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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20230619 |
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| _version_ | 1866901527452450816 |
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| author | Su, Zhen |
| author_facet | Su, Zhen |
| contents | <div>The cosmological constant crisis is the most severe foundational conflict between quantum field theory and general relativity: naive local zero-point energy summation deviates from observations by \(10^{121}\) orders of magnitude. Existing methods depend on phenomenology, artificial renormalization, or fine-tuning, lacking first-principles solutions.</div> <div> </div> <div>We abandon fixed smooth spacetime and trivial Fock vacuum, constructing a closed gauge-gravity system in ZFC and C$^*$-algebraic framework. Using GNS representation, OS positivity, and Haag–Swieca spectral axioms, we define the physical vacuum as a global spectral ground state.</div> <div> </div> <div>We prove that non-smooth algebra-induced spacetime and C$^*$-norm boundedness structurally truncate ultraviolet modes axiomatically. The cosmological constant is redefined as the Hamiltonian spectral infimum, decoupled from local zero-point energy. Spectral bounds match observations, resolving the \(10^{121}\) disaster without fine-tuning.</div> <div> </div> <div>This framework unifies quantum algebraic structure and cosmic gravity, laying an axiomatic foundation for dark energy and quantum-gravity unification.</div> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_20230619 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Spectral Vacuum Axiomatics: Non-Smooth Spacetime and the First-Principles Resolution of the Cosmological Constant Crisis Su, Zhen <div>The cosmological constant crisis is the most severe foundational conflict between quantum field theory and general relativity: naive local zero-point energy summation deviates from observations by \(10^{121}\) orders of magnitude. Existing methods depend on phenomenology, artificial renormalization, or fine-tuning, lacking first-principles solutions.</div> <div> </div> <div>We abandon fixed smooth spacetime and trivial Fock vacuum, constructing a closed gauge-gravity system in ZFC and C$^*$-algebraic framework. Using GNS representation, OS positivity, and Haag–Swieca spectral axioms, we define the physical vacuum as a global spectral ground state.</div> <div> </div> <div>We prove that non-smooth algebra-induced spacetime and C$^*$-norm boundedness structurally truncate ultraviolet modes axiomatically. The cosmological constant is redefined as the Hamiltonian spectral infimum, decoupled from local zero-point energy. Spectral bounds match observations, resolving the \(10^{121}\) disaster without fine-tuning.</div> <div> </div> <div>This framework unifies quantum algebraic structure and cosmic gravity, laying an axiomatic foundation for dark energy and quantum-gravity unification.</div> |
| title | Spectral Vacuum Axiomatics: Non-Smooth Spacetime and the First-Principles Resolution of the Cosmological Constant Crisis |
| url | https://doi.org/10.5281/zenodo.20230619 |