Prince James:
Thanks for the scientific mind compliment. I try. As regards Einstein and Godel, the former was rather sidelined by QM, and the latter did have psychological problems later on. I could dig up a couple of links, but best if you DYOR.
The problem with at the same instance is that you're already assuming a kind of mental ruler, a length of "time" made up of successive instants, and then you use this as an argument for the mental ruler.
I know it sounds trite, but: In space. If nothing had ever moved, including light, the concept of space evaporates. Electrons, photons, atoms, etc would be immobile, so there would be no concept of time. Morever if they had never moved they'd all be in the same place so there would be no concept of space either. I see space as something real because of c. There's "nothing there", but something prevents infinite motion, so space is in a way a kind of aether. Whilst the Michelson-Morley experiment disproved the traditional view of an aether, the constant c led to special relativity and the variability of time experience according to velocity. Whilst there's the length contraction as well, c is the fundamental constant, so expressing it as distance over time is defining it using the things it defines. That's why I say velocity is more fundamental than time. It's like c, it's units are its units, whatever you want to call them. I rather like "degrees", as per temperature, which is after all a measure of motion. We tend not to think of temperature as fundamental so maybe it's better if I relate to a "particle". Its mass is a fundamental property, and I can measure its momentum. Since momentum is (traditionally) mass times velocity, that suggests velocity is a fundamental property as well. You can't find any "time" when you look at the properties of the particle, especially a massless photon. But the momentum's there, so is the velocity. The latter has the same dimensions as c, and it's a dimension in the generic "measure" sense. But it's not a Dimension in the sense of something you can move through, because it is the moving through.
Sorry if I've rather repeated the essay here and this doesn't convince. Please press me on any point.
baumgarten: that's interesting. I know I'm not the first to come up with this sort of thing. Well I do now. I didn't a month or so ago. Duh.
Thanks for the scientific mind compliment. I try. As regards Einstein and Godel, the former was rather sidelined by QM, and the latter did have psychological problems later on. I could dig up a couple of links, but best if you DYOR.
The problem with at the same instance is that you're already assuming a kind of mental ruler, a length of "time" made up of successive instants, and then you use this as an argument for the mental ruler.
Well let us ask this: If motion is fundamental and not time, where resides the "principle of motion" in space? Or rather perhaps "the dimension of motion" in space? For whereas one can indeed look at time as essentially a dimensional quality (although it is wrong to construe it similar in all ways to length or width) it would seem that motion lacks that quality.
I know it sounds trite, but: In space. If nothing had ever moved, including light, the concept of space evaporates. Electrons, photons, atoms, etc would be immobile, so there would be no concept of time. Morever if they had never moved they'd all be in the same place so there would be no concept of space either. I see space as something real because of c. There's "nothing there", but something prevents infinite motion, so space is in a way a kind of aether. Whilst the Michelson-Morley experiment disproved the traditional view of an aether, the constant c led to special relativity and the variability of time experience according to velocity. Whilst there's the length contraction as well, c is the fundamental constant, so expressing it as distance over time is defining it using the things it defines. That's why I say velocity is more fundamental than time. It's like c, it's units are its units, whatever you want to call them. I rather like "degrees", as per temperature, which is after all a measure of motion. We tend not to think of temperature as fundamental so maybe it's better if I relate to a "particle". Its mass is a fundamental property, and I can measure its momentum. Since momentum is (traditionally) mass times velocity, that suggests velocity is a fundamental property as well. You can't find any "time" when you look at the properties of the particle, especially a massless photon. But the momentum's there, so is the velocity. The latter has the same dimensions as c, and it's a dimension in the generic "measure" sense. But it's not a Dimension in the sense of something you can move through, because it is the moving through.
Sorry if I've rather repeated the essay here and this doesn't convince. Please press me on any point.
baumgarten: that's interesting. I know I'm not the first to come up with this sort of thing. Well I do now. I didn't a month or so ago. Duh.