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| Format: | Recurso digital |
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Zenodo
2026
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| Online Access: | https://doi.org/10.5281/zenodo.20230619 |
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Table of 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>