I am very unsure as to weather or not the answer will have any meaning at all or even if there is an answer. If there is an answer I expect it will be nonsensical much like other divergent series assigned unintuitive values. It is certainly possible that there is no summation method applicable...
Interesting article, this is a very sensitive subject up to interpretation. I felt after reading about divergent sums with assignable values that this was an immediate extension, bosonic string theory makes use of the analytic continuation of the natural number sum
and QFT use renormalization...
That's what I'm trying to get at, there are several methods to assign values to divergent sums, I've looked through Hardy's divergent Series but its not explicit on which method to use for which series. I need the infinite product in terms of integrals, I know it involves factorials so maybe the...
simply put, objects with mass cannot be accelerated to exactly the speed of light as the Lorentz factor will diverge to infinity. If you take the Maclaurin expansion of the Lorentz factor
And then allow the velocity of the object to hypothetically be equal to the speed of light or let B=1
then...