Gravity, Special Relativity, and the Strong Force by Constantinos G. Vayenas & Stamatios N.-A. Souentie

Author:Constantinos G. Vayenas & Stamatios N.-A. Souentie
Language: eng
Format: epub
Publisher: Springer US, Boston, MA

(5.45)

The very significant implications of Eq. (5.45) regarding Newton’s gravitational law under relativistic conditions will be discussed in Sect. 5.4. It is useful here to make some observations regarding Eq. (5.42).

For γ ≫ 1 an observer at S′ perceives a small mass, m o, and a very large acceleration a x′ ( = γ3 a x ).

More importantly, for γ ≫ 1, the laboratory observer at S observes a very small acceleration and a huge inertial mass, γ3 m o.

Thus, due to the invariance of F [Eqs. (5.42) and (5.43)] it follows that, for the laboratory observer, γ3 m o is the inertial mass of a particle under relativistic conditions, regardless of the actual motion that the particle is performing. For the laboratory observer a particle in S′ moving on a circular path and having an instantaneous velocity is indistinguishable from a particle with the same rest mass and velocity moving on a straight line (Fig. 5.2).

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