Published October 28, 2025 | Version v1

Quantum Tempo: Phase, Co-Scaling, and Coherence in Rupture–Containment Cosmology (RCC)

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This paper develops the quantum foundation of Rupture–Containment Cosmology (RCC).
It derives the tempo-scaled Schrödinger and Dirac equations, showing that the tempo field τ and tension field ε govern phase coherence and decoherence through lawful co-scaling of local rates.
The Hilbert-space formulation proves that the ε-dressed Hamiltonian is self-adjoint and unitary, ensuring Lorentz-symmetric evolution.
Quantum Tempo connects these microscopic tempo variations to macroscopic observables such as gravitational redshift, interferometric phase drift, and GPS clock differentials, thereby unifying quantum and relativistic time behaviour.
Together with the Lagrangian, Hilbert-Space, and UV Completion papers, it forms one formally consistent RCC framework spanning all Bronstein-Cube domains.

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