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David -

You ask "how can the frame of reference be smaller than the universe?"
I really do not understand yet where you are heading with your line of questions. You originally suggested a frame of reference and you said it was not to be larger than the universe. I accepted this premice, but have no knowledge about the frame of reference to which you refer, so I am unable to answer your question. Could you please be more explicit about your frame of reference, what are its properties, what function do you want it to serve, where do you want it to live ... etc. then perhaps you can tell me how it can or cannot be smaller than the universe.

You also asked: "Will the origin of this frame be within the universe?" I don't know, it is your frame, where would you like its origin to be?

Sid
_________________
"To know even one atom fully would imply knowledge of its relations to all other phenomena in the infinite universe." - The Dalai Lama

Food for thought:

"Regardless of different personal views about science, no credible understanding of the natural world or our human existence…can ignore the basic insights of theories as key as evolution, relativity, and quantum mechanics." - The Dalai Lama
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