You should read up on the ten axioms of a vector space, and learn the
subgroups with the operator multiplication that has 1 as an identity and
addition that has 0 as an identity, then tell me what the identity for time
is before you try to tell anyone about your knowledge of mathematics, let
alone your logic in confusing the set of real numbers with time.
Not only that, but you have not even attempted to give a derivation for the
angle A, merely pulled it out of a hat. What is the physical analogue of A
that you are trying to show?