I've always wondered about a place where time had > 1 dimensions, it would surely allow for some strange things to happen (e.g. something appearing out of nowhe

I've always wondered about a place where time had > 1 dimensions, it would surely allow for some strange things to happen (e.g. something appearing out of nowhere when it's time "vector" crosses my time vector")? How do we know that we only have one time dimension in our reality anyway?