Quantization of Relativistic action in multiples of Planck’s (constant) Quantum of action.
a new axiom for special relativity theory.
The third axiom:
Relativistic action is limited to Planck’s Quantum of action.
where the is the Lagrangian.
action for a point particle in a curved spacetime.
Quantization of Nambu–Goto action:
of a relativistic particle is minus the rest energy times the change in proper time.
Single relativistic particle
When relativistic effects are significant, the action of a point particle of mass ”m” travelling a world line ”C” parametrized by the proper time is
If instead, the particle is parametrized by the coordinate time ”t” of the particle and the coordinate time ranges from ”t”1 to ”t”2, then the action becomes
where the Lagrangian is
author: Mr. ESTAKHR, Ahmad reza