Summing to Uncertainty: On the Necessity of Additivity in Deriving the Born Rule

arXiv:2603.06211 · quant-ph · Submitted 2026-03-06 · Read on arXiv

quant-ph

Submitted: 2026-03-06

Updated: 2026-03-06

DOI: 10.1103/mqy7-s2db

License: http://arxiv.org/licenses/nonexclusive-distrib/1.0/

Terminology

• Additivity — 7× in this paper · explained in 1 episode

Sources

• Quantum Mechanics of Individual Systems
• The Born Rule -- Axiom or Result?
• A formal proof of the Born rule from decision-theoretic assumptions
• Decisions, Decisions, Decisions: Can Savage Salvage Everettian Probability?
• No-signalling-based version of Zurek's derivation of quantum probabilities: A note on "Environment-assisted invariance, entanglement, and probabilities in quantum physics"

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