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Science Forum Index » Physics - Research Forum » General Relativity and Euclidean Geometry
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| Guest |
Posted: Thu Feb 22, 2007 12:53 pm |
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Guy <guy.vandegrift@valpo.edu> wrote:
[...]
Quote: I have a question that has bothered me for a long time: My
understanding of quantum mechanics stops at the beginning of high
energy physics. I am only superficially aware of gluons, quarks, and
the strong or electroweak interactions.
What I want to know is the degree to which quantum mechanics at this
level is able to deal with the metric.
I know the gravitational field distorts the metric near the
singularity of a "point mass". Is there any reason not to assume that
intense fields of all types distort the metric at the very small
spatial dimensions?
The reason gravity can be described as a distortion of spacetime is that
it is "universal" -- every form of matter responds in the same way to a
gravitational field. This is not the case for other interactions, and
that pretty much rules out a metric description.
Consider electromagnetism, for example. Would a positively charge object
distort the metric in a way that causes other objects to move toward it,
or away from it? Neither answer works, since other positive charges are
repelled, negative charges are attracted, and neutral objects aren't
affected.
Now, of course, any interaction involves an exchange of energy, and that
energy gravitates. So in that sense, any field distorts spacetime. But
that's just an aspect of gravity; the same distribution of energy leads
to the same distortion of spacetime, regardless of what field it comes
from.
(There is a way around this, but it involves introducing extra dimensions.
In a five-dimensional spacetime, for example, electromagnetism can be
treated as a distortion of spacetime. The difference in the behavior of
positive and negative charges then comes from the fact that we are looking
only at lower-dimensional projections of their motion; the charge represents
momentum in a fifth, unobserved dimension, and different momenta lead to
different four-dimensional paths. Going to higher dimensions, one can
extend this to include the strong and weak interactions, though it turns
out to be very hard to get the right types of elementary particles. This
idea is called "Kaluza-Klein theory"; you should be able to find lots of
references.)
Steve Carlip |
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| Phillip Helbig---remove C |
Posted: Thu Feb 22, 2007 7:25 pm |
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Guest
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In article <erigp3$sv1$1@skeeter.ucdavis.edu>,
carlip-nospam@physics.ucdavis.edu writes:
Quote: Guy <guy.vandegrift@valpo.edu> wrote:
[...]
I have a question that has bothered me for a long time: My
understanding of quantum mechanics stops at the beginning of high
energy physics. I am only superficially aware of gluons, quarks, and
the strong or electroweak interactions.
What I want to know is the degree to which quantum mechanics at this
level is able to deal with the metric.
I know the gravitational field distorts the metric near the
singularity of a "point mass". Is there any reason not to assume that
intense fields of all types distort the metric at the very small
spatial dimensions?
The reason gravity can be described as a distortion of spacetime is that
it is "universal" -- every form of matter responds in the same way to a
gravitational field. This is not the case for other interactions, and
that pretty much rules out a metric description.
Consider electromagnetism, for example. Would a positively charge object
distort the metric in a way that causes other objects to move toward it,
or away from it? Neither answer works, since other positive charges are
repelled, negative charges are attracted, and neutral objects aren't
affected.
Nevertheless, unified field theory, a theory of everything, a GUT etc
seems to be the holy grail for many physicists. Could it be that REAL
unifications, such as electricity with magnetism, got the hopes up and
launched the unrealistic expectation that ALL forces could be unified?
Is there any reason not to believe that, at a very fundamental level,
there is no meaningful unification of gravity with the other forces?
Of course, some workable notion of quantum gravity is needed. However,
does that necessarily involve a unification of GR with QM, in the
traditional meaning of unification? |
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| Uncle Al |
Posted: Thu Feb 22, 2007 7:25 pm |
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Cephalobus_alienus@comcast.net wrote:
Quote:
On Feb 18, 3:54 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
GR's singular attribute is the long reach of its mathematical
simplicity (as these things go). Einstein-Cartan theory is a right
proper pisser to calculate and it must always give the exact same
answers... except it properly handles spin-orbit coupling and predicts
a substantial net signal from a parity calorimetry experiment.
Somebody should look.
This is a claim that you have made numerous times. Could you supply me
with
a reference to a peer-reviewed publication that demonstrates your
claimed
coupling between Einstein-Cartan gravitation and geometric parity mass
distribution? References to your web publications and/or to your
poster session
don't count.
Could you supply me with a reference to a peer-reviewed publication
that demonstrates General Reltivity can handle spin-orbit coupling?
It cannot - from the symmetry of its maths. General Relativity is
wrong.
General Relativity cannot describe spin-orbit coupling given
Riemannian geometry upon which GR is based. The Ricci curvature
tensor R_ab must be symmetric in a and b (R_ab = R_ba). The Einstein
curvature tensor G_ab = R_ab – (1/2)Rg_ab must be symmetric. The
Einstein curvature tensor models local gravitational forces. It is
equal (up to a gravitational constant) to the energy-momentum tensor
T_ab. Einstein curvature tensor symmetry forces the momentum tensor
to be symmetric. During spin-orbital angular momentum exchange the
momentum tensor is anti-symmetric given the general equation of
conservation of angular momentum,
(divergence of spin current) – (1/2)(T_ab – T_ba) = 0
General Relativity cannot be correct as formulated. All treatments
that allow for spin-orbit coupling also allow a chiral pseudoscalar
vacuum background. It is not subtle thing.
Could you supply me with a reference to a peer-reviewed publication
that demonstrates theoretical coupling between ANY observable in ANY
Equivalence Principle test since Galileo in the 16th century and a
theory of gravitation? NO theory of gravitation contains a
composition coupling. Credible classical or quantized theories of
gravitation are pure geometries. Why were so many EP experiments
performed with zero theoretical basis?
http://www.mazepath.com/uncleal/eotvos.htm#b21
Adelberger is the best in the business. Adelberger is committed to
repeating the same unproductive experiments and will not innovate.
Fellas, if there is nothing to be seen in theory and in practice then
looking harder will still find nothing,
<http://www.npl.washington.edu/eotwash/experiments/equivalencePrinciple/epFuture.html>
You self-righteously argue that a fast and inexpensive observation not
be made because it cannot possibly result in an unanticipated result
given accepted theory. Otto Stern measured the proton's magnetic
moment though Pauli could calculate it more accurately from the
electron's magnetic moment. The Stern-Gerlach experiment did not
observe an undifferentiated continum of smear at its far end. Yang
and Lee completely overturned established theory. Which of those
experiments were not based in angular momentum?
Gravitation theories are disjoint in matters of angular momentum,
includingh GR adn Einstein-Cartan theory, string theory embracing the
BRST formalism. Quantitative geometric parity divergence, CHI, is
tightly coupled to moments of inertia of 100% of its rest mass,
CHI = (d)[Min_{P,R,t}D^2]/4T
J. Math. Phys. 40(9) 4587 (1999)
CHI is globally minimum for all rotations "R" and translations "t" for
all correspondences "P" permitted by the colors and/or graph. "d" is
the Euclidean dimension, "D^2" is the sum of the "N" squared-distances
between the set and its parity inversion for a fixed pairwise
correspondence with coincident centers of mass, and "T" is the
geometric inertia of the set. Gravitation is blind to all physical
properties with units. There are no colors. There is only the graph
of mass distribution.
The only untried EP challenge is geometric. The only EP test that has
an EP violation consistent with orthodox theory is geometric. The
only allowed EP violation of a measurable amplitude consistent with
prior observation is EP parity violation by chemically identical
opposite geometric parity test masses. The smallest emergent scale
upon which opposite parity mass distributions may be built is atomic
positions within a periodic crystal lattice.
You express mortal dread of the parity calorimetry experiment and the
parity Eotvos experiment, and well that you should. Two days in an
analytical chemistry lab could falsify ALL of physics, mechanics to
string theory and QFT too, without any contradiction of prior
observation in any venue at any scale. Either the parity experiments
null SOP or you all exposed as being stubborn fools. The former
result is no big deal and the latter is too delicious to ignore.
A Thiele-Dennis tube is growing large perfect benzil crystals,
http://www.sciencekit.com/images/250/62/S6240900.JPG
http://wardsci.com/images/100/172141webM.JPG
glassware
J. Appl. Cryst. 4 333 (1971)
Be afraid, be very afraid.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2 |
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| Guest |
Posted: Fri Feb 23, 2007 4:37 pm |
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On Feb 22, 11:25 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
Quote: Cephalobus_alie...@comcast.net wrote:
This is a claim that you have made numerous times. Could you
supply me with a reference to a peer-reviewed publication that
demonstrates your claimed coupling between Einstein-Cartan
gravitation and geometric parity mass distribution? References
to your web publications and/or to your poster session don't
count.
Could you supply me with a reference to a peer-reviewed
publication that demonstrates General Reltivity can handle
spin-orbit coupling? It cannot - from the symmetry of its maths.
General Relativity is wrong.
That is not the point in dispute. You are attempting to change the
subject.
My point is, I can -easily- find multiple peer-reviewed references
on Einstein-Cartan, affine, teleparallel and other alternative
theories of gravitation which mathematically predict a coupling
between gravitation and angular momentum, whether it be in the
form of physical rotation, or of spin. These same publications
provide plausible estimates of the magnitude of said coupling,
such that the feasibility of experimental detection may be
evaluated.
On the other hand, there are -zero- peer-reviewed references
that predict differential coupling between these alternative
theories of gravitation and opposite geometric parity masses.
Opposite geometric parity masses do not exhibit opposite angular
momenta. There is no basis for your claim that differential
coupling should exist.
Quote: General Relativity cannot describe spin-orbit coupling given
Riemannian geometry upon which GR is based. The Ricci curvature
tensor R_ab must be symmetric in a and b (R_ab = R_ba). The Einstein
curvature tensor G_ab = R_ab - (1/2)Rg_ab must be symmetric. The
Einstein curvature tensor models local gravitational forces. It is
equal (up to a gravitational constant) to the energy-momentum tensor
T_ab. Einstein curvature tensor symmetry forces the momentum tensor
to be symmetric. During spin-orbital angular momentum exchange the
momentum tensor is anti-symmetric given the general equation of
conservation of angular momentum,
(divergence of spin current) - (1/2)(T_ab - T_ba) = 0
General Relativity cannot be correct as formulated. All treatments
that allow for spin-orbit coupling also allow a chiral pseudoscalar
vacuum background. It is not subtle thing.
Could you supply me with a reference to a peer-reviewed publication
that demonstrates theoretical coupling between ANY observable in ANY
Equivalence Principle test since Galileo in the 16th century and a
theory of gravitation? NO theory of gravitation contains a
composition coupling.
That is a manifestly false statement. Extra-dimensional models,
starting with Kaluza-Klein as the simplest case and including such
models as superstring theory, in general predict non-metric
couplings with matter. These couplings would be the result of
scalar partners to the graviton (dilatons, moduli), which couple
differentially with different matter fields. For example,
dilatonic fields couple with gauge bosons but not other forms
of mass-energy. Since different atoms exhibit different amounts
of binding energy, dilatonic coupling would predict that differing
compositions of matter should fall differently.
For certain classes of gravitation theory, equivalence principle
violation should be quite pronounced. For example, the current
sensitivity of equivalence principle tests suffice to rule out
most variants of superstring theory.
Quote: Credible classical or quantized theories of gravitation are pure
geometries. Why were so many EP experiments performed with zero
theoretical basis?
That is precisely what I ask of you. As I have outlined above,
compositional tests of the equivalence principle have considerable
theoretical justification.
Your proposed test using opposite geometric parity test masses
has none. Indeed, for your experiment to work, several basic
conservation laws must be violated. Local conservation of energy
is a fairly difficult conservation law to argue against.
Quote: http://www.mazepath.com/uncleal/eotvos.htm#b21
Adelberger is the best in the business. Adelberger is committed
to repeating the same unproductive experiments and will not
innovate. Fellas, if there is nothing to be seen in theory and
in practice then looking harder will still find nothing,
http://www.npl.washington.edu/eotwash/experiments/equivalencePrincipl...
You self-righteously argue that a fast and inexpensive observation
not be made because it cannot possibly result in an unanticipated
result given accepted theory. Otto Stern measured the proton's
magnetic moment though Pauli could calculate it more accurately
from the electron's magnetic moment. The Stern-Gerlach experiment
did not observe an undifferentiated continum of smear at its far
end. Yang and Lee completely overturned established theory.
Which of those experiments were not based in angular momentum?
You are attempting to rewrite history.
Otto Stern didn't perform his experiments in a theoretical vacuum.
The prevalent model of the atom at the time was the Bohr model,
which indicated that atoms as composite structures should exhibit
quantized angular momentum. Stern asked whether individual
particles such as electrons might also exhibit intrinsic angular
momentum, which might possibly be indicative of deeper levels of
structure. The impact of his experiment was, of course, enormous.
Neither did Chien-Shiung Wu perform her experiment in any sort
of theoretical vacuum. She was friends with Yang and Lee. When
they published their paper predicting possible parity violation
in beta decay, she quickly set out to test their proposal.
http://ccreweb.org/documents/parity/parity.html#Lee%20and%20Yang
Quote: Gravitation theories are disjoint in matters of angular momentum,
includingh GR adn Einstein-Cartan theory, string theory embracing
the BRST formalism. Quantitative geometric parity divergence,
CHI, is tightly coupled to moments of inertia of 100% of its rest
mass,
CHI = (d)[Min_{P,R,t}D^2]/4T
J. Math. Phys. 40(9) 4587 (1999)
CHI is globally minimum for all rotations "R" and translations
"t" for all correspondences "P" permitted by the colors and/or
graph. "d" is the Euclidean dimension, "D^2" is the sum of the
"N" squared-distances between the set and its parity inversion
for a fixed pairwise correspondence with coincident centers of
mass, and "T" is the geometric inertia of the set. Gravitation
is blind to all physical properties with units. There are no
colors. There is only the graph of mass distribution.
The only untried EP challenge is geometric. The only EP test
that has an EP violation consistent with orthodox theory is
geometric. The only allowed EP violation of a measurable
amplitude consistent with prior observation is EP parity
violation by chemically identical opposite geometric parity
test masses. The smallest emergent scale upon which opposite
parity mass distributions may be built is atomic positions
within a periodic crystal lattice.
Again, opposite geometric parity mass distribution does not
equate with opposite angular momentum.
Quote: You express mortal dread of the parity calorimetry experiment
and the parity Eotvos experiment, and well that you should.
Why should I be afraid of what is essentially pure nonsense?
Quote: Two days in an analytical chemistry lab could falsify ALL of
physics, mechanics to string theory and QFT too, without any
contradiction of prior observation in any venue at any scale.
Either the parity experiments null SOP or you all exposed as
being stubborn fools. The former result is no big deal and the
latter is too delicious to ignore.
A Thiele-Dennis tube is growing large perfect benzil crystals,
http://www.sciencekit.com/images/250/62/S6240900.JPGhttp://wardsci.com/images/100/172141webM.JPG
glassware
J. Appl. Cryst. 4 333 (1971)
Be afraid, be very afraid.
Jerry |
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| Thomas Johnson |
Posted: Fri Feb 23, 2007 4:37 pm |
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Guest
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On Feb 21, 1:48 pm, Cephalobus_alie...@comcast.net wrote:
Quote: On Feb 18, 3:54 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
GR's singular attribute is the long reach of its mathematical
simplicity (as these things go). Einstein-Cartan theory is a right
proper pisser to calculate and it must always give the exact same
answers... except it properly handles spin-orbit coupling and predicts
a substantial net signal from a parity calorimetry experiment.
Somebody should look.
This is a claim that you have made numerous times. Could you supply me
with
a reference to a peer-reviewed publication that demonstrates your
claimed
coupling between Einstein-Cartan gravitation and geometric parity mass
distribution? References to your web publications and/or to your
poster session
don't count.
Thanks,
Jerry
Jerry,
he appears to be using Wikipedia as his primary source on Einstein-
Cartan theory.
http://en.wikipedia.org/wiki/Einstein-Cartan_theory
If it isn't there, don't expect him to present it here.
He has also "predicted" outcomes for an Eotvos test based on his CHI
calculations--again without substance.
Thomas. |
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| Uncle Al |
Posted: Mon Feb 26, 2007 12:43 pm |
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Guest
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Cephalobus_alienus@comcast.net wrote:
Quote:
On Feb 22, 11:25 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
Cephalobus_alie...@comcast.net wrote:
This is a claim that you have made numerous times. Could you
supply me with a reference to a peer-reviewed publication that
demonstrates your claimed coupling between Einstein-Cartan
gravitation and geometric parity mass distribution? References
to your web publications and/or to your poster session don't
count.
Could you supply me with a reference to a peer-reviewed
publication that demonstrates General Reltivity can handle
spin-orbit coupling? It cannot - from the symmetry of its maths.
General Relativity is wrong.
That is not the point in dispute. You are attempting to change the
subject.
My point is, I can -easily- find multiple peer-reviewed references
on Einstein-Cartan, affine, teleparallel and other alternative
theories of gravitation which mathematically predict a coupling
between gravitation and angular momentum, whether it be in the
form of physical rotation, or of spin. These same publications
provide plausible estimates of the magnitude of said coupling,
such that the feasibility of experimental detection may be
evaluated.
On the other hand, there are -zero- peer-reviewed references
that predict differential coupling between these alternative
theories of gravitation and opposite geometric parity masses.
Opposite geometric parity masses do not exhibit opposite angular
momenta. There is no basis for your claim that differential
coupling should exist.
Normalized quantitative geometric parity divergence, CHI, is directly
calculable from a chiral test mass' three inertial moments given the
maximal case of CHI->1/DSI=0/COR=1, below. Moments of inertia are
angular momentum. if you wish to dispute this, provide a case in
which non-zero angular momentum occurs without moments of inertia. As
gravitation does not quantize, make that a classical case. Uncle Al
is targetting classical gravitation theories.
Gravitational physics is blind to interdisciplinary input. Its maths
cannot be so isolated. Load the grinder, turn the handle, see what
fills the sausage casing:
Orthodox theories of gravitation with parity-odd mathematical symmetry
that support EP divergence vs. angular momentum must
diastereotopically act upon parity-divergent mass distributions - a
left foot being fit by left and right shoes. The form of the maths
cannot be evaded. Chiral (circularly polarized) light is not affected
because geometic chirality requires a minimum of four points in rigid
configuration 3-space. Sense of helicity is strictly point of view.
A chiral mass distribution need not be parity-divergent: 2(1), 4(2),
and 6(3) screw axes in Sohncke crystallographic space groups. A
parity divergent mass distribution in general need not be maximally
parity divergent,
http://petitjeanmichel.free.fr/itoweb.download.qcm.readme
bottom; cases of DSI>0, COR>1. The [6.6]chiralane 27-carbon skeleton
is exactly CHI=1/DSI=0/COR=1 but the C27H28 molecule is
CHI=0.982423/DSI=0/COR=1
Quantitative geometric parity diverence of a mass distribution is
intimately coupled to its moments of inertia,
J. Math. Phys. 40(9) 4587 (1999)
J. Math. Phys. 43( 4147 (2002)
http://petitjeanmichel.free.fr/itoweb.petitjean.html
http://www.mdpi.net/entropy/papers/e5030271.pdf
http://www.cim.mcgill.ca/~damian/644B_project/
Compt. Rend. Acad. Sci. (Paris), serie IIc, 4(5) 331 (2001)
J. Math. Chem. 22(2-4) 185 (1997)
J. Math. Chem. 23 429 (1998)
Cr. Acad. Sci. II C 2(1) 25 (1999)
Comput Math. Appl. 34(11) 105 (1997)
J. Math. Chem. 17(2-3) 185 (1995)
Can. J. Chem. 78(1) 41 (2000)
It is shown by rigorous QCM calculation that chiral periodic crystal
lattices examined *rapidly* asymptote with increasing radius
(certainly by a hundred included atoms) to either CHI=1 or CHI=0.
There is nothing in-between. Cases with CHI->1/DSI=0/COR=1 are
maximally parity divergent. In this specific case CHI is directly
calculable from the test masses' three inertial moments. QCM will
calculate ~1100 points in 8-12 CPU-hours. Given QCM
CHI->1/DSI=0/COR=1, BigCHI will do 30 million points/CPU-second and
CHIpir will do ~40 million points/(processor CPU-second) in an Opteron
cluster. The results,
http://www.mazepath.com/uncleal/qzdense.png
http://www.mazepath.com/uncleal/bzdense.png
http://www.mazepath.com/uncleal/tedense.png
have theoretical slope -2 exactly, with intercept being modeled with
only the screw axis angle.
log(1-CHI)= -2[log(radius)] + [(180-alpha) (pi)/60] - pi
"alpha" is the smallest vertex angle in the helix. The distorted
tetrahedral O-Si-O helix angle is 110.56 degrees vs. arccos(-1/3)
undistorted. It slightly varies across x-ray and neutron diffraction
structure determinations, suggesting the model applied to a perfect
lattice is very accurate indeed.
That is *not* noise. That is true CHI fluctuation with radius as the
moments of inertia of the included solid sphere of crystal lattice
fluctuate. Zooming in with denser sampling does not flatten it,
http://www.mazepath.com/uncleal/comborad.png
Same samping increments
http://www.mazepath.com/uncleal/combofm1.png
Sampling increment scaled to give equal fluctuation frequencies
http://www.mazepath.com/uncleal/combofm2.png
The fitted radial increment vs. fluctuation frequency model
We've looked at about 18 chiral crystal lattices. One of three
observations obtained:
1) CHI -> 0
1) CHI -> 1, the model works accurate within about 10%, or
2) the assigned crystal structure was wrong and later revised
(three examples)
Crystal lattice data is always consistent with space group assignment,
itself arising out of mass distribution symmetry. We are at a loss to
explain how the model can detect a self-consistent net error for a
trifling shift of data values. The divergence between modeled graphic
intercept and explicitly calculated intercept is mammoth for incorrect
space group assignments, yet improved data typically shift atom
coordinates by only 0.01 A. The new space group is not
parity-divergent.
Substantially jiggling atom positions in a parity-divergent lattice
but preserving the space group does not adversely affect CHI->1.
http://www.mazepath.com/uncleal/eotvos.htm#b31
and following
Changing unit cell dimensions but not symmetry changes helix angle and
graph slope. Nothing falls out of register.
[snip]
Quote: Could you supply me with a reference to a peer-reviewed publication
that demonstrates theoretical coupling between ANY observable in ANY
Equivalence Principle test since Galileo in the 16th century and a
theory of gravitation? NO theory of gravitation contains a
composition coupling.
That is a manifestly false statement. Extra-dimensional models,
starting with Kaluza-Klein as the simplest case and including such
models as superstring theory, in general predict non-metric
couplings with matter. These couplings would be the result of
scalar partners to the graviton (dilatons, moduli), which couple
differentially with different matter fields. For example,
dilatonic fields couple with gauge bosons but not other forms
of mass-energy. Since different atoms exhibit different amounts
of binding energy, dilatonic coupling would predict that differing
compositions of matter should fall differently.
Theory can predict anything to any desired sensitivity either directly
or by sneaking up on it (renormalization, Taylor series, Yukawa
potential...) There is no empirical composition-gravitation coupling
to 10^(-13) difference/average. Strong field binary pulsar data
http://arxiv.org/abs/astro-ph/0609417
confirm General Relativity to within an uncertainty of 0.0005
relative. If physical reality contains an EP violation, the only EP
violation consistent with prior observation and of contemporary
measurable amplitude is an EP parity violation: parity calorimetry
(diasterotopic chiral vacuum insertion energy plus EP-parity
violation) or a parity Eotvos experiment (EP-parity violation alone).
THERE IS NO RATIONALE THAT FAVORS 420+ YEARS OF NULL RESULTS OVER
PERFORMING A NEW QUANTITATIVE VARIABLE EXERCISED TO DETECT EP
VIOLATION. The worst an EP-parity test can do is null, and that is
the standard of excellence for all experiments in the field.
Quote: Your proposed test using opposite geometric parity test masses
has none. Indeed, for your experiment to work, several basic
conservation laws must be violated. Local conservation of energy
is a fairly difficult conservation law to argue against.
Only conservation of angular momentum is affected, and then only for
opposite parity mass distributions, and then only at ~10^(-12)
relative maximum amplitude. Conservation of energy in a local closed
system exactly obtains when one includes diastereotopic vacuum
insertion energy and EP parity violation. No energy can be cyclicly
extracted from or lost from the system. Energy divergence from
manipulating opposite parity test masses must be exactly balanced by
equal and opposite energy divergence of setting them up. This is
called a "Born-Haber" cycle, of which you are apparently ignorant.
A chiral pseudoscalar vacuum background is anisotropic space.
Noether's theorem then does not couple to give conservation of angular
momentum for opposite parity test masses, and all of physics is
empirically falsified - gravitation, quantum field theory, string
theory... and mechanics at the founding postulate level.
1) Noether's theorem does not apply to parity because it is an
uncompromisingly discontinuous symmetry.
2) The parity special case and its divergence amplitude do not
contradict any prior observation in any venue at any scale, particle
physics to cosmology. Maximally opposite parity mass distributions do
not naturally occur nor have they been synthetically examined. It
could happen.
3) Minerals are chiral (quartz, topaz) but rigorously racemic by
observation - no net result. Biology is homochiral but L-amino acids
(meat) are nicely canceled by D-sugars (wood). There is no chiral
Nordtvedt effect by observation.
4) Chiral mass distributions need not be largely parity-divergent.
Maximal parity divergence requires identical moments of inertia (e.g.,
point groups T, O, I). That does not happen in consequential natural
chiral masses. Single crystal quartz pebbles, for instance, have
flawed lattices (amorphous volumes, disinclinations; electrical
(Dauphine) twinning, optical (Brazil) twinning) and are racemic summed
over natural occurances.
[snip]
Neither null or non-null outcomes are constrained by theory or prior
observation. The only way to know is to look,
http://www.mazepath.com/uncleal/lajos.htm#a2
To say we should not look at a $100 consummables experiment when
$250,000 experiments are routinely performed to expected null results
is obscene. Of what are you afraid - success? Failure is the figure
of merit since the 1500s. I personally guarantee at least that as net
output. Absolutely and without disambiguation! An EP parity
calorimetry experiment and an EP parity Eotvos test will at the very
least exactly null. The relevant question is idiot simple: Will they
not null?
Do left and right hands vacuum free fall identically? You don't
know. Nobody does. Somebody should look.
(What makes CHI the pertinent measure of quantitative geometric parity
divergence? If you do not like ab initio, go semi-empirical to get
the same answer,
Chem. Mater. 15 464 (2003)
Acta Cryst. B60 163--173 (2004)
There isn't anything else that is quantitative and calculable,
http://www.mdpi.net/entropy/papers/e5030271.pdf
Many very good folks have sweated over it. Nothing else has come
forth.)
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2 |
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| Richard Saam |
Posted: Tue Feb 27, 2007 12:53 pm |
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Uncle Al wrote:
Quote: have theoretical slope -2 exactly, with intercept being modeled with
only the screw axis angle.
log(1-CHI)= -2[log(radius)] + [(180-alpha) (pi)/60] - pi
"alpha" is the smallest vertex angle in the helix.
For equation clarity:
Necessarily, 'CHI' & 'radius' are unitless numbers.
This is not self-evident with 'radius'
Is 'radius' an expression of some type of unitless ratio?
Richard |
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| Uncle Al |
Posted: Wed Feb 28, 2007 1:23 pm |
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Richard Saam wrote:
Quote:
Uncle Al wrote:
have theoretical slope -2 exactly, with intercept being modeled with
only the screw axis angle.
log(1-CHI)= -2[log(radius)] + [(180-alpha) (pi)/60] - pi
"alpha" is the smallest vertex angle in the helix.
For equation clarity:
Necessarily, 'CHI' & 'radius' are unitless numbers.
This is not self-evident with 'radius'
Is 'radius' an expression of some type of unitless ratio?
You can count atoms if you like,
http://www.mazepath.com/uncleal/qzsparse.png
Computer output is vs. radius. A overmuch giant composite unit cell
is grown and then overtrimmed to the sample radius. It makes no sense
in executing code to run 18+ decimal significant figures more than is
necessary (exact atom count).
http://bible.cc/matthew/7-5.htm
"Why beholdest thou the mote that is in thy brother's eye,
But considerest not the beam that is in thine own eye?"
Matt. vii. 3-5 ...
Chemically identical maximal opposite parity mass distributions either
obey or violate the Equivalence Principle thereby validating isotropic
or chiral pseudoscalar anistropic vacuum backgrounds, respectively.
Unless you can propose a different and conflicting ab initio
quantitative measure of mass distribution chirality you are naught but
a critic troll.
70-year old theory will support either empirical result: metric
gravitation and string theory demand the EP. Affine, teleparallel,
and non-commutative gravitations ignore the EP. Tell us why somebody
should not look at physical reality and thereafter cast one pile of
scrawl into the waste crock.
--
Uncle Al
http://www.mazepath.com/uncleal/
(Toxic URL! Unsafe for children and most mammals)
http://www.mazepath.com/uncleal/lajos.htm#a2 |
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| Guest |
Posted: Wed Feb 28, 2007 1:23 pm |
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On Feb 26, 4:43 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
Quote: Cephalobus_alie...@comcast.net wrote:
My point is, I can -easily- find multiple peer-reviewed references
on Einstein-Cartan, affine, teleparallel and other alternative
theories of gravitation which mathematically predict a coupling
between gravitation and angular momentum, whether it be in the
form of physical rotation, or of spin. These same publications
provide plausible estimates of the magnitude of said coupling,
such that the feasibility of experimental detection may be
evaluated.
On the other hand, there are -zero- peer-reviewed references
that predict differential coupling between these alternative
theories of gravitation and opposite geometric parity masses.
Opposite geometric parity masses do not exhibit opposite angular
momenta. There is no basis for your claim that differential
coupling should exist.
Normalized quantitative geometric parity divergence, CHI, is directly
calculable from a chiral test mass' three inertial moments given the
maximal case of CHI->1/DSI=0/COR=1, below. Moments of inertia are
angular momentum.
That is a totally false statement. A non-spinning mass, no matter
how large its moment of inertia, has zero angular momentum.
Quote: if you wish to dispute this, provide a case in which non-zero
angular momentum occurs without moments of inertia.
On the contrary, it is incumbent upon YOU to provide a case in
which a non-spinning mass exhibits rotational angular momentum.
Quote: As gravitation does not quantize, make that a classical case.
Uncle Al is targetting classical gravitation theories.
Gravitational physics is blind to interdisciplinary input. Its
maths cannot be so isolated. Load the grinder, turn the handle,
see what fills the sausage casing:
Orthodox theories of gravitation with parity-odd mathematical
symmetry that support EP divergence vs. angular momentum must
diastereotopically act upon parity-divergent mass distributions
- a left foot being fit by left and right shoes.
Proof by your assertion is not proof. I require you to back up
your statements by peer-reviewed mathematical demonstration,
WHICH DOES NOT EXIST, for the simple reason that it is false.
Quote: The form of the maths cannot be evaded. Chiral (circularly
polarized) light is not affected because geometic chirality
requires a minimum of four points in rigid configuration 3-space.
Sense of helicity is strictly point of view. A chiral mass
distribution need not be parity-divergent: 2(1), 4(2), and 6(3)
screw axes in Sohncke crystallographic space groups. A parity
divergent mass distribution in general need not be maximally
parity divergent,
http://petitjeanmichel.free.fr/itoweb.download.qcm.readme
bottom; cases of DSI>0, COR>1. The [6.6]chiralane 27-carbon skeleton
is exactly CHI=1/DSI=0/COR=1 but the C27H28 molecule is
CHI=0.982423/DSI=0/COR=1
Quantitative geometric parity diverence of a mass distribution is
intimately coupled to its moments of inertia,
J. Math. Phys. 40(9) 4587 (1999)
J. Math. Phys. 43(  4147 (2002)http://petitjeanmichel.free.fr/itoweb.petitjean.htmlhttp://www.mdpi.net/entropy/papers/e5030271.pdfhttp://www.cim.mcgill.ca/~damian/644B_project/
Compt. Rend. Acad. Sci. (Paris), serie IIc, 4(5) 331 (2001)
J. Math. Chem. 22(2-4) 185 (1997)
J. Math. Chem. 23 429 (1998)
Cr. Acad. Sci. II C 2(1) 25 (1999)
Comput Math. Appl. 34(11) 105 (1997)
J. Math. Chem. 17(2-3) 185 (1995)
Can. J. Chem. 78(1) 41 (2000)
It is shown by rigorous QCM calculation that chiral periodic crystal
lattices examined *rapidly* asymptote with increasing radius
(certainly by a hundred included atoms) to either CHI=1 or CHI=0.
There is nothing in-between. Cases with CHI->1/DSI=0/COR=1 are
maximally parity divergent. In this specific case CHI is directly
calculable from the test masses' three inertial moments. QCM will
calculate ~1100 points in 8-12 CPU-hours. Given QCM
CHI->1/DSI=0/COR=1, BigCHI will do 30 million points/CPU-second and
CHIpir will do ~40 million points/(processor CPU-second) in an Opteron
cluster. The results,
http://www.mazepath.com/uncleal/qzdense.pnghttp://www.mazepath.com/uncleal/bzdense.pnghttp://www.mazepath.com/uncleal/tedense.png
have theoretical slope -2 exactly, with intercept being modeled with
only the screw axis angle.
log(1-CHI)= -2[log(radius)] + [(180-alpha) (pi)/60] - pi
It is trivially demonstrable that CHI cannot be a proper metric for
quantifying the degree of chirality of a test mass for the purpose
of your experiment.
1) At suitably large aggregate scales, CHI is an intensive property,
not an extensive property. The CHI of a 1 gram tellurium test mass
is equal to the CHI computed for a 10 gram tellurium test mass
equals 1 to many decimal places. Are you claiming that the
anomalous force acting upon a 10 gram tellurium test mass must be
identical to the force acting upon a 1 gram mass?
2) A CHI computation does not recognize chiral density. CHI for
a 1 gram tellurium test mass equals the CHI computed for a 1 gram
quartz test mass equals the CHI computed for 1 gram crystal of
hemoglobin equals 1 to many decimal places. Are you saying that
the anomalous force acting on a 1 gram tellurium test mass must
be equal to the anomalous force acting upon a 1 gram quartz test
mass equals the anomalous force acting upon a 1 gram hemoglobin
crystal, despite the obviously large difference in chiral density
exhibited by these masses?
3) As a scalar variable, CHI has no room for the introduction of
spatial anisotropy. Benzil crystals are highly elongated. Are you
absolutely sure that a benzil needle dropped vertically through a
chiral gravitational field will fall identically with a needle
dropped horizontally? Why or why not?
4) In sum, Pettijohn's CHI is a hopelessly inadequate for
quantifying the chirality of test masses in your experiment. You
have spent years and many thousands of CPU hours in wasted effort.
Other measures of chiral density exist which would be far more
suitable for your purposes than CHI.
Quote: "alpha" is the smallest vertex angle in the helix. The distorted
tetrahedral O-Si-O helix angle is 110.56 degrees vs. arccos(-1/3)
undistorted. It slightly varies across x-ray and neutron
diffraction structure determinations, suggesting the model applied
to a perfect lattice is very accurate indeed.
That is *not* noise. That is true CHI fluctuation with radius as
the moments of inertia of the included solid sphere of crystal
lattice fluctuate. Zooming in with denser sampling does not
flatten it,
http://www.mazepath.com/uncleal/comborad.png
Same samping incrementshttp://www.mazepath.com/uncleal/combofm1.png
Sampling increment scaled to give equal fluctuation frequencieshttp://www.mazepath.com/uncleal/combofm2.png
The fitted radial increment vs. fluctuation frequency model
We've looked at about 18 chiral crystal lattices. One of three
observations obtained:
1) CHI -> 0
1) CHI -> 1, the model works accurate within about 10%, or
2) the assigned crystal structure was wrong and later revised
(three examples)
For the reasons outlined above, these are irrelevant observations.
I don't have time to respond to all of your comments. For the
moment, let me just snip the remainder. We will return to them
later.
<SNIP>
Jerry |
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| Thomas Johnson |
Posted: Fri Mar 02, 2007 10:00 am |
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On Feb 28, 3:23 pm, Uncle Al <Uncle...@hate.spam.net> wrote:
Quote: Richard Saam wrote:
Uncle Al wrote:
have theoretical slope -2 exactly, with intercept being modeled with
only the screw axis angle.
log(1-CHI)= -2[log(radius)] + [(180-alpha) (pi)/60] - pi
Taking the log of someything with units is usually a way to make big
mistakes.
Quote: "alpha" is the smallest vertex angle in the helix.
This isn't a "model". This is an equation you are stating matches the
data well.
Does your "model" predict anything of value?
Quote: For equation clarity:
Necessarily, 'CHI' & 'radius' are unitless numbers.
This is not self-evident with 'radius'
Is 'radius' an expression of some type of unitless ratio?
You can count atoms if you like,
http://www.mazepath.com/uncleal/qzsparse.png
Computer output is vs. radius. A overmuch giant composite unit cell
is grown and then overtrimmed to the sample radius. It makes no sense
in executing code to run 18+ decimal significant figures more than is
necessary (exact atom count).
Great. You can calculate something no one can or wants to measure. I
know you make a great deal out of how it isn't noise. There are ways
to show that. When you are dealing with floats, you compare compilers
and processors. Even that is useless--your measurement doesn't add
single atoms. Each datapoint represents a number of atoms added.
Again, these details are washed out by the fact that no one can or
wants to measure CHI in these meso- or macro-scopic materials.
Quote: http://bible.cc/matthew/7-5.htm
"Why beholdest thou the mote that is in thy brother's eye,
But considerest not the beam that is in thine own eye?"
Matt. vii. 3-5 ...
Chemically identical maximal opposite parity mass distributions either
obey or violate the Equivalence Principle thereby validating isotropic
or chiral pseudoscalar anistropic vacuum backgrounds, respectively.
Unless you can propose a different and conflicting ab initio
quantitative measure of mass distribution chirality you are naught but
a critic troll.
Odd that you accuse others of trolling.
Quote: 70-year old theory will support either empirical result: metric
gravitation and string theory demand the EP. Affine, teleparallel,
and non-commutative gravitations ignore the EP. Tell us why somebody
should not look at physical reality and thereafter cast one pile of
scrawl into the waste crock.
I'll do you one better---measure the damned crystals you already
have. Costs you nothing but an hour. Your explanation for the delay
is nonsense. You have always claimed that the experiments are robust
against imperfections.
DO IT. Maybe there is some fraction of the crystals that have the
correct structure. DO IT, it doesn't cost anything but a little
time. DO IT, why wait until next Christmas if this could put your
stake in the ground for what you (wrongly) claim could be a Nobel
Prize.
DO IT.
Stop talking. DO THE EXPERIMENT. REPORT THE RESULTS.
So far, all you have proven is that you like to talk about what you
may do.
Well, that and that you can read Wikipedia.
Thomas. |
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| Thomas Johnson |
Posted: Fri Mar 02, 2007 10:00 am |
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On Feb 28, 3:23 pm, Cephalobus_alie...@comcast.net wrote:
Quote: It is trivially demonstrable that CHI cannot be a proper metric for
quantifying the degree of chirality of a test mass for the purpose
of your experiment.
1) At suitably large aggregate scales, CHI is an intensive property,
not an extensive property. The CHI of a 1 gram tellurium test mass
is equal to the CHI computed for a 10 gram tellurium test mass
equals 1 to many decimal places. Are you claiming that the
anomalous force acting upon a 10 gram tellurium test mass must be
identical to the force acting upon a 1 gram mass?
2) A CHI computation does not recognize chiral density. CHI for
a 1 gram tellurium test mass equals the CHI computed for a 1 gram
quartz test mass equals the CHI computed for 1 gram crystal of
hemoglobin equals 1 to many decimal places. Are you saying that
the anomalous force acting on a 1 gram tellurium test mass must
be equal to the anomalous force acting upon a 1 gram quartz test
mass equals the anomalous force acting upon a 1 gram hemoglobin
crystal, despite the obviously large difference in chiral density
exhibited by these masses?
At the same time--Schwartz claims to be able to make a CHI=1 structure
out of balls. However, he claims this wouldn't work. No explanation
In the past he often made statements about how Te crystals would be
different than quartz.
I.e. he isn't very consistent.
Quote: 3) As a scalar variable, CHI has no room for the introduction of
spatial anisotropy. Benzil crystals are highly elongated. Are you
absolutely sure that a benzil needle dropped vertically through a
chiral gravitational field will fall identically with a needle
dropped horizontally? Why or why not?
4) In sum, Pettijohn's CHI is a hopelessly inadequate for
quantifying the chirality of test masses in your experiment. You
have spent years and many thousands of CPU hours in wasted effort.
Other measures of chiral density exist which would be far more
suitable for your purposes than CHI.
Another issue is that CHI doesn't recognize right-handed vs. left-
handed chiral crystals. CHI=1 in both cases.
Schwartz asserts that the EP violation is largest for RH vs. LH
crystals. I don't know what functional form for the masses inputs 1
for RH and 1 for LH and comes up with different answers for each.
Thomas. |
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| Richard Saam |
Posted: Fri Mar 02, 2007 10:00 am |
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Uncle Al wrote:
Quote: Richard Saam wrote:
Uncle Al wrote:
have theoretical slope -2 exactly, with intercept being modeled with
only the screw axis angle.
log(1-CHI)= -2[log(radius)] + [(180-alpha) (pi)/60] - pi
"alpha" is the smallest vertex angle in the helix.
For equation clarity:
Necessarily, 'CHI' & 'radius' are unitless numbers.
This is not self-evident with 'radius'
Is 'radius' an expression of some type of unitless ratio?
You can count atoms if you like,
http://www.mazepath.com/uncleal/qzsparse.png
Computer output is vs. radius. A overmuch giant composite unit cell
is grown and then overtrimmed to the sample radius. It makes no sense
in executing code to run 18+ decimal significant figures more than is
necessary (exact atom count).
http://bible.cc/matthew/7-5.htm
"Why beholdest thou the mote that is in thy brother's eye,
But considerest not the beam that is in thine own eye?"
Matt. vii. 3-5 ...
The beam is extremely large,
but the requirement of lattice momentum
in the context of lattice geometry is assumed at all cost.
Richard D. Saam |
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| Guest |
Posted: Sat Mar 03, 2007 5:08 am |
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On Mar 2, 2:00 pm, "Thomas Johnson" <thomas_johnso...@hotmail.com>
wrote:
Quote: On Feb 28, 3:23 pm, Cephalobus_alie...@comcast.net wrote:
4) In sum, Pettijohn's CHI is a hopelessly inadequate for
quantifying the chirality of test masses in your experiment. You
have spent years and many thousands of CPU hours in wasted effort.
Other measures of chiral density exist which would be far more
suitable for your purposes than CHI.
Another issue is that CHI doesn't recognize right-handed vs. left-
handed chiral crystals. CHI=1 in both cases.
I -thought- that was the case, but the logical consequences, as
you point out below, are so inane, that I thought surely that the
misunderstanding was on my side...
Quote: Schwartz asserts that the EP violation is largest for RH vs. LH
crystals. I don't know what functional form for the masses inputs 1
for RH and 1 for LH and comes up with different answers for each.
Jerry |
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