Great Energy Field Theory: Arithmetic Anchoring and the Emergent Structure of Quantum Spectra
Abstract
本文提出一个大能场(Great Energy Field, GEF)框架下的量子哈密顿量 H_Z,其核心假设是:整数的素数分解结构可通过一个局域锚定势编码进量子系统,并在能谱中显现为可观测的壳层、能隙和幻数结构。我们在 Z=1–86 范围内验证了原子电离能的周期结构重现(RMSD ≈ 1.5 eV),在核尺度上验证了幻数序列 2, 8, 20, 28, 50, 82, 126 的完整命中。进一步引入自适应锚定后,重元素区精度显著改善(RMSD 从 2.8 eV 降至 1.9 eV),并发现能谱在不同 Z 尺度上呈现自相似的”算术分形”结构。本文不主张”锚定等于显现”,而主张锚定是显现的必要结构条件——素数分解本身不是物理力,但当它被编码进量子势场后,便可通过量子动力学放大为可观测的谱结构。最后给出超重元素区的可检验预言。 关键词:大能场理论;算术锚定;素数分解;量子能谱;幻数;算术分形 We propose a quantum Hamiltonian H_Z within the Great Energy Field (GEF) framework, whose central hypothesis is that the prime factorization structure of integers can be encoded into a quantum system through a local anchoring potential, manifesting in the energy spectrum as observable shell structures, gap enhancements, and magic numbers. We verify the periodic structure reproduction of atomic ionization energies in the Z=1–86 range (RMSD ≈ 1.5 eV), and the complete matching of the magic number sequence 2, 8, 20, 28, 50, 82, 126 at the nuclear scale. Upon introducing adaptive anchoring, the heavy-element accuracy improves significantly (RMSD decreases from 2.8 eV to 1.9 eV), and we discover that the spectrum exhibits self-similar “arithmetic fractal” structure across different Z scales. This paper does not claim that “anchoring equals emergence,” but rather argues that anchoring is a necessary structural condition for emergence — prime factorization itself is not a physical force, but when encoded into a quantum potential, it can be amplified by quantum dynamics into observable…
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