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All Journal Jurnal Armada Pendidikan
Rodika Utama
Pendidikan Fisika, FKIP, Universitas Ahmad Dahlan
Education

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The Action Scale and The Emergence of Classical Dynamics in Quantum Systems Rodika Utama; Rustaman
JURNAL ARMADA PENDIDIKAN Vol 4 No 2 (2026): JURNAL ARMADA PENDIDIKAN
Publisher : Kilau Publishing

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.60041/jap.v4i2.370

Abstract

The principle of action plays a central role in both classical and quantum mechanics, yet its physical meaning is often introduced in a purely formal manner. In this work, the concept of action is examined from a scale-based perspective that clarifies its role in the quantum–classical correspondence. By emphasizing the dimensionless ratio S/ℏ, we show that the emergence of classical dynamics can be understood as a consequence of quantum phase coherence rather than as an independent postulate. Within the path integral formulation, classical trajectories arise naturally from stationary-phase conditions when the action associated with a physical process becomes large compared to Planck’s constant. This interpretation provides a unified conceptual framework in which variational principles, quantum interference, and classical determinism are linked through the scale of action. The analysis highlights the role of Planck’s constant as a universal parameter governing the physical relevance of alternative histories, analogous to the function of Boltzmann’s constant in statistical physics. Beyond its theoretical implications, the proposed perspective offers pedagogical value by providing a coherent bridge between classical and quantum mechanics suitable for advanced undergraduate and early graduate physics education.
Co-Authors Rustaman