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Explore the derivation of drift bias from Lorentzian signature using representation theory.

April 10, 2026Open Access

Derivation of the Drift Bias from Lorentzian Signature via Spin-1/2 Representation Theory

Key Points

Explore the derivation of drift bias from Lorentzian signature using representation theory.
Derived B_A = sqrt(3)/2 through a nine-step theorem chain.
Utilized spin-1/2 representation theory of SL(2,R).
Analyzed microstate count and Fisher simplex angle.
Successfully determined unique Wigner amplitude as cos(theta/2).
Six kill conditions showed positive outcomes.
Achieved an error of 0.11% compared to empirical results.
Framework established with zero free parameters.

Abstract

Derives BA = sqrt (3) /2 = cos (pi/6) from the (2, 1) Lorentzian signature of the Eckert manifold via spin-1/2 representation theory of SL (2, R). Nine-step derivation chain, each link a theorem or proven result. Signature determines microstate count (N=4), Fisher simplex angle (pi/3), and forces cos (theta/2) as unique Wigner amplitude. 6/6 kill conditions PASS. Error vs empirical: 0. 11%. Framework now has zero free parameters.

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Anthony W. Eckert

Damghan University

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Derivation of the Drift Bias from Lorentzian Signature via Spin-1/2 Representation Theory

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Abstract

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