The Geometric Origin of Vacuum Zero-Point Energy —A Derivation Based on Zhang Xiangqian's Unified Field Theory

the core paradigm of Zhang Xiangqian's Unified Field Theory (UFT) that "physics is geometry," this paper rigorously derives the mass density𝜇𝜇𝑠𝑠=𝐾𝐾2/(ℏ𝑐𝑐) and energy density𝜌𝜌𝑣𝑣𝑣𝑣𝑣𝑣=𝐾𝐾2𝑐𝑐/ℏ of vacuum zero-point energy. This derivation originates from the light-speed cylindrical spiral motion of the spacetime background and the inertial intensity constant𝐾𝐾=𝑐𝑐3/𝐺𝐺 .This expression originates from the intrinsic quantum zero-point oscillations of the spacetime background at the Planck scale, revealing the geometric essence of zero-point energy—it constitutes the "background rigidity" essential for the spacetime background to sustain its light-speed cylindrical helical motion. By introducing the Planck length𝑙𝑙𝑝𝑝=􀶥ℏ/𝐾𝐾 , we directly correlate zero-point energy with the fundamental geometric properties of spacetime. Both dimensional analysis and numerical calculations align with the Planck energy density.This paper provides a self-consistent geometric foundation for understanding the enormous magnitude and unobservability of vacuum energy.Keywords: unified field theory; vacuum zero-point energy; inertial strength constant of the spacetime background; Planck scale; quantum oscillation This record is formatted and submitted by Lynn Lou Beran on behalf of the author. The author is solely responsible for the content.