实虚二元场论离散可变格耗散泛函几何中分形晶格层级完备性补充研究Supplementary Research on Completeness of Fractal Lattice Hierarchy in Discrete Variable Lattice Dissipative Functional Geometry of Real-Virtual Dual Field Theory

摘要 在实虚二元场论前期全域尺度定量推演阶段,受直观物理认知局限,曾构建仅包含普朗克底层单元、1.944 mm 基准晶格的两层尺度简化模型作为辅助分析图像。依托本理论核心体系离散可变格耗散泛函几何、共轭黄金衰减律与全域介质稳态条件重新开展自洽推演后可证实:两层尺度简化模型存在固有耗散收支失衡缺陷,无法支撑闭合宇宙长期动力学稳态。从离散可变格耗散泛函几何的数学形式来看,空间晶格天然满足黄金自相似层级嵌套递推关系;同时客观物理宇宙存在两道刚性尺度截断边界,微观下限为普朗克长度,宏观上限为本文第一性原理推导得到的刘中强全息饱和临界尺度。因此真实宇宙介质对应两道边界之间的有限多层分形晶格序列,宏观基准晶格为全层级尺度递推中心锚点。本文厘清早期两层简化模型的来源、适用边界与内在局限,严格推导多层分形体系稳态成立条件,统一界定有效晶格层级的尺度区间,将单基准单元、双尺度截断、多层黄金嵌套整合为完备离散可变格耗散泛函几何分析框架。关键词:实虚二元场论;离散可变格耗散泛函几何;黄金分形晶格;共轭黄金衰减;刘中强尺度;全域稳态;尺度截断 Abstract In the early stage of global scale quantitative deduction of real-virtual dual field theory, limited by intuitive physical cognition, a two-layer simplified scale model containing only Planck fundamental unit and 1.944 mm reference lattice was constructed as an auxiliary analysis diagram. Re-deduction based on the core system of this theory—Discrete Variable Lattice Dissipative Functional Geometry, conjugate golden decay law and global medium steady-state condition verifies that the two-layer simplified scale model has an inherent defect of unbalanced dissipation budget, which cannot support long-term dynamic steady state of closed universe. From the mathematical form of Discrete Variable Lattice Dissipative Functional Geometry, spatial lattices naturally satisfy the recursive relation of golden self-similar hierarchical nesting. Meanwhile, the objective physical universe has two rigid scale truncation boundaries: the microscopic lower limit is Planck length, and the macroscopic upper limit is Liu Zhongqiang holographic saturation critical scale derived from first principles in this paper. Therefore, the real cosmic medium corresponds to a finite sequence of multi-layer fractal lattices between two boundaries, and the macroscopic reference lattice serves as the central anchor of scale recursion for all hierarchies. This paper clarifies the origin, applicable boundary and inherent limitations of the early two-layer simplified model, strictly deduces the establishment condition of steady state for multi-layer fractal system, uniformly defines the scale interval of effective lattice hierarchy, and integrates single reference unit, dual scale truncation and multi-layer golden nesting into a complete Discrete Variable Lattice Dissipative Functional Geometry analysis framework.Keywords: Real-Virtual Dual Field Theory; Discrete Variable Lattice Dissipative Functional Geometry; Golden Fractal Lattice; Conjugate Golden Decay; Liu Zhongqiang Scale; Global Steady State; Scale Truncation

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-08-03
DOI
https://doi.org/10.5281/zenodo.21776124
Primary Topic
Theoretical and Computational Physics
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
preprint

实虚二元场论离散可变格耗散泛函几何中分形晶格层级完备性补充研究Supplementary Research on Completeness of Fractal Lattice Hierarchy in Discrete Variable Lattice Dissipative Functional Geometry of Real-Virtual Dual Field Theory

Zhongqiang Liu
Zenodo (CERN European Organization for Nuclear Research)
Theoretical and Computational Physics
preprint

实虚二元场论离散可变格耗散泛函几何中分形晶格层级完备性补充研究Supplementary Research on Completeness of Fractal Lattice Hierarchy in Discrete Variable Lattice Dissipative Functional Geometry of Real-Virtual Dual Field Theory

Zhongqiang Liu
preprint en

Abstract

摘要 在实虚二元场论前期全域尺度定量推演阶段,受直观物理认知局限,曾构建仅包含普朗克底层单元、1.944 mm 基准晶格的两层尺度简化模型作为辅助分析图像。依托本理论核心体系离散可变格耗散泛函几何、共轭黄金衰减律与全域介质稳态条件重新开展自洽推演后可证实:两层尺度简化模型存在固有耗散收支失衡缺陷,无法支撑闭合宇宙长期动力学稳态。从离散可变格耗散泛函几何的数学形式来看,空间晶格天然满足黄金自相似层级嵌套递推关系;同时客观物理宇宙存在两道刚性尺度截断边界,微观下限为普朗克长度,宏观上限为本文第一性原理推导得到的刘中强全息饱和临界尺度。因此真实宇宙介质对应两道边界之间的有限多层分形晶格序列,宏观基准晶格为全层级尺度递推中心锚点。本文厘清早期两层简化模型的来源、适用边界与内在局限,严格推导多层分形体系稳态成立条件,统一界定有效晶格层级的尺度区间,将单基准单元、双尺度截断、多层黄金嵌套整合为完备离散可变格耗散泛函几何分析框架。关键词:实虚二元场论;离散可变格耗散泛函几何;黄金分形晶格;共轭黄金衰减;刘中强尺度;全域稳态;尺度截断 Abstract In the early stage of global scale quantitative deduction of real-virtual dual field theory, limited by intuitive physical cognition, a two-layer simplified scale model containing only Planck fundamental unit and 1.944 mm reference lattice was constructed as an auxiliary analysis diagram. Re-deduction based on the core system of this theory—Discrete Variable Lattice Dissipative Functional Geometry, conjugate golden decay law and global medium steady-state condition verifies that the two-layer simplified scale model has an inherent defect of unbalanced dissipation budget, which cannot support long-term dynamic steady state of closed universe. From the mathematical form of Discrete Variable Lattice Dissipative Functional Geometry, spatial lattices naturally satisfy the recursive relation of golden self-similar hierarchical nesting. Meanwhile, the objective physical universe has two rigid scale truncation boundaries: the microscopic lower limit is Planck length, and the macroscopic upper limit is Liu Zhongqiang holographic saturation critical scale derived from first principles in this paper. Therefore, the real cosmic medium corresponds to a finite sequence of multi-layer fractal lattices between two boundaries, and the macroscopic reference lattice serves as the central anchor of scale recursion for all hierarchies. This paper clarifies the origin, applicable boundary and inherent limitations of the early two-layer simplified model, strictly deduces the establishment condition of steady state for multi-layer fractal system, uniformly defines the scale interval of effective lattice hierarchy, and integrates single reference unit, dual scale truncation and multi-layer golden nesting into a complete Discrete Variable Lattice Dissipative Functional Geometry analysis framework.Keywords: Real-Virtual Dual Field Theory; Discrete Variable Lattice Dissipative Functional Geometry; Golden Fractal Lattice; Conjugate Golden Decay; Liu Zhongqiang Scale; Global Steady State; Scale Truncation

Zenodo (CERN European Organization for Nuclear Research)
Theoretical and Computational Physics
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.