Without dividing 1/0 and assuming c=max limit, why no time dilation as required by e=mc^2?

Even without reaching c, time dilation should set in way before acceleration/mass equation limits speed. I suppose the next question is, is a partical mass? energy? string? As I understand the theory, when an object accelerates, its time slows in proportion to its acceleration. Time dialation should act ( show up on meters? ) as if the object is gaining mass?

Without dividing 1/0 and assuming c=max limit, why no time dilation as required by e=mc^2?
I'm not entirely sure of what you're asking...but here's my best attempt:





First, time dilation shows up at ALL speeds...at small speeds, we simply don't notice them because their effects are too small.





Time dilation and other relativistic effects are all really the same thing. For example, if you were to travel in a spaceship to another planet and then get back, you will have aged less than someone on earth because of time dilation. However, to you, what is happening is the distance between the Earth and the distant planet is contracted. Thus, you will be able to make that journey in the reduced amount of time.





Also, time does not slow in proportion to acceleration. It slows in proportion to the relative velocities between the two different frames of references.





It wouldn't make much sense to have time dilation to "act as if the object is gaining mass"...the units simply don't work out...mass has no time dependence. Rather, they are all connected to one thing: the lorentz factor.
Reply:Time dilation does show up at high speeds; fast mesons take noticeably longer to decay than slow ones. It is the speed, not the acceleration, that matters. You have to be going at nearly the speed of light to see the effect.
Reply:time dilation means the thing moving at high speed will observe time to travel slower. so say for a person in a rocket moving at speed v with respect to a stationary observer. this stationary observer measures a time interval of t.





then the time measured by an astronaut in the moving rocket will be a smaller value.





more specifically, the value measured by the astransout equal t divided by gamma





where gamma = 1/ [root of ( 1- v^2/c^2)]


where c is speed of light.





when the object is moving fast, it will seem to have a larger mass as opposed to its rest mass.

forsythia