Deterministic Quantum Field Collapse via Infinite Fractal Descent: Mathematical Modeling and Volumetric Visualization

Enkhamgalan Nasanjargal

Published Mar 23, 2026• 0 citations

Abstract

The interpretation of wavefunction collapse remains the most significant conceptual discontinuity between the probabilistic framework of quantum mechanics and the smooth, continuous geometric curves described by general relativity. Standard quantum mechanical interpretations, spearheaded by the Copenhagen school, posit an instantaneous, non-unitary reduction of a state vector |ψ⟩ upon the act of measurement. This statistical "jump," while computationally effective for predicting probability amplitudes, lacks a rigorous physical mechanism and introduces the measurement problem—a fundamental barrier to a unified physical theory. The Infinite Fractal Descent (IFD) framework proposes an alternative deterministic model where this perceived probabilistic collapse is redefined as a continuous, geometric routing of energy across scale-invariant hierarchies. By modeling quantum states as volumetric geometric structures spanning multiple fractal scales—from the macro-environment to the sub-particle limit—the IFD framework provides a pathway to resolving the measurement problem through topological alignment rather than stochastic chance.

DOI: 10.5281/zenodo.19174278

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