so velocity has a limit, the speed of light; and since accerleration is just the differentiation of velocity, does this mean there is a limit to how fast an object can accelerate? ~ and for ms^-3 and ms^-4?

 

and were there a limit, would that mean there is a limit to the integration to distance? a limit to the size of the universe?

so velocity has a limit, the speed of light; and since accerleration is just the differentiation of velocity, does this mean there is a limit to how fast an object can accelerate?

I wouldn´t think so. The maximum change in speed a particle can have is 2c (c left to c right). Let´s make in c for simplification (massive particles could reach the 2c only asymtotically which complicates the treatment without giving any new insight - 1c is already sufficient here). Assuming a constant acceleration a which works over a time t, the change in velocity is a*t which shall be < c:

a*t < c

This equation can be satisfied for any acceleration -no matter how much- if just t is sufficient small, namely

t < c/a

There is no limit to accelerate as long as u have velocity < c

 

But as v -> c, acceleration becomes zero,

 

This is on the basis of the equation,

 

a= v * (sqrt(1-v^2/c^2)) / Delta(T)

what do you guys think of the idea of discreet units of time? could that be possible (as opposed to a continuous continuum of time)? because if there was, i guess there would be a limit to how sufficiently small t is.

The discrete units of time is already being discussed over here:

http://www.scienceforums.net/forums/showthread.php?t=20199

I wouldn´t think so. The maximum change in speed a particle can have is 2c (c left to c right).

I am not sure of this. I think in this case:

 

c - - c = c

 

Not sure.

 

EDIT: Thinking some more. I am pretty sure I was wrong. Oops.

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