Informational Holonomy and the Electron

Informational Holonomy and the Electron g-Factor: A Super Information Theory (SIT) Spinoff This work derives the electron gyromagnetic ratio g=2 as a direct consequence of informational holonomy within Super Information Theory (SIT). In SIT, electromagnetism emerges as the holonomy of the coherence-phase connection, and matter fields couple minimally to this U(1) phase. By reducing the SIT action to the Dirac–Maxwell sector, we prove that the Pauli spin–magnetic term appears with unit coefficient, yielding the Zeeman interaction −qmS⋅B-\tfrac{q}{m}\mathbf{S}\cdot\mathbf{B}−mqS⋅B and hence g=2g=2g=2. The derivation shows that the “factor of 2” is a geometric inevitability: magnetism counts 2π2\pi2π of U(1) phase, while spinors are 4π4\pi4π-periodic objects under SU(2) rotations. Their ratio enforces g=2 In this framework, the negative sign of the electron charge naturally explains why the magnetic moment is antiparallel to spin. We present two independent proofs (Dirac–Pauli squaring and Foldy–Wouthuysen transformation), alongside a geometric interpretation that emphasizes holonomy doubling. Standard QED loop effects are recovered as small corrections, while SIT offers an avenue to explore potential environment-dependent deviations through coherence-field and time-density gradients. This spinoff paper builds on the SIT program (2017–2025) and provides a concrete, testable bridge between its phase-holonomy framework and a textbook physical observable: the electron ggg-factor.While the algebra that gives the electron’s g=2 value is the same as in standard Dirac theory, the contribution of this paper is different: it shows why this doubling is inevitable when seen through the lens of Super Information Theory (SIT). In SIT, electromagnetism is not just assumed but arises as the holonomy of an underlying information-phase field, and spinors are naturally 4π4\pi4π-periodic. This makes the factor of two a geometric necessity rather than a coincidence of the Dirac algebra. The paper also points out where SIT could predict small, environment-dependent shifts in the ggg-factor if coherence or time-density fields vary, giving a clear path for possible experimental tests.