this is a fairly subtle question.
if the bike was simply a 10kg object moving at 10m/s, then the KE would be KE = 0.5*m*v^2 = 0.5*(10kg)*(10m/s)^2 = 500 J
but there is also rotational KE in the motion of the tires, which depends on their moment of inertia and radius.
but as you didn't...
"quantum theory and relativity both depend on "observers" "
no - they don't.
the rest of your post is philosophy/metaphysics... so, you should probably post those parts in the philosophy forum...
good luck!