Finite-dimensional quantum mechanics, including the Born rule and complex Hilbert space structure, follows uniquely from distinguishability plus finite capacity and self-referential consistency.
Classification of all alter- natives to the Born rule in terms of informational prop- erties,
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Existence as Distinguishability: Quantum Mechanics from Finite Graded Equality
Finite-dimensional quantum mechanics, including the Born rule and complex Hilbert space structure, follows uniquely from distinguishability plus finite capacity and self-referential consistency.