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The aim is to propose a topological solution to the measurement problem in quantum mechanics, particularly wave function collapse.

July 30, 2026Open Access

The Topological Mechanism of Wave Function Collapse A Three-Level Scale of Reality, Dynamic Jacobian, and 5D Information Sink

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The aim is to propose a topological solution to the measurement problem in quantum mechanics, particularly wave function collapse.
Developed a mathematical framework based on the Trojan–Hopfield–Zi action and dynamic Jacobian.
Defined a three-level scale of reality characterized by an information load parameter.
Introduced five falsifiable predictions to validate the proposed model.
Collapse occurs at critical information density η_rend = 1.048 with a mechanism driven by environmental interaction.
Predicted an upper bound on quantum correlation speed at V_χ > 10^12 c.
Established a strict collapse scale and time dependency proportional to 1/η_rend.

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This theoretical framework demonstrates wave function collapse through topological interactions, suggesting new insights in quantum mechanics.

Pavel Trojan (2026) studied this question.

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This theoretical framework demonstrates wave function collapse through topological interactions, suggesting new insights in quantum mechanics.