Title:The Geometric Origin of Quantum Mechanics: The Reduced Planck Constant as Action per RadianAuthors:Zhang Xiangqian, Xu YuchuanPresenter:Lynn Lou Beran (on behalf of the authors)

ORAL

Abstract

This paper introduces a new geometric framework for quantum mechanics, showing that the reduced Planck constant ħ is not an empirical constant but a geometric-dynamical invariant of space itself. Starting from a helical-space model of light-speed outflow, we derive the minimal action identity ħ = M Ω ℓΩ², where M = μg ℓΩ defines the space–mass coupling, Ω is the intrinsic angular frequency, and ℓΩ is the geometric scaling length. When the system reaches its self-consistent limit, ℓΩ equals the Planck length ℓP.

Thus, ħ emerges as the action carried by one radian of spatial rotation, establishing a direct bridge between geometry, gravity, and quantum physics. With only three constants {c, μg, ħ}, all Planck-scale quantities such as G, ℓP, MP, and ωP follow naturally without circular definitions. From this minimal action principle, the Schrödinger equation arises geometrically, revealing the true origin of quantization beyond probabilistic postulates.

This work provides a transparent, unified interpretation of quantum mechanics — a geometric foundation for ħ — potentially reshaping our understanding of space, mass, and the nature of physical constants.

Comments:

The presenter is authorized to present this work on behalf of the authors.

Publication: https://doi.org/10.5281/zenodo.17201145

Presenters

  • Lynn L Beran

    Hope Grace Publishing

Authors

  • Lynn L Beran

    Hope Grace Publishing

  • Xiangqian Zhang

    Independent Researcher

  • Yuchuan Xu

    Independent Researcher