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Preprint . 2025
License: CC BY
Data sources: Datacite
ZENODO
Preprint . 2025
License: CC BY
Data sources: Datacite
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The Theory of Dimension-Dependent Mathematical Laws in a Fractal Number Theory Framework and Scientific Validation

descriptionPublicationkeyboard_double_arrow_right Preprint 08 Feb 2025 English Publisher:Zenodo
Authors: zhou, changzheng;

doi: 10.5281/zenodo.14835419 , 10.5281/zenodo.14835420

The Theory of Dimension-Dependent Mathematical Laws in a Fractal Number Theory Framework and Scientific Validation

Abstract

本研究建立了一个结合分形几何try 和数论的新型公理框架,揭示了数学工具与空间维度之间的动态关系。通过构建与维度相关的测度理论和分数阶微分方程,我们首次在实验系统中观察到了数学定律的维度敏感性。通过受控石墨烯褶皱实验和分形动力学模拟,验证了重整化微分算子与维度参数之间的定量关系,为基础数学研究提供了新的实证范式。

Keywords

Fractal Measure Theory Dimension Dependency Fractional Differential Operators Graphical Wrinkle Experiment Dynamic Fractal Geometry Transformation of Mathematical Laws Dimensional Field Phase Transition

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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