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The paper investigates how quantum mechanics can emerge from classical wave dynamics through a novel time dimensional framework.

August 1, 2026Quantum ReportsOpen Access

Emergence of Quantum Mechanical Formalism Through a Dimensional Redefinition of Time

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Theoretical work explores quantum mechanics' emergence from classical dynamics, suggesting new insights into time's role.

The paper investigates how quantum mechanics can emerge from classical wave dynamics through a novel time dimensional framework.
Proposed a dimensional framework treating time as a +1 evolution parameter in a higher-dimensional space.
Introduced a general projection framework to map higher-dimensional fields to reduced descriptions while preserving information.
Analyzed constraints leading to complex amplitudes and canonical operator relations using classical wave dynamics.
Demonstrated that a 4 + 1-dimensional framework leads to the emergence of the Schrödinger equation as a low-energy description.
Showed that relativistic dispersion relations arise simultaneously with the effective dynamics modeled.
Concluded that quantum mechanics can be derived from a higher-dimensional deterministic framework without assumed quantum principles.

Georgios Alamanos (2026) studied this question.

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