- #1
Austin0
- 1,160
- 1
From reading in this forum I have gotten an idea regarding the calculation of dilation between an accelerating frame and an inertial frame.
It seems there are two methods I have heard of:
A) An evaluation based on the sum of instantaneous or infintesimally short interval relative velocity derivations.
B) A direct line integration of the curved path of the accelerated frame in Minkowski space.
AS I understand it, the derivative method produces a result that agrees with empirical testing I.e. No dilation beyond what is expcted to result from relative velocity.
Whereas the integration method produces a greater quantitative result than either the derivitive method or the actual test results.
I.e. AN additional dilation factor resulting from acceleration per se. SO it does not conform to the real world.
Is this view essentially correct or am I just misunderstanding and both methods return the exact same quantitative results for any given situation.
ANy clarification appreciated as the practical calculus is beyond me. Thanks
It seems there are two methods I have heard of:
A) An evaluation based on the sum of instantaneous or infintesimally short interval relative velocity derivations.
B) A direct line integration of the curved path of the accelerated frame in Minkowski space.
AS I understand it, the derivative method produces a result that agrees with empirical testing I.e. No dilation beyond what is expcted to result from relative velocity.
Whereas the integration method produces a greater quantitative result than either the derivitive method or the actual test results.
I.e. AN additional dilation factor resulting from acceleration per se. SO it does not conform to the real world.
Is this view essentially correct or am I just misunderstanding and both methods return the exact same quantitative results for any given situation.
ANy clarification appreciated as the practical calculus is beyond me. Thanks