The Space Deformation Equation: A Unified Law for All Spacetime Phase Transitions from Noncommutative Hovering States
Year: 2026
Type: preprint
Abstract: We propose the Space Deformation Equation as a unified law governing all spacetime phase transitions from noncommutative hovering states to classical evolutionary states under projection-induced bifurcation: \Delta g = \mathcal{P}(\delta\Omega\theta) = \left.\frac{\partial g}{\partial n}\right|_{n=n_c} \cdot \frac{1}{n_c+1} where n_c is the truncation order, the sole free parameter of the law. The equation outputs the position encoding r_c = n_c + 2\pi/n_c, the opening ratio \rho_{n_c} = 1/(n_c+1), and the deformation increment \Delta g. The transition is triggered when \Psi > \Psi_c, but the deformation amplitude is locked by the algebraic structure and independent of trigger intensity. This law complements the 7/8 Theorem: the 7/8 Theorem determines the static structure at n_c=7 (the Galactic shell at 7.8976 kpc with 1/8 information loss), while the Space Deformation Equation governs the dynamic transition law for all truncation orders n_c. Together, they form a closed framework: “what it is” and “how it changes” are welded into one unified system.
Author: Shuqing, Cui
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7204162256