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The Real-Alignment Interpretation: A Single Postulate for Discreteness and the Born Rule

HALIM, UMAIR (2025) The Real-Alignment Interpretation: A Single Postulate for Discreteness and the Born Rule. [Preprint]

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Abstract

We introduce the Real Alignment Interpretation (RAI), a new structural framework for quantum mechanics in which discreteness, Born-type probabilities, and contextuality follow from a single postulate. Alongside the system state f(t), a contextual state g(t) represents the measurement setting or environment. A discrete event occurs whenever the overlap ⟨f, g⟩ is real, with the recorded eigenvalue selected by a dominance rule. This real alignment criterion predicts null outcomes, intervals in which no event occurs, as an intrinsic feature rather than a detector imperfection. Under ergodic exploration of the event hypersurface, the long run frequencies of outcomes reproduce the Born rule; systematic deviations would arise if ergodicity fails, providing a clear avenue for experimental tests. In this first paper we establish the postulate, illustrate it with a two-state model, and present a geometric reformulation on projective Hilbert space. RAI thus offers a unified, empirically testable starting point for a new approach to quantum foundations.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
HALIM, UMAIRumair@upm.edu.my
Keywords: Quantum foundations; Real-alignment interpretation; Born rule; Contextuality; Ergodicity
Subjects: General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
General Issues > Structure of Theories
Depositing User: Dr. Umair Abdul Halim
Date Deposited: 01 Oct 2025 18:21
Last Modified: 01 Oct 2025 18:21
Item ID: 26798
Subjects: General Issues > Philosophers of Science
Specific Sciences > Physics > Quantum Mechanics
General Issues > Structure of Theories
Date: 21 September 2025
URI: https://philsci-archive.pitt.edu/id/eprint/26798

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