The Born Rule from Spacetime: Unifying Decoherence and Gravity

Danny Westwood

No g2tza_v1, OSF Preprints from Center for Open Science

Abstract: We present a first-principles derivation of the Born rule using a curvature-filtered gravitational decoherence model combined with standard environmental decoherence. The derivation focuses on filtered density matrices and geometric projection operators to explain how outcome probabilities emerge as curvature-weighted classicalizations of quantum states. The curvature filter, motivated by renormalization group flow, regulates when vacuum fluctuations become gravitationally classical. We show that the Born rule emerges as a special case of a normalized curvature-weighted density matrix and as the limit of curvature-saturated operator projections. We briefly supplement this with a path-integral formulation and discuss competing theories. This approach offers a novel, observer-independent foundation for quantum measurement.

Date: 2025-04-24
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Persistent link: https://EconPapers.repec.org/RePEc:osf:osfxxx:g2tza_v1

DOI: 10.31219/osf.io/g2tza_v1

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