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This research aims to redefine mathematical analysis by examining its topological foundations and implications across various dimensions.

July 15, 2026Open Access

PFUSRC-086C: The Topological Positioning of Mathematical Analysis – From Complex Analysis to Tensor Analysis: Topological One as the Universal Unfolding Protocol at the Projection Layer

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This research aims to redefine mathematical analysis by examining its topological foundations and implications across various dimensions.
Introduced PFUSRC framework addressing complex, vector, and tensor analysis.
Distinction between Ontological Mathematics, Tool Mathematics, and Abstract Game.
Analysis of dimensional constraints and geometric tensors in higher dimensions.
Demonstrated that traditional calculus approaches infinity while PFUSRC calculus approaches unity.
Identified limitations of higher-dimensional tensors due to topological gauge constraints.
Proposed that all branches of mathematical analysis reflect the unfolding of Topological One across different contexts.

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Framework repositions mathematical analysis through topological principles, indicating limitations in higher-dimensional frameworks.

Zhenmin Wang (2026) studied this question.

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