For ideal conditions, such as are found in interstellar space, the speeds of warp factors (WF) are calculated using either of two formulae :

Up to Warp 9 :

V/c = WF^(10/3)

Where V is ship's velocity, and c is the speed of light (electromagnetic energy)

Beyond Warp 9 the formula becomes somewhat more complex.
It is best approximated by :

V/c = WF^[<(10/3)+a*(-Ln(10-WF))^n>+f1*((WF-9)^5)+f2*((WF-9)^11)]

Where a is the subspace field density, n is the electromagnetic flux, and f1 and f2 are the Cochrane refraction and reflection indexes respectively. Under ideal conditions values of a = 0.00264320, n = 2.87926700, f1 = 0.06274120 and f2 = 0.32574600 can be expected within a "normal" area of deep interstellar space.

An object at warp 10 travels at infinite speed, occupying all points in the universe simultaneously.


Discuss.