Quantum action, non-locality and coherence from classical perception - a new facet of Lagrangian formalism for relativistic dynamics

Physics – Classical Physics

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12 pages

Scientific paper

Introspection into the Lagrangian formalism of classical dynamics is made for understanding its inability in sighting the radiative motion, and in realizing quantum action for attaining nonlocal coherence in motion. The stated inabilities are rooted to over sighting the indispensable feature of radiation (real/virtual) energy exchange in field-particle interaction. Embedding the feature into the basic tenet of the formalism, this study has proved that this classical comprehensive approach gains the versatility in sighting the radiative dynamics and the quantum action manifesting coherence in the field-particle interaction. The non-local evolution under quantum action and the criterion of its decoherence are quantified without any axiomatic step for transition between classical and quantum descriptions. Key words: Classical mechanics, Lagrangian formalism, Quantum action, Quantum coherence, Microscopic irreversibility and incoherence, Radiative dynamics, Abhraham-Lorentz-Dirac equation.

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