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spacetime is "granular"
time and space are both continuous in nature.
As far as I am aware, the general feeling is that they must both be either quantized or continuous, but there is no firm evidence either way.
While energy may be quantised, time and space are both continuous in nature. The nature of indeterminacy means this has to be the case. Since you cannot make an absolutely accurate measurement of a space or time interval. It is not quantised.
Well these are interesting questions (and it is helpful not to suffer misconceptions vis a vis what has already been established as a working model) but asking these questions is akin to asking "what will we have for supper" when there is no food in the house.Observation can be expected to precede (useful ) theory and these observations are (hopefully) a work in progress </statement of the bleeding obvious >
Since you cannot make an absolutely accurate measurement of a space or time interval. It is not quantised.
Therefore the quanta, if they exist, are impossible to measure.
Quote Therefore the quanta, if they exist, are impossible to measure. It was the "if they exist" that I was wondering about. I have no problem with "impossible to measure"; therefore' in the present state of our knowledge, they might as well not exist. Does that qualify as keeping an open mind to the point where one's brain falls out?
You cannot verify a negative assertion. God does not exist...
You mentioned Plank time. Considering the implications of that raises some interesting thoughts. For example, if this is defined as the smallest interval of time that has any meaning, beyond which it is not possible to further sub-divide time, then, surely, we must regard this as the quantum of time. However, even 10-43 s has a duration, at least, in principle. That being the case, it must be possible to attribute a degree of change, during that period, to any object in relative motion; otherwise that object would be stationary. Defining an object as being, at once, moving and stationary does seem somewhat contradictory.