(I'm a mathematician actually. This is my first question on this site. So please go easy on me if it's a trivial matter or mistake)
Lately I've been thinking about special relativity.
The thought came to my mind.
First consider the following paradox:
Considering a mass oscillating with infinite velocity between two walls. Now we can see that it is present everywhere at the same time between the line of motion. i.e. we can treat it as if it is an rod.
Now this can be seen in special relativity setting:
We have a particle which is oscillating with velocity $c$ ( lights speed) in above configuration. (Our eye can't trace it's motion as due to it's limiting speed $c$.)
Now by special relativity the relativistic mass is
So if $v=c$ and for finite rest mass $m_0$ the relativistic mass $m$ diverges.
Now of $m_0=0$ (photon) and $v=c$ expression becomes $0/0$ which could be finite.
So, the rod could successfully thought of as a oscillating photon with different limit of $ 0/0 $ than that of light.
So, every mass could be replaced by such phenomenon.
Only problem is exact limit of $0/0$ as we don't know more variables.
Is this argument valid or I'm just missing something very trivial here which I don't know or imagined. Please help?
(Nicola Tesla's "everything is light")