Directional Resolution and the Physical Origin of the Principle of Least Action
Abstract
The Principle of Least Action is traditionally treated as a variational rule whose physical origin remains obscure. Within the null-kinematic reformulation of spacetime, the action acquires a direct kinematic interpretation: it measures the cumulative cost of resolving direction from invariant-speed null propagation. Stationary-action trajectories arise as the only histories that permit coherent directional resolution, providing a physical basis for both classical extremal paths and the stationary-phase selection mechanism of Feynman’s path integral formulation. This interpretation suggests that action is more fundamental than force-based descriptions, which emerge only as effective constraints on kinematically selected trajectories. Furthermore, it resolves the ontological status of the electromagnetic potentials, identifying the vector potential A as the primary kinematic transport field while relegating magnetic forces to secondary emergent effects.
Fields of Study & Subjects
Relativity and Gravitational Theory
Quantum and Classical Electrodynamics
Noncommutative and Quantum Gravity Theories
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 9 February 2026
- Document type
- Preprint