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May 4, 2026Open Access

A structural identification of the two-clock projection constant cos(π/8) with the T-gate magic-state overlap and the symmetric CHSH optimum

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Authors

AAAli Attar

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Overview

Conditional structural identification of various quantum constants reveals their interrelations, suggesting deeper connections in quantum mechanics.

Key Points

  • The study aims to structurally identify three independent instances of cos(π/8) relating to quantum constants in quantum mechanics.
  • Conditional structural identification of I_clk, |⟨+|T|+⟩|, and β using QTT framework.
  • Utilization of positive-lapse geometry and single-qubit Pauli algebra for derivation.
  • Examination of Bell consistency and outcome independence via Jarrett–Shimony decomposition.
  • The magic-state overlap and clock projection constant are shown to be the same projection from the same spinor rotor.
  • The probability of winning in the CHSH game is derived as P_win^QM = cos²(π/8), expressing a structural identity.
  • Conditional identification is not experimentally validated and relies on algebraic derivations of QTT.

Cite This Study

Ali Attar (2026) studied this question.

synapsesocial.com/papers/69f837793ed186a739981947https://doi.org/10.5281/zenodo.19979595
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