The present moment will go away when the next moment arrives. You state in the following paragraph that the past doesn't exist; if that's so, then the present moment will cease to exist once it becomes the past.Aren't we just Begging the Question by saying that the present moment has arrived? Why couldn't we just as easily assume it never left? Since when does the present moment go anywhere?
I don't see any proof of time being anything more than an idea, or an invention of the mind. By definition, the past and future don't exist.