The extended classical mechanics framework primarily addresses macroscopic structures and dynamics within the universe, focusing on large-scale phenomena such as gravitational dynamics, mass-energy interactions, and cosmic motion. In contrast, quantum systems operate at the micro scale, dealing with the fundamental particles and forces that govern atomic and subatomic behaviour. These two frameworks operate in fundamentally different domains, with extended classical mechanics tailored to the vast and continuous scales of the universe, while quantum mechanics addresses discrete and probabilistic interactions at the microscopic level. Therefore, the principles and applications of extended classical mechanics are distinct from those of quantum mechanics, as each framework is specifically designed to address the unique characteristics of its respective scale. As such, direct application of extended classical mechanics to quantum systems is not appropriate, given the intrinsic differences in scale, behaviour, and governing laws between macroscopic and microscopic phenomena.
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Thakur, S. N. (2024c). Extended Classical Mechanics: Vol-1 - Equivalence
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