Treacherous Ground
I spent Sunday solo hiking 8 km to Mauna Ulu and back. The ground here is extremely treacherous. The flows of this surrrealistic landscape hide thousands of hollow lava tubes. One wrong step and you could fall right through. Experiences like this are a reminder that life is as fragile. How was your day?
posted by L. Riofrio at 9:30 PM
4 Comments:
Since R is a single dimension, while r includes 3 dimensions, it should be distinct. So can I suppose that your theory implies that space should have 4 dimensions instead of 3?
Can this have anything to do with the fact that particle theorists always include an extra gamma matrix, \gamma_5, which acts just like an extra spatial gamma matrix? (They avoid calling it \gamma_4 in order to avoid confusion with 1..4 type descriptions of 1+3 dimensional spacetime. This makes the gamma matrices use indices 0..3 plus 5.)
And does this suggest that T needs to be thought of as different from t? So T is the age of the universe for the observer, while t is the time coordinate for the event that the observer is contemplating.
Carl,
On dimensions D. R. Lunsford (a wannabe Mars visiting astronaut!) is correct. There is a time dimension for each distance dimension. That's the correct, true spacetime correspondence!
See his peer-reviewed unification of EM and gravity based on SO(3,3) at http://doc.cern.ch//archive/electronic/other/ext/ext-2003-090.pdf. It was deleted from arXiv which is moderated by people like Professor Jacques Distler.
Notice that three expanding time dimensions predict gravity accurately (see my home page, top banner and link) and the observed cosmic expansion without requiring dark energy. (Redshift of gauge bosons exchanged between receding masses in a big bang cuts out quantum gravity strength G over large distances, which is the error of GR which doesn't take this into account and instead "compensates" by adding in a cosmological constant powered by magical dark energy.) Lunsford's unification is more abstract than my dynamics, but reaches an identical conclusion on a key test: the cosmological constant is zero.
The distance-like dimensions describe matter which is contractable. (Time dilation is a local phenomena that comes in from distance contraction, because the spacetime ratio of distance/time = c, so a contraction in distance causes time-dilation. In GR, the average 3-d contraction radially around a mass is (1/3)MG/c^2 = 1.5 mm as Feynman showed which in the same was as the FitzGerald contraction of moving bodies, produces gravitational time-dilation.)
Every effort to do anything politely leads to Prof. Jacques Distler sneering that I need to study more tensors or something else, which I already know. He makes totally irrelevant (personal) comments.
If he gave a proof and I responded by ignoring it and sneering that he needs to learn more of something that isn't used in the proof, he'd probably be offended.
(The problem is that if I or you take offense too easily to veiled insults, he can claim I don't want his advice and he is only trying to help, and so on.)
It isn't a question of trying to insult people or to allow others to turn a scientific discussion into a personal one (much as they want to do that, because it is easier for them to ignore the facts and make personal comments).
You can't expect to get Jacques to listen. Traditionally what happens are the following 3 stages:
‘(1). The idea is nonsense.
‘(2). Somebody thought of it before you did.
‘(3). We believed it all the time.’
- Professor R.A. Lyttleton's summary of inexcusable censorship (quoted by Sir Fred Hoyle in ‘Home is Where the Wind Blows’ Oxford University Press, 1997, p154).
That is how things occur.
“If you have got anything new, in substance or in method, and want to propagate it rapidly, you need not expect anything but hindrance from the old practitioner - even though he sat at the feet of Faraday... beetles could do that... he is very disinclined to disturb his ancient prejudices. But only give him plenty of rope, and when the new views have become fashionably current, he may find it worth his while to adopt them, though, perhaps, in a somewhat sneaking manner, not unmixed with bluster, and make believe he knew all about it when he was a little boy!”
- Oliver Heaviside, “Electromagnetic Theory Vol. 1″, p337, 1893.
HI Carl and Nigel: I've been working with 4 dimensions, but there may be more than meets the eye. I would like to be walking a volcano on Mars too, but we do the best we can. It is discouraging if arxiv is moderated by dismissers and deleters, but we plug along. The good news is that ideas do get accepted.
It is actually very funny to hear a theoretical physicist say that one cannot even talk about radical cosmologies without knowing what the Big Theory is...er, isn't that what we've all been doing for decades?
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