormalization Consistency: A Quantum Gravity Framework
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| Natura: | Recurso digital |
| Lingua: | inglese |
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Zenodo
2026
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| _version_ | 1866901194303078400 |
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| author | Rajnikant, Sudhakar |
| author_facet | Rajnikant, Sudhakar |
| contents | <div> <div>We develop a quantum gravity framework in which spacetime geometry and gravitational dynamics emerge from a quantum system governed by three fundamental principles: (i) a global Hamiltonian constraint enforcing timelessness, (ii) a variational principle based on stationary action, and (iii) resolution independence, implemented as consistency under renormalization (coarse-graining).</div> <br> <div> Adopting an algebraic formulation of quantum theory, where subsystems are defined as subalgebras of observables and states as linear functionals, we show that entanglement structure provides a natural basis for the emergence of geometry. In a regime characterized by approximate renormalization locality and smooth correlation structure, a metric tensor arises from variations of mutual information between subsystems, while curvature is identified with the nontrivial response of correlations under local deformations.</div> <br> <div> We further demonstrate that imposing simultaneous consistency with the variational principle and renormalization invariance leads to a stability condition on the entanglement structure. In the continuum and near-equilibrium limit, this condition yields Einstein's field equations. Beyond linear order, fluctuations of entanglement naturally generate higher-curvature corrections, suggesting a quadratic gravity structure as a candidate ultraviolet completion.</div> <br> <div> This approach provides a unified perspective in which spacetime, gravity, and their quantum corrections arise as consequences of consistency across scales and stationary dynamics, rather than as independent fundamental inputs.</div> </div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_19182897 |
| institution | Zenodo |
| language | eng |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Emergent Spacetime and Gravity from Timeless Renormalization Consistency: A Quantum Gravity Framework Rajnikant, Sudhakar Quantum Gravity <div> <div>We develop a quantum gravity framework in which spacetime geometry and gravitational dynamics emerge from a quantum system governed by three fundamental principles: (i) a global Hamiltonian constraint enforcing timelessness, (ii) a variational principle based on stationary action, and (iii) resolution independence, implemented as consistency under renormalization (coarse-graining).</div> <br> <div> Adopting an algebraic formulation of quantum theory, where subsystems are defined as subalgebras of observables and states as linear functionals, we show that entanglement structure provides a natural basis for the emergence of geometry. In a regime characterized by approximate renormalization locality and smooth correlation structure, a metric tensor arises from variations of mutual information between subsystems, while curvature is identified with the nontrivial response of correlations under local deformations.</div> <br> <div> We further demonstrate that imposing simultaneous consistency with the variational principle and renormalization invariance leads to a stability condition on the entanglement structure. In the continuum and near-equilibrium limit, this condition yields Einstein's field equations. Beyond linear order, fluctuations of entanglement naturally generate higher-curvature corrections, suggesting a quadratic gravity structure as a candidate ultraviolet completion.</div> <br> <div> This approach provides a unified perspective in which spacetime, gravity, and their quantum corrections arise as consequences of consistency across scales and stationary dynamics, rather than as independent fundamental inputs.</div> </div> |
| title | Emergent Spacetime and Gravity from Timeless Renormalization Consistency: A Quantum Gravity Framework |
| topic | Quantum Gravity |
| url | https://doi.org/10.5281/zenodo.19182897 |