quote:

*Originally posted by Razak*

I think the uncertanity principal will create problems to mesure such a speed.

It would create problems in directly measuring such a speed, but the effects of there being a minimum speed limit would probably be visible even at scales that we can observe, even though those effects might be indirect.

Suppose that the minimum speed limit is a speed that we designate V(0). Suppose, for the sake of argument, that the smallest measurable speed is actually 100 time V(0), thus it is clear that we can never actually measure the difference between V(0) and zero velocity.

Suppose we have 4 objects that we can observe, and each of them are subject to the same minimum speed limit. We will label these objects A through D, and their respective speeds as V(A) through V(D).

What are the minimum speeds that these objects can move at?

If we arbitrarily use object A as a baseline to work from, then we will arbitrarily assume that V(A) is actually zero speed relative to our reference, because it is actually designated as the reference for everything else.

Since object B cannot be travelling less than V(0) relative to the speed of V(A), then

` V(B) >= V(A) + V(0).`

Since object C cannot be travelling slower than V(0) relative to either A or B, therefore either

` V(C) >= V(B) + V(0)`

>= V(A) + 2 * V(0)

or

` V(C) <= V(A) - V(0)`

Similarly, if V(C) >= V(A) + 2 * V(0) then either

` V(D) >= V(C) + V(0)`

>= V(A) + 3 * V(0)

or

` V(D) <= V(A) - V(0)`

but if V(C) <= V(A) – V(0) then

` V(D) >= V(B) + V(0)`

>= V(A) + 2 * V(0)

or

` V(D) <= V(C) - V(0)`

<= V(A) - 2 * V(0)

Thus, with 4 objects, each object must occupy a unique speed that is and integral multiple of V(0) (this must be so, because if any of the two objects are travelling at the same speed, then there will be another object within the system with which they are at rest with, and thus violating the notion of a minimum speed limit); and the fastest of the objects must be travelling at a minimum speed (for a 4 object system) of twice the minimum speed limit (i.e. it must be travelling at least at V(A) +/- 2 * V(0))..

If one now has a system composed of 1000 objects, then the fastest of these objects must be travelling at a speed of at least V(A) +/- 500 * V(0). Since we can measure any speed of at least 100 * V(0), so it is clear that the fastest of these objects must be travelling at a clearly measurable speed (in fact 80% of the objects must be travelling at a clearly measurable speed); and we can say that in this system, it would be impossible for these object to travel any slower than these speeds, no matter what one does to the system.

**G***eorge*