Sunday, April 22, 2007

Classical Unified Field Theory

This is for any folks at Cosmic Variance who might make their way here after my brief conversation with Mark:

Mark said:
As someone intimately acquainted with the Einstein static universe, I don’t see any relevance to the post at all

So I'm left with an argument from ignorance:

If I were to reply to Mark, I'd say this:
You would have to actually do what I said needs to be done, in order to see the relevance, Mark, because things work-out a bit differently when the background changes every time that you make a particle from the rarefied mass energy that IS Einstein's dark energy, but you can also get it from the first post on my blog, where you or anyone else that doesn't immediately qualify themselves as a crackpot is welcome to read and review all linked threads and comments before explaining to me why I should let this go, because nobody has ever given me any good reason to think that I should not do exactly what I do to provoke the justified look.

Somebody please take this to my blog and fix what is wrong with my observations. Course, you won't be the first physicist that will have to admit that the mechanism is already known to work in inflationary theories, so be prepared to do some *real* splainin... no handwaving allowed. Don't do what this guy did, in other words, or you have only proven that you don't have a clue what is being said and why. This guy's mistake is to assume that I haven't taken the well supported aspects quantum theory into account, so he'll never be able to realize that this, (still unchallenged physics), doesn't overturn anything that is right with quantum field theory, rather, it fills in the gap, and fixes what isn't right with gravity theory, albeit greatly simplified.

Which brings us to this:

What did Einstein do in the last thirty years of his career?

Einstein's "Wasted" Effort

When the equivalent of Maxwell's equations for electromagnetism is formulated within the framework of Einstein's theory of general relativity, the electromagnetic field energy (being equivalent to mass as one would expect from Einstein's famous equation E=mc^2) contributes to the stress tensor and thus to the curvature of space-time, which is the general-relativistic representation of the gravitational field; or putting it another way, certain configurations of curved space-time incorporate effects of an electromagnetic field. This suggests that a purely geometric theory ought to treat these two fields as different aspects of the same basic phenomenon. However, ordinary Riemannian geometry is unable to describe the properties of the electromagnetic field as a purely geometric phenomenon.

Einstein tried to form a generalized theory of gravitation that would unify the gravitational and electromagnetic forces (and perhaps others), guided by a belief in a single origin for the entire set of physical laws. These attempts initially concentrated on additional geometric notions such as vierbeins and "distant parallelism", but eventually centered around treating both the metric tensor and the affine connection as fundamental fields. (Because they are not independent, the metric-affine theory was somewhat complicated.) In general relativity, these fields are symmetric (in the matrix sense), but since antisymmetry seemed essential for electromagnetism, the symmetry requirement was relaxed for one or both fields. Einstein's proposed unified-field equations (fundamental laws of physics) were generally derived from a variational principle expressed in terms of the Riemann curvature tensor for the presumed space-time manifold.

In field theories of this kind, particles appear as limited regions in space-time in which the field strength or the energy density are particularly high. Einstein and coworker Leopold Infeld managed to demonstrate that, in Einstein's ultimate theory of the unified field, true singularities of the field did have trajectories resembling point particles. However, singularities are places where the equations break down, and Einstein believed that in an ultimate theory the laws should apply everywhere, with particles being soliton-like solutions to the (highly nonlinear) field equations. Further, the large-scale topology of the universe should impose restrictions on the solutions, such as quantization or discrete symmetries.

Einstein became increasingly isolated in his research on a generalized theory of gravitation, and most physicists consider his attempts ultimately unsuccessful.

Eddington thought that the cosmological constant version of the general-relativistic field equation expressed the property that the universe was "self-gauging".

Eddington considered that in the Einstein field equations for general relativity the stress-energy tensor Tμν, which represents matter/energy, was merely provisional, and that in a truly unified theory the source term would automatically arise as some aspect of the free-space field equations. He also shared the hope that an improved fundamental theory would explain why the two elementary particles then known (proton and electron) have quite different masses.

See also; Gönner, 2005

Is it just a coincidence that all of the anthropic ecobalances that make-up the goldilocks enigma are also "self-regulating"... just like every other known ecosystem is?

Like the flatness of the universe, in Einstein's static model, G=0 when gravitational pressure is absolutely offset by negative vacuum pressure.

He brought in the cosmological constant to counterbalance the runaway recollapse effect that occurs in this model because of the obvious fact that we do have matter, but in order to get rho>0 from Einstein's matter-less spacetime structure, you have to condense the matter density from the zero pressure metric, and in doing so the pressure of the vacuum necessarily becomes less than zero, P<0, which causes expansion.

*Note that the mass-density of the background changes every time that you do this.

Einstein didn't introduce the counter-balancing cosmological constant with matter generation from the vacuum in mind, so he didn't like it, because without this knowledge he naturally concluded that it added an undesirable extra entity, so the logic that was used to reject the cosmological constant when it was discovered that the universe is expanding was sound in context with the knowledge of the time, but this is not the case given knowledge that the vacuum has real, massive, particle potential.

It is plainly evident from this that most natural way to create new matter in Einstein's model, ("the most compatible with the spirit of general relativity"), also holds it flat and stable, (it is "self-guaging"), so any other conclusions that have been made since Einstein abandoned his finite universe without this knowledge are therefore subject to suspect review!

This does not conflict with quantum field theory. As with QFT, the normal distribution of energy does not contribute to particle creation. You have to condense or compress the energy down over a finite enough region of space to attain the matter density in before the virtual pair can be made real.

So where does it go from here?... if we are unable to disprove Einstein's finite closed spherical universe, given this "new-light" on the subject?... which no honest physicists has ever even tried to do, because they also recognize this as the same mechanism that gets used in modern inflationary models to generate mass at a great expense to negative pressure.

This physics predicts a higgs mechanism, but no higgs boson, which isn't to say that the playing field hasn't already been narrowed significantly in recent tests done by the smaller particle accelerators as the confidence level for this result climbs.