What question did this study set out to answer?

This manuscript aims to establish a foundational framework for understanding mathematics through a topological lens, defining intrinsic ontological origins and boundaries.

July 28, 2026Open Access

PFUSRC-116: On the Integration and Demarcation of Modern Mathematics——The PFUSRC Biconical Topology as the Boundary-Setting Framework for Mathematical Tools

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This manuscript aims to establish a foundational framework for understanding mathematics through a topological lens, defining intrinsic ontological origins and boundaries.
Introduced a core ontological proposition concerning the nature of mathematics and its classification.
Developed two topological judgment criteria: Integration Criterion and Demarcation Criterion.
Classified mainstream mathematical branches based on the new criteria within the PFUSRC system.
Mainstream mathematical branches such as calculus and classical mechanics fall under topological integration, demonstrating ontological relevance.
Branches like ZFC set theory and abstract algebra are subject to topological demarcation, lacking ontological correspondence.
Established that existing mathematical frameworks are limited to 3D steady-state observational predictions.

Authors

ZWZhenmin WangZhejiang University

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Implication

This manuscript integrates mathematics with physical ontological foundations, outlining a new classification and criteria for mathematical systems.

Cite This Study

Zhenmin Wang (2026) studied this question.

synapsesocial.com/papers/6a685d012845b684d16f0754 https://doi.org/10.5281/zenodo.21595200

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Implication

This manuscript integrates mathematics with physical ontological foundations, outlining a new classification and criteria for mathematical systems.

PFUSRC-116: On the Integration and Demarcation of Modern Mathematics——The PFUSRC Biconical Topology as the Boundary-Setting Framework for Mathematical Tools

Key Points

Discussion

Implication

Cite This Study

PFUSRC-116: On the Integration and Demarcation of Modern Mathematics——The PFUSRC Biconical Topology as the Boundary-Setting Framework for Mathematical Tools

Key Points

Discussion

Implication

Cite This Study