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Speaker |
Friedman, Yaakov |
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Coauthors |
Friedman, Yaakov; Scarr, Tzvi; Steiner, Joseph |
| Talk Title |
A Geometric Relativistic Dynamics Under Any Conservative Force |
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Abstract |
Riemann's principle ``force equals geometry" provided the basis for Einstein's General Relativity - the geometric theory of gravitation. We introduced a Generalized Principle of Inertia stating that: "An inanimate object moves inertially (with constant velocity) in its own spacetime whose geometry is determined by the forces affecting it". Classical Newtonian dynamics for motion under a conservative force field is treated within this framework, using a properly defined Newtonian metric on an inertial lab frame which is obtained from the potential of the force field acting on the object. We reveal a physical deficiency of this metric (responsible for the inability of Newtonian dynamics to account for relativistic behavior), and remove it. The dynamics defined by the corrected Newtonian metric leads to a new Relativistic Newtonian Dynamics for both massive objects and massless particles moving in any static, conservative force field, not necessarily gravitational. This dynamics reduces in the weak field, low velocity limit to classical Newtonian dynamics and also exactly reproduces the tests of General Relativity. |
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