All of u are going too much beyond our scope .
Ok, I can point out two theories which are contradicting involving the very concept of the direction of time .
Yes , they are 2nd Law of thermodynamics & Maxwell,s eqn of electrodynamics.
2nd law states that entropy increases with time . ( according to Hawking it is because time itself is measued in the direction of increasing entropy . !!!! )
So if I want to reverse the arrow of time 2 nd law would no longer hold . So thermodynamics says that time has only one direction .
Now if u solve maxwell's wave eqn U WILL GET TWO SOLNS IN ONE OF WHICH THE WAVE MOVES BACKWARD IN TIME . Now generally this part of soln is neglected because it is considered to be ' UNPHYSICAL '. But , never mind ,this soln is COMPLETELY CONSISTENT WITH MAXWELL'S EQN .
In fact this backward moving wave was used by Feynmann ( Of course , the original one !!!!!!!!!!! ) himself in explaining the radiation reaction of electron .
Now tell me what to do ?