As per your request on my blog.
1 What 'really' occurs (assuming it does) we cannot know. We are trapped in a loop of sensory detection, which, given certain practical problems with that, we can enhance, scientifically, by hypothecation based on validated direct experience (ie that is indirect sensory experience). All the machinations post receipt at the sensory organ are irrelevant (ie observation, brain, etc). What we need to establish is1) what physically existent phenomena were received, 2) what physically existent phenomena (the reality) was involved in the instigation of that which we received. Physical existence is what occurs as at any point in time.
2 Measured reality is the calibration of what exists. There are no absolutes, any judgement must use a reference. That does not alter what physically existed. Any reference of any given type can be used.
3 There are more than three dimensions, there are half the number of possible directions that the smallest elementary particle could next move from any given spatial point. There is no chronological dimension in a physically existent reality, because timing is associated with the change between them, not of one. I do not understand the other item.
4 SR, as defined by Einstein, involves:
-no gravitational forces
-only motion that is uniform rectilinear and non-rotary (which is in effect, stillness)
-fixed shape bodies at rest (no dimension alteration)
-light which travels in straight lines at a constant speed (no curvature)
5 Mathematical numbers are representational devices (as are words or graphics), they must correspond to existent phenomena, being intrinsically valid is not enough. Hence as you say zero is a 'problem', but there can be none of something in a circumstance.
6 Realities can be distinguished from each other in terms of 1) substance (ie what it was), 2) order (ie order of occurrence), 3) frequency (ie the rate at which differences occur.
7 Time does not physically exist, there is only timing. There is no physically existent state which corresponds with the concept. Timing compares rates of change, per se, ie one to another. It involves comparison of the sheer number of change occurrences. That is, the number of changes irrespective of type which occurred in any given sequence, compared to any other number that occurred meanwhile. The latter could be in any sequence (including the former), and either have occurred concurrently, or otherwise. For example, with a quartz device, the number of crystal oscillations is being counted whilst some other number of changes occurs. Expression of the result in terms of days, etc, being merely indicative of fossilised language, as the first 'clock' was earth movement.
8 Space does not physically exist, physically existent states do. It is a concept prompted by the fact that physical existence involves relative 'presence', in the sense of shape and size, which can be conceptualised as the 'occupation' of 'space'.