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:

**point:**

The 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

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