Would you say physics would equate asymptotic time that we all experience with that of some local time reference?
''Asymptotic time'' is the time we all experience, as the here and now. In a sense, instead of applying time to one observer, asymptotic time is the time we all come to agree on.
Can you restate your original post maybe with a bit more detail. I am having trouble understanding the question
Yes, I suppose. What's the point of this? I don't know how to define time globally, in a non-flat space-time.
The point of the question, relys on the theory i am creating right now on consciousness. If we experience a local time where every asymtptotic reference creates a dimension of reality, then this reality cannot go without such a discription where; \(\int_{t_0}^{t_1} \Lambda dx\) for a global translation and \(\int_{t_0}^{t_1} \Gamma dx\) for a local translation.
Because you're making up definitions to preexisting words, you're making up random equations and you having a theory of consciousness is about as likely as me being the King of Prussia.