大能场理论:算术锚定与宇宙显现的完整框架

Abstract This paper proposes the “Great Field Theory” (GFT): all observable structures in the universe are manifestation patterns formed by the interference of wave functions/information fields constrained by non-collapsing anchor points within the Great Field background. The theory takes “anchoring equals manifestation” as its core axiom, rigorously argues that anchor points must possess primality (indivisible discrete units), and uses the zero-counterexample correspondence between the prime factorization of proton number Z and electron configurations as an empirical starting point, progressively extending to nuclear scale, spacetime scale, and cosmic large-scale structure. This paper presents the explicit construction and dimensional consistency of the arithmetic anchoring quantum Hamiltonian H_Z, validates the framework through atomic ionization energy tests (RMSD ~1.5 eV) and nuclear magic number correspondence (2, 8, 20, 28, 50, 82, 126). For heavy elements, an adaptive anchoring mechanism is introduced, improving RMSD from 2.8 eV to 1.9 eV. Additionally, arithmetic fractal phenomena (inter-interval correlation coefficients 0.68-0.73) are revealed, and an interference-based physical interpretation of the Pauli exclusion principle and Hund’s rule is provided. At the macroscopic level, the theory achieves compatibility with emergent gravity and provides an anchoring explanation for baryon acoustic oscillations (BAO). A cross-scale unification table is constructed, and five testable predictions are proposed. The framework should currently be regarded as a structural diagnostic tool rather than a replacement for existing atomic or nuclear shell models. Keywords: Great Field; Anchoring; Prime numbers; Interference; Emergent gravity; Cosmic large-scale structure; Arithmetic anchoring; Quantum spectra; Nuclear magic numbers; Adaptive anchoring; Arithmetic fractal