Principles of Generalized Projection Theory
Year: 2026
Type: preprint
Abstract: We present a mathematical-physical framework in which observable 4D spacetime is interpreted as a projection-induced phase transition from a 256-dimensional structure. A projection operator Π acting on the Hilbert space H_256 (with structure group A_78 ⊂ E_8) yields a fixed 1/8 information loss and a spectral gap at τ = 7/8. This spectral gap maps astrophysically to the Galactic shell inner boundary at R_in = 7.8976 ± 0.0024 kpc, with shell thickness ΔR = 0.2024 ± 0.0008 kpc. The time-flow parameter α undergoes a zero-crossing at the boundary, defining a spatiotemporal hovering surface. The framework yields seven testable predictions, including a second-derivative density jump, power-spectrum discontinuities, and α-gradient effects. Falsification conditions are specified. This work establishes an isomorphism between the Langlands spectral gap, E_8 subalgebra structure, and Galactic-scale astronomical observables.
Author: Shuqing, Cui
Language: English
Subfield: Statistical and Nonlinear Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203736056