Quantum State Space Theory of Mathematical Structures (QSST)

Jincheng Zhang

Published Aug 16, 2026• 0 citations

Abstract

This paper introduces the Quantum State Space Theory of Mathematical Structures (QSST), a novel approach to understanding mathematical objects. Traditional mathematics treats mathematical objects as fixed and deterministic. QSST proposes a fundamentally different paradigm, suggesting that any given structure can exist in multiple, potentially overlapping, states. These states are represented as a set, Ψ(X) = {X1, X2, ..., Xn}, where X represents the mathematical object and the elements within the set denote the possible states it can occupy. The theory focuses on analyzing the transformation rules governing the transitions between these states. QSST offers a potential framework for developing a formal theory of mathematical object states, moving beyond the conventional, static view of mathematical entities. This work establishes the core concepts and outlines a preliminary exploration of QSST's potential implications. ---

DOI: 10.5281/zenodo.21960839

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