@Fil Albuquerque,
Rather than change the definition of the words within it, why not just disagree with the theory?
If time had a beginning, something will have caused it to begin, as something cannot occur from nothing by my understanding. The laws that time are set within and by design momentum, cause time to continue moving. The law is the cause, another second is the effect? Of course you are welcome to stop me if I make no sense, I am but an amatuer on the subject.
If however I changed my definition of time to a cream bun, I would enjoy it far more.
I can't wrap my head around the logic that one minute there is nothing and the next, bingo bango you have a universe, with laws and structures etc, all of this without anything to cause it to be so. My trouble is that it takes a fair bit of faith to assume that nothing caused nothing to become everything merely because we cannot quantify the cause.
I may have misunderstood your question, but then that is unlikely to be a new phenomena