26 citations · 100 across the 31 of their papers we have counts for
6 papers · 1 filter
Geometric and physical interpretation of the action principle
Gabriele Carcassi, Christine A. Aidala
We give a geometrical interpretation for the principle of stationary action in classical Lagrangian particle mechanics. In a nutshell, the difference of the action along a path and…
Classical mechanics and infinitesimal reducibility
Gabriele Carcassi, Christine A. Aidala
We briefly show how classical mechanics can be rederived and better understood as a consequence of three assumptions: infinitesimal reducibility, deterministic and reversible evolu…
From physical assumptions to classical and quantum Hamiltonian and Lagrangian particle mechanics
Gabriele Carcassi, Christine A. Aidala, David J. Baker +1
The aim of this work is to show that particle mechanics, both classical and quantum, Hamiltonian and Lagrangian, can be derived from few simple physical assumptions. Assuming deter…
From physical principles to relativistic classical Hamiltonian and Lagrangian particle mechanics
Gabriele Carcassi
We show that classical particle mechanics (Hamiltonian and Lagrangian consistent with relativistic electromagnetism) can be derived from three fundamental assumptions: infinite red…
From physical principles to classical Hamiltonian mechanics
Gabriele Carcassi
We derive the Hamiltonian formulation of classical mechanics directly, without reference to Lagrangian mechanics. We start from the definition of states in terms of labels used to…
Derivation of Hamiltonian mechanics from determinism and reversibility
Gabriele Carcassi
We put forth the idea that Hamilton's equations coincide with deterministic and reversible evolution. We explore the idea from five different perspectives (mathematics, measurement…