Re: If we had a Renormalizable Theory of Gravitation,What Broad Features
- From: Uncle Al <UncleAl0@xxxxxxxxxxxxx>
- Date: Tue, 26 Sep 2006 20:25:54 +0000 (UTC)
sr wrote:
Chris H. Fleming wrote:
> Shouldn't it be said that QFT in curved space time is
> fully covariant with respect to the fields, only not
> with our notions of particle?
Probably. (That's one reason I used the word
"controversial" earlier.)
> The field theory is fully covariant. The particle content
> is not and cannot be. But is that a problem with the
> theory or is it a problem with our hangup on particles?
Indeed. But... first let me ask you... which formulation of
QFT in curved spacetime do you have in mind, i.e: which
textbook or whatever?
Why the infatuation with curved spacetime? Metric, affine, and
teleparallel gravitations are broadly indistinguishable in prediction
and all correspond to observed reality within experimental error.
Spacetime torsion is as valid as spacetime curvature. In fact, it's
better for having fewer failures and being disjointly testable:
1) Earth's day lengthens by 0.023 msec/year causing lunar recession
of 3.84 cm/year. Symmetry of the Einstein curvature tensor and
contingent energy-momentum tensor prohibit exchange of spin and
orbital angular momenta in General Relativity. General Relativity is
empirically wrong.
http://en.wikipedia.org/wiki/Einstein-Cartan_theory
2) The patch is Einstein-Cartan theory with an affine connection to
lift symmetry. This also creates a chiral pseudoscalar vacuum
background. Space is a left foot if the Earth and moon are spin-orbit
coupled. Live with it..
3) Metaphoric left and right shoes of identical composition but
inverse geometries will not fit identically into left-footed space.
They will fit with different energies. The strongest constraint is
Parity Violating Energy Difference experiments that allow more than 10
parts-per-trillion divergence,
<http://www.mendcomm.org/pages/goodies/mc0303/pdf/mc1780.pdf>
Mendeleev Commun. 13(3) 129 (2003)(pdf)
Angew. Chem. Int. Ed. 41(24) 4618 (2003)
If identical composition opposite shoes are melted into
indistinguishable socks, the latent heat of melting/gram (enthalpy of
fusion) must be different given a chiral pseudoscalar vacuum
background,
http://www.mazepath.com/uncleal/shoes.png
For enantiomorphic space groups P3(1)21 and P3(2)21 benzil (mp = 95 C)
and 10^(-13) divergence (limit of Eotvos experiment sensitivity) we
expect an 8.99 J/g divergence or 8% relative divergence of enthalpy of
fusion textbook value. Calorimeters have typical 0.1% precision.
Cake walk.
http://www.mazepath.com/uncleal/lajos.htm#b4
It is an undergraduate experiment conducted over two days in two
differential scanning calorimeters and sensitive to 3x10(-18)
Equivalence Principle violation: 300,000 times more sensitive than the
best Eotvos balance in 1/45 the run time.
http://www.mazepath.com/uncleal/lajos.htm#b2
4) Opposite shoes will vacuum freefall along non-parallel minimum
action trajectories. They will violate the EP. Do they? The parity
Eotvos experiment opposes single crystal solid spheres of
enantiomorphic space groups P3(1)21 and P3(2)21 alpha-quartz.
Adelbeger has a wonderfully updated Eot-Wash page,
http://www.npl.washington.edu/eotwash/
and he remains staunchly committed to *never* investigating an EP
parity violation - the only EP violation consistent with existing
theory and the only EP violation *required* by lunar laser ranging
measurement of lunar orbital recession. Curious.
No composition Equivalence Principle violation experiment of any kind
has ever had a quantitiative prediction of divergence. Equivalence
Principle parity violation has a prediction of divergence. Unlike
composition experiments, EP parity violation is strongly supported by
predictive theory,
http://arxiv.org/abs/gr-qc/0608090
http://arxiv.org/abs/gr-qc/9309027
String Theory demands the Equivalence Principle. A reproducible EP
parity violation falsifies the achiral half of String Theory. How
much fun is that?
Somebody should look. It's only $100 in consummables, and $80 of that
is for a jug of denatured alcohol to recrystallize the benzil.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/qz3.pdf
.
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