yoron
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I know, pretty hard to understand me when I'm not sure myself how to express it. A dynamical SpaceTime is something updating at 'c' to me. Dimensions is what we define it from (3+1). Now, if a phase space is a expression of a 'system', what creates the 'system'? Our definitions of a SpaceTime? Using SR local definitions rule this SpaceTime, from repeatable experiments to any measurement of 'c'. Although assuming any part of a volume of it to represent the same laws it shouldn't matter how you restrict your system, as all volumes/portions of a SpaceTime must be equivalent relative the laws, rules, constants, etc, existing. To me there are two ways of thinking of it, from what I call a 'container definition', which is the one in where we are 'joined' into one common SpaceTime. The other being a strict local definition, which to me also points to a discreteness to exist, as in 'quanta'. That's part of why I'm wondering about Smolins et al 'trinity' and the phase space it builds on.
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Both assumptions work, but with the one using 'quanta', scaling it up into our SpaceTime, you will need something that connects them to each other. and the way it connects is what interests me. Without a background 'locality' (as in scaling) becomes a natural choice to me, assuming a background I get a headache. I don't really use the classical definition of a local cause and effect, instead exchanging it for scales where 'locality' becomes whatever defines a quanta or locality, as well as the way Einsteins used your 'frame of reference) . The difference is one of something 'measurably defined to some position scaling' relative ones macroscopic definition of a clock and ruler. Two ways of looking at it there too.
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Both assumptions work, but with the one using 'quanta', scaling it up into our SpaceTime, you will need something that connects them to each other. and the way it connects is what interests me. Without a background 'locality' (as in scaling) becomes a natural choice to me, assuming a background I get a headache. I don't really use the classical definition of a local cause and effect, instead exchanging it for scales where 'locality' becomes whatever defines a quanta or locality, as well as the way Einsteins used your 'frame of reference) . The difference is one of something 'measurably defined to some position scaling' relative ones macroscopic definition of a clock and ruler. Two ways of looking at it there too.
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