I have been struggling with the ether. I am still not understanding how it applies to the gauge theories or to the lack thereof. Just when I seem about to grasp it, the connection vanishes. I think I need to start over........
Paul points out that the equivalence principle (EP), in its original form, was supposed to have shown that the gravitational field could be 'gauged away', and, thereby, obviating the need for an ether. This is the standard, MTW, view of gravity.
However, on further examination by Paul and a few other skeptics, the EP was found to be seriously deficient in this regard. Especially, now, with Paul's newly discovered decomposition of the Levi-Civita connection, one of the compenents is found to contain (only?) first order derivatives, and so is not 'gaugable'.
So far, so good. But does this particular L-CCC thereby constitute, just by itself, a mathematical expression for the long sought Ether? Or are there significantly more logical steps necessary to flesh out a theory of the Ether?
Regardless of the answer to this question, I am skeptical that there can be any such formula for the true Aether. This question may be formulated as follows.........
I suspect there may be two ethers, and that Paul and I are after different game. His is the physicists' ether, and mine is the philosophers' aether. Nay, mine is, perhaps, more akin to the philosophers' stone.
IMHO, the crux of this difference lies in the 'substance' of Occasionalism.......
Occasionalism has to do with spooky-action-at-a-distance (SAaD). It's like Saab, but with less chromium.
This problem came to the fore, historically, when Newton virtually disowned his own theory, due to its SAaD.
However, historically, gravity is not the usual venue for occasionalism. The usual venue is much more prosaic. It is the flame and the cotton ball.......
In fact, Hume's famous skepticism concerning the efficacy of causation was copped directly from the arguments of the Islamists, going back to the 9th century...... http://en.wikipedia.org/wiki/Occasionalism#Hume.27s_arguments.2C_Berkeley_and_Leibniz
IOW, there is no such thing as an efficient cause. God is the initial and final cause of all that is. There are no middle-men. There are no demi-urges. So sorry!
My buddy, Gottfried, far more that Hume, took occasionalism, and ran with it. His only deficiency was his failure to grasp the CTC. Felix culpa!
Ok, that was just a quick jog down memory lane. Back to the ether, by way of proximity, e.g. post hoc ergo propter hoc.... a curious fallacy, in itself.
11am-------
OMG, I think I must be an Averroist (from wiki).......
1.) there is one truth, but there are (at least) two ways to reach it: through philosophy and through religion
2.) the world is eternal
3.) the soul is divided into two parts: one individual, and one divine
4.) the individual soul is not eternal
5.) all humans at the basic level share one and the same intellect (a form of monopsychism)
6.) resurrection of the dead
With the following caveats.......
#2) From God's perspective, but not ours.
#4) From our perspective, but not God's.
And that's all, folks. That's all she wrote.
Monopsychism is a term that, strangely, had not previously occurred to me. It should be a key feature of the BPWH. That single word defuses much of my struggle with free-will. Free-will is subsumed within free-Will, if you will. God's free-will consists mainly in her ability to reason. So much for strong AI.
noon------
Now, back to ether vs. aether, and how we may endeavor to subsume the former within the latter........
The pivotal figure, in this regard, is, of course, Newton and his theory of gravity. From a philosophical point of view, his theory was a scandal, a sociological fact that we find hard to comprehend, retrospectively. This has to do with SA@D.
Those early moderns were very comfortable with Aristotle's four causes...... material, formal, efficient and final. The culprit here is #3, efficient cause. Efficacy, here, is usually understood in the context of propinquity, in the mechanical sense.
Clearly, gravity was not that. Gravity was SA@D.
All of theoretical physics since Newton may be understood as an attempt to make make gravity less SA@D. This is where Paul and his LCCdC come into the picture.
First, we must take a slight detour with Maxwell's demon.......
His demon should properly be seen as anticipating the quantum measurement problem (QMP), at the crux of our struggle with the continuities vs. discontinuities of nature.
Maxwell's wave equation had to be reconciled with Einstein's photoelectric effect.
But then we get into the problem of quantum gravity and gauge theory. And even before that, we may need to take a look at advanced and retarded potentials, or, more specifically, with the Wheeler-Feynman absorber solution of Maxwell's equations.
At the same time, we will need to KIM the two Feynman pictures of QM, point interactions vs sum over histories, with the latter leading to Jakir's theory of weak measurements. And surely we will not forget the EPR problem.
In all of these cases, we are seeing a recurrence of the problem of efficient causation vs. SA@D. This is showing us why we may have to reconsider occasionalism, or why efficient cause is a convenient fiction.
IMHO, the only way out of these time paradoxes is to invoke a CTC based cosmology, which is tantamount to a robust/rationalized (weak-measurement based) occasionalism, which also helps to explain Averroes temporal confusion wrt his #2 and #4 theses, above.
2pm---------
What I don't yet see with sufficient clarity is how Paul's LCCdC may or may not contribute to a CTC cosmology (CTCC).
Off the top, the CTCC solves the IR problem, by rationalizing a long-wave cutoff of longitudinal photons. Hey, it's a start!
So far, the eucharist is nowhere in sight..... or is it? Nor is any form of substantiation anywhere in sight.
4:30---------
Here are some things I do not understand.......
1.) We used to suppose we could gauge-away gravity, in accord with the EP, yet.....
2.) .... with QED, we, in effect, gauge-in the vector potential, by using it to offset the effects of a local symmetry breaking of the quantum phases, i.e. the U(1) symmetry, a-la Emmy Noether.
I would like to have a better intuitive grasp of the connection between #1 and #2. Might Paul's LCCdC shed any light on this?
6:40-------
Paul quotes the Newtonians as agreeing that gravity could not propagate through a vacuum. What then was it propagating through, if not a very insubstantial ether?
But, now, with EPR, we have a more severe problem, where quantum entanglement 'propagates' instaneously, and very selectively. It is more accurate to suggest the EPR simply does away with space. It collapses space. This is much more radical that simply postulating a space-filling ether.
With EPR, physics becomes radically non-local. Our best acquaintance with such non-locality may be found wrt our own thoughts. EPR, then, is the closest thing to a bridge between the ether and the aether.
(cont.)
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