The Tsirelson Bound as Measurement Geometry of the Existence Equation
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Abstract
Evidence Paper VI of the Existence Equation series Standard quantum mechanics calculates the Tsirelson bound Smax = 2√2 through Hilbert space and operator norms. This paper explains it: 2√2 is the product of two structural factors, each with a transparent origin, requiring no Hilbert space, no C*-algebra, and no Born rule as a postulate. The argument begins inside the ED framework [1]. The condensation term α|Ψ|²Ψ projects a continuous deviation field onto discrete binary outcomes (±1). This is not an assumption — it is the mechanism by which Axiom 1.1 (discreteness of events) is dynamically enforced. The Born rule P = |Ψ|² emerges as a time-averaged phase statistic of the deviation field, demonstrated in [1]…
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Keywords
- Upper and lower bounds
- Binary number
- Infinitesimal
- Existential quantification
- Convex geometry
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