Does "simply move apart" imply motion in the common sense? Can something move without motion? — jgill
If we were to ask, from our perspective, what this means for the speed of this distant galaxy that we're only now observing, we'd conclude that this galaxy is receding from us well in excess of the speed of light. But in reality, not only is that galaxy not moving through the Universe at a relativistically impossible speed, but it's hardly moving at all! Instead of speeds exceeding 299,792 km/s (the speed of light in a vacuum), these galaxies are only moving through space at ~2% the speed of light or less.
But space itself is expanding, and that accounts for the overwhelming majority of the redshift we see. And space doesn't expand at a speed; it expands at a speed-per-unit-distance: a very different kind of rate. When you see numbers like 67 km/s/Mpc or 73 km/s/Mpc (the two most common values that cosmologists measure), these are speeds (km/s) per unit distance (Mpc, or about 3.3 million light-years).
The restriction that "nothing can move faster than light" only applies to the motion of objects through space. The rate at which space itself expands — this speed-per-unit-distance — has no physical bounds on its upper limit. — https://www.forbes.com/sites/startswithabang/2020/06/12/ask-ethan-how-does-the-fabric-of-spacetime-expand-faster-than-the-speed-of-light/?sh=1753c4723b5f
The very real problem, is your irrational worldview of the past, current and future efficacy of all scientific endeavours. — universeness
Again we see your lies. We all know we can assign point A and B and we can traverse the distance between them. You accept that demonstration but you will not accept that demonstration as proof that your statement of: — universeness
You can define "point A" and "point B" in any way that you please. But if you stray from the mathematical definition of "point", then you argue by equivocation, because problems of mathematics is what we are discussing here. Therefore your argument is bogus, and irrelevant, as being nothing but an equivocation fallacy. — Metaphysician Undercover
A point is a 0-dimensional mathematical object which can be specified in n-dimensional space using an n-tuple (x_1, x_2, ..., x_n) consisting of n coordinates. In dimensions greater than or equal to two, points are sometimes considered synonymous with vectors and so points in n-dimensional space are sometimes called n-vectors. Although the notion of a point is intuitively rather clear, the mathematical machinery used to deal with points and point-like objects can be surprisingly slippery. This difficulty was encountered by none other than Euclid himself who, in his Elements, gave the vague definition of a point as "that which has no part."
The basic geometric structures of higher dimensional geometry--the line, plane, space, and hyperspace--are all built up of infinite numbers of points arranged in particular ways.
These facts lead to the mathematical pun, "without geometry, life is pointless."
The decimal point in a decimal expansion is voiced as "point" in the United States, e.g., 3.1415 is voiced "three point one four one five," whereas a comma is used for this purpose in continental Europe. — https://mathworld.wolfram.com/Point.html
Your "demonstration" was very obviously an argument through equivocation, and therefore invalid. So I am still waiting for a proper rebuttal, something more substantial than a hurling of insults. — Metaphysician Undercover
The problem though, as I've read, is that this "moving apart" can be much faster than the speed of light. And since the motion of objects is limited by the speed of light in relativity theory, this "moving apart" cannot be categorized as motion, in order to avoid contradiction — Metaphysician Undercover
Yes. I stand corrected. The limits due to the speed of light seemed contradictory. It's difficult to imagine "nothing" expanding. It's an age of discovery and conjecture where our intuitions - formed by everyday experiences - must give way to a deeper reality in which math replaces direct sensations. And perhaps a newer, emerging math replaces that which has served so well up to this point. — jgill
And perhaps a newer, emerging math replaces that which has served so well up to this point. — jgill
Remember that the proposal that the edge of the universe may be expanding at a superluminal speed, is a 'relative' measure. The result comes out of consideration of speed 'relative to our position.' It is not an actual speed. If you were at the edge of the universe, you would not be travelling at a superluminal speed. — universeness
The more we learn about it, the more complicated the expansion of the universe seems to be. In the region near our galaxy, the expansion seems less rapid than for the universe as a whole. In fact, it appears that the combined gravitational pull of a very large cluster of galaxies in the constellation Virgo is actually retarding the local rate of expansion to half the rate for the universe as a whole. We're finding evidence of how gravity attracts even over distances of hundreds of millions of light years. Although there must be many very distant galaxies and quasars that we are not yet able to detect, astronomers have observed radiation from an even more remote source, literally at the edge of the observable universe. — https://history.nasa.gov/EP-177/ch4-9.html
because all speed is "relative", — Metaphysician Undercover
utter nonsense — Metaphysician Undercover
The result comes out of consideration of speed 'relative to our position.' It is not an actual speed. — universeness
Points and continuums, space and time . . . . . remain beyond complete understanding, although we manipulate them confidently. When I asked an old friend, an analytic number theorist, what he thinks of real analysis, he says, "It's very, very complicated and it starts with a metaphysical notion, points." — jgill
The speed of light is a universal constant you complete idiot!The speed of light is relative. — Metaphysician Undercover
I suppose you are going to argue that the speed of light is relative to nothing, and this makes it an actual speed rather than a relative speed? — Metaphysician Undercover
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