A chosen statistical average over the authors' multiplicative Lagrangians reproduces the known relativistic free-particle Lagrangian and Hamiltonian, but the averaging distribution is selected to force that outcome.
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The emergence of the relativistic Lagrangian from the non-relativistic multiplicative Lagrangian
A chosen statistical average over the authors' multiplicative Lagrangians reproduces the known relativistic free-particle Lagrangian and Hamiltonian, but the averaging distribution is selected to force that outcome.