Say that we have a 3 dimensional coordinate system that represents points in space. On this we then assign an infinite number of points that represent the rate that time passes at that point. This has to be a snapshot since particles are not stationary and the movement of such particles will alter the values at each point. So that we can only represent this situation if we freeze time. Is this why we cannot reconcile general relativity with quantum mechanics?Are you mixing up the model and the modeled?
You specify an infinite amount of points and they are presumably in a finite area.So if the system has an origin in New York then there will be a finite space relative to it (the origin) in .eg Alpha Centauri (or anywhere else ,obviously) ,say 1 millimetre cubed and it will have an infinite amount of points.
Are there an infinite amount of particles corresponding to each of these points in this millimetre cubed space ?
Or can we say that there are an infinite amount of "particles" potentially to be found in that space and any potential particle can be assigned a position (following some methodology) to any one of the infinite amount of co ordinate positions found in that finite millimetre cubed space?
Do the infinite number of points on your co-ordinate system correspond to particles or potential particles?
In GR ,as I understand these points general correspond to space-time events. Is that the same thing or a different model entirely?
PS we have no way of formatting text on this site?