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math-ph2019★ 16 cited
Geometric Justification of the Fundamental Interaction Fields for the Classical Long-Range Forces
V. G. Gueorguiev, Andre Maeder
Based on the principle of reparametrization invariance, the general structure of physically relevant classical matter systems is illuminated within the Lagrangian framework. In a s…
math-ph2019★ 13 cited
Reparametrization Invariance and Some of the Key Properties of Physical Systems
V. G. Gueorguiev, Andre Maeder
In this paper, we argue in favor of first-order homogeneous Lagrangians in the velocities. The relevant form of such Lagrangians is discussed and justified physically and geometric…