Re: Books
- From: BottleBob <bottlbob@xxxxxxxxxxxxx>
- Date: Mon, 23 Feb 2009 17:23:26 -0800
Cliff wrote:
On Sun, 22 Feb 2009 05:37:33 -0800, BottleBob <bottlbob@xxxxxxxxxxxxx> wrote:
Cliff wrote:On Sat, 21 Feb 2009 21:07:35 -0800, BottleBob <bottlbob@xxxxxxxxxxxxx> wrote:Cliff:
Well, there ARE seemingly irreconcilable discrepancies between General Relativity and Quantum Mechanics.Name them.
Are you being intentionally obtuse or is this an example of that "Bait & Tackle" business of yours you mentioned? LOL
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http://en.wikipedia.org/wiki/Quantum_gravity
Inconsistencies arise when one tries to join the quantum laws with general relativity, a more elaborate description of spacetime which incorporates gravitation. Resolving these inconsistencies has been a major goal of twentieth- and twenty-first-century physics. Many prominent physicists, including Stephen Hawking, have labored in the attempt to discover a "Grand Unification Theory" that combines not only different models of subatomic physics, but also derives the universe's four forces—the strong force, electromagnetism, weak force, and gravity— from a single force or phenomenon.
Much of the difficulty in merging these theories at all energy scales comes from the different assumptions that these theories make on how the universe works. Quantum field theory depends on particle fields embedded in the flat space-time of special relativity. General relativity models gravity as a curvature within space-time that changes as a gravitational mass moves. Historically, the most obvious way of combining the two (such as treating gravity as simply another particle field) ran quickly into what is known as the renormalization problem. In the old-fashioned understanding of renormalization, gravity particles would attract each other and adding together all of the interactions results in many infinite values which cannot easily be canceled out mathematically to yield sensible, finite results. This is in contrast with quantum electrodynamics where, while the series still do not converge, the interactions sometimes evaluate to infinite results, but those are few enough in number to be removable via renormalization.
Points of tension:
There are two other points of tension between quantum mechanics and general relativity.
First, classical general relativity breaks down at singularities, and quantum mechanics becomes inconsistent with general relativity in the neighborhood of singularities (however, no one is certain that classical general relativity applies near singularities in the first place).
Second, it is not clear how to determine the gravitational field of a particle, since under the Heisenberg uncertainty principle of quantum mechanics its location and velocity cannot be known with certainty. The resolution of these points may come from a better understanding of general relativity[4].
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Where are the "irreconcilable discrepancies"?
Cliff:
You're starting to worry me, you seem to be having trouble lately parsing complete sentences and paragraphs. Let me list some of the discrepancies above in a condensed format.
1. Quantum theory depends on flat space-time - General Relativity uses curved space-time.
2. QM & GR become inconsistent near singularities.
3. The gravitational field of a quantum particle is hard to determine under Heisenberg's uncertainty principle.
Have you informed such as Stephen Hawking?
You're kidding, right? Hawking is one of the ones uncovering discrepancies between QM & GR.
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http://www.dhushara.com/book/quantcos/meta/meta.htm
Hawking showed that quantum effects might cause black holes to radiate away energy-and therefore mass-until they eventually evaporate. He summed up his finding with the phrase "Black holes ain't so black." Because a black hole represents, at least in principle, a record of the processes that created it, its evaporation results in a permanent loss of information. The past, in a sense, is eradicated. Hawking proclaimed, and many theorists agreed, that he had uncovered a paradox that could be resolved only by modifying either quantum mechanics or general relativity.
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http://www.nature.com/ki/journal/v62/n5/images/4493262f1b.gif
Ahh yes. More silliness to fill in the gaps I see. LOL
--
BottleBob
http://home.earthlink.net/~bottlbob
.
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