Recovering ℏ/2 from Hidden Phase Geometry: Information–Energy Balance in C6

AKTAŞ, BORA

Published Nov 24, 2025• 0 citations

Abstract

Abstract The standard quantum uncertainty bound, Δx Δp≥ℏ/2\Delta x\,\Delta p \geq \hbar/2ΔxΔp≥ℏ/2, can be reinterpreted geometrically within the dual-norm framework of the C6C_{6}C6 phase manifold. Here, the apparent indeterminacy originates from the information exchange between visible and hidden phase sectors rather than stochastic fluctuations. By analyzing the norm balance between the π\piπ-phase (visible) and ζ(3)\zeta(3)ζ(3)-phase (hidden) domains, the uncertainty relation can be reconstructed as an equality of information–energy transfer, where ℏ/2\hbar/2ℏ/2 emerges from the geometry of projection rather than an imposed quantization rule.

DOI: 10.5281/zenodo.17704188

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