'Something can’t come from nothing.' This is true. Otherwise we'd better give up logic and reasoning.
You know this empirical world we perceive is the effect of our five senses and mind. You might have felt that we, humans, are not better than some creatures in the case of certain perception.
The reality must be something else; we can certainly say so. Sometimes the empirical world may be meaningless. Theories will not be applicable after a certain level.
You know imagination is a creation of our mind. The imagination about the moment -- t-1, is just a creation of your/our present thought. Reality may not be so. This thought is because of the mindset that is deeply rooted in Mathematics. Or more frankly speaking, it is the limitation of our logic. Please don't believe that logic is everything.
Also, to 'experience' time, there must be a change in something; at least in your/our thought.
If there is a changeless thing or where/when there is no time (or when there is nothing), you cannot connect the two ideas -- time and infinite. The word, 'period' -- a by-product of time, will also disappear. And the net result, the term -- 'an infinite period of time', becomes meaningless. You know that something that does not manifest (infinite period of time) cannot pass by either.