I Failure of Theory II Different in a different way Image chirality and parity III Shopping for shoes Equation fitted log(1 - CHI) vs. log(radius) Stereogram alpha-QuartzP3_{2}21 stereogram Graph alpha-Quartz log(1 - CHI) vs. log(radius) Stereogram BenzilP3_{2}21 stereogram Graph Benzil log(1 - CHI) vs. log(radius) Stereogram gamma-GlycineP3_{2}stereogram Graph gamma-Glycine log(1 - CHI) vs. log(radius) IV Fitting shoes on feet Image Optical chirality versus structure Image Optical chirality, superposed stereograms V Parity Eötvös experiment Image Inertial vs. gravitational acceleration Equations Active mass in composition Eötvös experiments Table Test mass property magnitudes VI Parity calorimetry experiment Image Benzil enantiomorphic enthalpies of fusion List Parity calorimetry experiment outcomes VII Parity Gyroballs VIII Parity Molecular Rotors Image Twistane and twistylidene dimers Table Molecular rotor properties in vacuum IX Parity Galilean Drops X Conclusion XI Commentary and Polemic YouTube Music video Image Somebody should look References References

(arxiv:ZZ references below are http://arxiv.org/abs/ZZ)

General Relativity and quantum field theory are correct to the limits of observation, about 14 significant figures. They are incompatible where they overlap. Something postulated to be true is selectively false - and detectably so, but only outside theory. The greatest obstacle to understanding reality is not ignorance but the illusion of knowledge. Reality is not a peer vote. Empirical observation in existing apparatus using commercial materials can identify the failure.

Chiral algebras yield conformal field theory. How does non-linear dynamical symmetry chirality have linear algebraic consequences? Conformal field theory is typically explored in 2-D. In higher dimensions (e.g., Calabi-Yau, AdS/CFT correspondence, supersymmetric gauge theories, Sasaki-Einstein) it yields string theories having no empirical tests. Founding postulates can be empirically tested. They have no defense against falsification.

Every atom coordinate (+/-)M in a massed body is replaced with (-/+)M
giving *M simultaneously reflected in all directions (geometric parity
inversion). Translate centers of mass to coincide. Physics assumes
rotations
pinned to that point exactly transform *M back into M. If M is
chiral, all series of rotations plus translations will fail.
(Reflections, *S*_{n} improper axes of symmetry, are
obviously forbidden). The math is unflawed, but it is incomplete.

If the vacuum is demonstrably not symmetric toward otherwise identical opposite geometric parity atomic mass distributions, physical theory is fundamentally wrong. Contradiction of prior observations is avoided. Divergence is only detectable for fermions in the chiral case, which as an atomic lattice is chemistry.

Physical theory postulates mirror symmetries: Newton (Green's function), General Relativity (Equivalence Principle), string theory (BRST invariance) and quantum gravitations overall, Calabi-Yau manifolds [1], standard model (arrives massless; Higgs is not detected), SUSY (invisible to LHC and XENON-100). The massed universe is not mirror-symmetric: electroweak force to fermions' anti-symmetric wavefunctions. Einstein-Hilbert action requires adding a parity-violating Chern-Simons term [2]. Defective postulates require inserted "symmetry breakings" during theory derivation.

Vacuum asymmetry toward otherwise identical opposite chirality atomic mass distributions has never been examined. Test mass is metaphoric left versus right shoes built of fermions, not massless boson photons pursuing null geodesic paths. Physics cannot calculate geometric parity divergence (chiral divergence in all directions) of a chiral atomic mass distribution and its mirror image. Crystallography and pure mathematics provide extreme inverse geometric parity self-similar atomic mass distributions to arbitrarily large sizes.

Socks and left shoes do not detect a left foot. Right shoes detect a left foot. A massed sector chiral vacuum background can be detected without contradiction of prior observations.

Big Bang intense chirality implies remnant chiral vacuum background active only toward fermionic mass [3]. A massed sector chiral vacuum background contradicts no prior data. Diastereotopic mass-vacuum interactions can exist. Noether's theorems couple continuous symmetries with conserved currents. Vacuum isotropy demands angular momentum conservation. Noether requires continuous symmetries or Taylor series' approximations.

Geometric parity is an explicit discontinuous symmetry. A massed
sector chiral vacuum background allows minimum non-zero value for
fermion angular momentum at large scale and small angular
acceleration. Observed galaxy rotation versus increasing radius
is remarkably modeled by MOND. The Tully-Fisher law relates spiral
galaxies' visible mass distribution to asymptotically constant
star and gas rotation velocities at large radii - the "dominating
dark matter halos" regime. Milgrom acceleration critical value is
g_{0} ~(1.21±0.14)·10^{-10} m/s^{2}.
The universal MOND residual for fermionic matter can thus be sourced
[4] as massed angular momentum with a minimum
non-zero value from explicit symmetry breaking.

Chiral mass is divergent for matter vs. antimatter abundance, beta-decay rates [5], and neutrino-antineutrino reaction channels [6]. Massless photons are inert [7]. Opposite shoes detect a vacuum left foot by violating the Equivalence Principle (EP). Chemically and macroscopically identical, inverse geometric parity atomic mass distributions vacuum free fall non-identically: parallel minimum action trajectories, but with one test mass lagging the other in speed. Opposite circular polarizations of light traversing a materially homogeneous electronically chiral medium have different refractive indices (ORD) and different molar absorptivities (CD).

Decay of an intensely chiral Big Bang false vacuum, differentially acting upon fermionic matter only, fueled cosmic inflation, selected matter over antimatter, froze the Weak interaction left-handed. Its trace remnant today, active only in the fermionic massed sector, biased biological homochirality, causes annual sinusoidal rates of chiral beta-decay, splits the degeneracy of chiral neutrino-antineutrino reaction channels, and remains detectable by inverse geometric parity atomic mass distributions. Cosmic microwave background photons' polarization decoupled from massed sector chirality long before the universe went transparent.

No EP violation has emerged since 1500s' Galileo Galilei and Simon
Stevin. Anomalies will appear external to derivation. Geometric
parity, outside physical theory founding postulates and obtainable
by chemistry, is the obvious testable EP falsification. Test for it:
**Opposite shoes vacuum free fall non-identically.**

Geometric parity is nonsuperposability of a set of points upon its mirror image along all coordinate axes.

Quantum field theories (QFT) with Hermitian Hamiltonians are invariant under the Poincaré group containing spatial reflections. Parity is a spatial reflection but is not a QFT symmetry. Covariance with respect to reflection in space and time is not required by the Poincaré group of Special Relativity or the Einstein group of General Relativity (GR). Noether's theorems require continuous symmetries or approximation by a Taylor series. Parity is irresolvably discontinuous and excluded. Physics is proudly blind to opposite shoes.

Parity effects appear in weak interactions. Gravitation is the
weakest fundamental interaction by 24 orders of magnitude.
Opposite shoes will vacuum free fall along identical trajectories
at detectably different rates - a vacuum "chiral mass refractive
index" not exceeding 10^{-12} difference/average.
One enantiomorph will vacuum free fall (nearly) unremarkably, as
a pair of socks or a left shoe fit upon a left foot. The other
enantiomorph will display the majority of the parity EP anomaly,
as a right shoe poorly fits upon a left foot.

Metric and quantum gravitation theories unite the effects of a massive body and an accelerated inertial frame by postulating the EP (general relativity) or rationalizing it (string theory and BRST invariance).

- All local centers of mass vacuum free fall along identical
(parallel-displaced) minimum action trajectories at identical
rates independent of all measurable observables.
- The vacuum world line of a body immersed in a gravitational
field is independent of all measurable observables.
- The local effects of motion in a curved space (gravitation)
are indistinguishable from those of an accelerated observer in
flat space, without exception.
- Mass (measured with a balance) and weight (measured with a
scale) are locally in identical ratio for all bodies (the
opening page to Newton's
*Principia*).

Eötvös experiments detect no composition or field EP violations
to 5·10^{-14} difference/average [8].
Lunar laser ranging observes zero Nordtvedt effect. 1.74 solar-mass
465.1 Hz pulsar PSR J1903+0327 plus a 1.05 solar-mass star are a
95.17-day orbit binary system [9]. 15.3% (AP4
model radius) [10] vs. 0.0001% gravitational
binding energy, 1.8·10^{11} vs. 30 surface gees,
2·10^{8} gauss vs. 5 gauss magnetic field; compressed
superfluid neutrons and superconductive protons [11]
vs. proton-electron plasma, extreme isospin and lepton number
divergence; and pulsar 11% (AP4) of lightspeed equatorial spin
velocity are differentially EP-inert for orbit, periastron
precession, and gravitation radiation orbital decay. 1.97
solar-mass 317.5 Hz PSR J1614-2230 and a 0.5 solar-mass He-C-O
white dwarf contrast pulsars with Fermi-degenerate matter, 20%
versus 0.01% gravitational binding energy [12],
to no EP anomaly.

Divergent strong field relativistic and quantum measurable
observables universally validate the EP. All atoms are anonymous
unit masses in vacuum free fall. Chemical bonding is
gravitationally invisible: covalent, ionic, metallic, hydrogen,
aromatic, aromatic stacking, banana, pi-pi sigma, dative, halogen;
carbanions, carbocations, radicals, carbenes; 3-center 2-electron,
charge transfer, metal to ligand charge transfer, intervalence
charge transfer, van der Waals.... *All measurable* observables
are differentially inert in Einstein's elevator at laboratory,
local, and cosmic scales. Mass distribution chirality can be
observed and calculated, but it cannot be measured. The EP can
be falsified without contradiction of prior observations in any
venue at any scale.

Crystallographic space
groups (pdf) are a group of automorphisms with a bounded
fundamental region consistent with crystal lattice discrete
translation symmetries. Two objects equivalent by affine
transformation but not conjugate by an orientation-preserving
transformation (no orientation-preserving map from the group to
its mirror image exists) are an enantiomorphic pair [18].
3-space periodic crystal lattices are 230 unique self-similar
distributions of points. 65 Sohnke space groups permit chiral contents.
11 enantiomorphic pairs in the 65 are mathematically chiral
independent of unit cell contents
(pdf). Delete individual space groups containing racemic or
opposite sense screw axes. Two usable enantiomorphic pairs remain,
with right-handed 3_{1} screw axes or left-handed
3_{2} screw axes: *P*3_{1}21(#152) |
*P*3_{2}21(#154),
-quartz.
*P*3_{1}(#144) | P*3*_{2}(#145),
-glycine.
These are our shoe boxes containing opposite shoes.

Mathematician Michel Petitjean's
published
(pdf) QCM software [19] *ab initio*,
from relative atomic coordinates only, calculates CHI - the
normalized global minimum for all translations and rotations for
all correspondences permitted by a graph. QCM requires anonymous
countable N points' relative coordinates and body finite inertial
moments. The overall extreme is CHI = 1 (normalized geometric
parity divergence, [0 - 1]), COR = 1 (identity element only; N!
maximum), DSI = 0 (self-similarity; [0 - 1]).

CHI asymptotic to 1 given COR = 1 DSI = 0 is a connection among
eigenvalues, special functions, their representation theory with
solid angles, and exponentials of fractions of
at a characteristic scale. Graphic intercept arises from a solid
angle subtended by a polyhedron vertex angle
(supplement of its dihedral angle) of a formula unit's three
consecutive atoms (-quartz'
averaged six O-Si-O paths) or dihedral angle (benzil), Eq. 1.
Larger angles give smaller intercepts and larger CHI at a given
lattice ball radius (scaled as log_{10}, radius in
angstroms, and angle in degrees). All proposed enantiomorphic
test masses qualify as the most extreme case.

- CHI rapidly asymptotes to 1 with increasing lattice radius, within angstroms.
- COR = 1 (identity element only), DSI = 0.
- 3
_{1}(right-handed) and 3_{2}(left-handed) screw axes possess a characteristic angle within the formula unit comprising them, alpha. A graph of log(1 - CHI) versus log(radius) is tightly coupled to that angle,log

_{10}(1-CHI)= -2[log_{10}(radius)] + [2 - (/60)]

Space groups *P*3_{1}21 and *P*3_{2}21: The quartz
group includes
-quartz,
[20], berlinite and analogues, cinnabar,
tellurium, metallic selenium, others. Opposed solid single
crystals of right- and left-handed quartz enable a parity-conserving
Eötvös experiment sensitive to EP parity violation. A
semi-empirical approach to calculating geometric parity divergence
strictly agrees [23]. Quartz'
atoms are densely packed, 79.64 atoms/nm^{3}.

Benzil, C_{6}H_{5}-(C=O)-(C=O)-C_{6}H_{5},
is achiral when molten, gas phase, or dissolved. Solid state
crystal lattice forces twist and stack benzil molecules into
homochiral helices, space groups *P*3_{1}21 or *P*3_{2}21
[*Acta Cryst.* B43 398 (1987)].

A parity-destroying (by melting the crystal lattice) calorimetry
experiment measures divergent vacuum insertion energies plus EP
parity violation as single crystals' divergent enthalpies of fusion,
shoes fitted into the vacuum left foot then melted into identical
fitted socks without any chemical alteration.
Benzil's atoms are densely packed, 93.43
atoms/nm^{3}.

Space groups *P*3_{1} and *P*3_{2}:
Glycine -polymorph
[21] mesitylglyoxylic acid,
2,2-bis(hydroxymethyl)propionic acid, 1,2,4-thiadiazole-3,5-dicarbonitrile.
-Glycine's
atoms are *very* densely packed, 127.07 atoms/nm^{3}.
It has 62.7% a-quartz' lattice volume/atom and 59.8% its material
density, providing 2.67 times more structure/mass.

A chiral vacuum background appears in two independent ways. Right and left shoes fall through it differently. Right and left shoes insert into it with different energies. The former is a parity Eötvös experiment requiring exotic apparatus, 90 days, and PhD staff. Both together are a parity calorimetry experiment requiring two differential scanning calorimeters (DSCs), 2 days, and technicians.

EP violation as divergent rather than parallel trajectories disturbingly defines a privileged direction in space. EP violation as divergent acceleration magnitudes is unremarkable.

EP parity divergence is geometric, not compositional or electronic. Optical chirality is progressive rotation of the plane of linearly polarized light with passage through a medium. It is the imaginary part of the complex gyrotropy tensor. The quantitative electronic chirality scalar is time-reversal even, mirror-reflection odd:

Optical chirality is an artifact of orbitals, spin polarization,
and interrogation frequency (*J. Appl. Cryst.* __19__ 108
(1986)). Chiroptical methods (specific rotation, optical rotatory
dispersion; circular dichroism) are electromagnetic probes of
three irreducible tensor components: pseudoscalar (chirality
persists in disordered solution); vector (pyroelectric lattice);
pseudodeviator (lattice symmetry). The last two allow mirror
planes (gyrotropy without chirality) [13].
Silver thiogallate, AgGaS_{2} in *achiral* space
group *I*-42*d*(#122), has 522°/millimeter optical
rotation along [100] at 497.4 nm [14].
-Quartz
has no measurable optical chirality 56.16° from crystallographic
[0001] (*Ann. Phys.* (Leipzig) 20 703 (1934)). Optical
chirality cannot assemble a parity Eötvös experiment.

The Flack parameter is global detection of the chiral direction and relative enantiomeric excess of a non-centrosymmetric periodic crystal lattice. The Flack parameter is best resolved in a lattice containing both heavy and light atoms. It is not an absolute measure of atomic mass distribution chiral divergence, one crystal lattice composition compared to another composition.

Friedel's law says the scattering intensity |F(*hkl*)|^{2}
from crystal plane (*hkl*) equals |F(*-h -k -l)*|^{2}
where "F" is the calculated structure factor. However, atoms' inner
electrons resonantly absorb x-rays and re-emit them with a delay.
Reflections then have a phase shift called anomalous dispersion.
Atomic scattering factors have imaginary parts due to anomalous
dispersion, breaking Friedel's law.

The Flack parameter "x" is
I(*hkl*) = (1-x)|F(*hkl*)|^{2} + x|F(*-h -k -l*)|^{2}

"I" is the square of the scaled observed structure factor. If x ~ 0, the absolute chirality of the structure refinement is likely correct. If x ~ 1, the inverted structure is likely correct. If x ~ 0.5, the crystal may be racemic or twinned.

2-Norborn** a**none has []

Chiroptical methods do not measure mass distribution chirality
[16]. Even qualified local chiral atomic mass
distributions may not sum to global chirality. Opposite chirality
species cancel in a racemate. A solid ball is gaplessly dissected
into N = 2 (or more) congruent homochiral pieces by the
*Coupe du Roi*
[17]. Global geometric criteria are required.

An Eötvös torsion pendulum is a symmetric ~6 cm diameter rotor vertically suspended from a meter of ~20 micrometer diameter tungsten filament (a hair is ~50 micrometers diameter) in a vibration-isolated; electrically, magnetically, and electromagnetically-shielded ultra-high vacuum chamber. It carries two mass-balanced and moments of inertia-balanced sets of 180°-opposed test masses totaling ~40 grams. The rotor link above [26] displays two parity Eötvös experiments:

- Right- versus left-handed -quartz. Hemiparity Eötvös experiments oppose each parity with amorphous fused silica test masses.
- Right- versus left-handed -glycine.
Hemiparity Eötvös experiments oppose each parity
with single crystal
-glycine
test masses in centrosymmetric space group
*P*2_{1}/*n*[24].

EP violation exerts nanoscopic periodic torque with interferometric
rotation detection as the Earth gravitationally orbits the sun
(m_{g}, gravitational test mass) and inertially rotates
about its axis (m_{i}, inertial test mass). EP composition
tests null to

2|m_{g} - m_{i}|/|m_{g} +
m_{i}| = 5·10^{-14} difference/average sensitivity.

Geocenter orbital acceleration varies from 0.6133 cm/sec^{2}
~03 January 2010 perihelion to 0.5737 cm/sec^{2} ~06
July 2010 aphelion averaging 0.5930 cm/sec^{2} at one
astronomical unit. Given World Geodetic System 1984, 44.95°
latitude affords maximum 1.693 cm/sec^{2} horizontal
component of Earth's inertial spin at sea level. Geoid gravity
is 980.6 cm/sec^{2} (differentially inactive in these
experiments). Small imposed accelerations demand large contrasted
property concentration and divergence for detectable EP violation.

An Eötvös experiment contrasts net active mass. Nuclear binding energy is the largest studied composition divergence, but it is a very small fraction of total mass loaded in a composition dipole. Weighted for isotopic abundance and respective nuclear binding energies, formula unit versus formula unit,

p = 938.272029 MeV n = 939.565360 MeV neutrons protons BeH_{2}= 2.154282813 MeV/baryon binding energy 5 6 Be = 6.462844444 MeV/baryon binding energy 5 4 Ti = 8.713956520 MeV/baryon binding energy 25.9183 22 Al = 8.331644111 MeV/baryon binding energy 14 13 Mg = 8.265128777 MeV/baryon binding energy 12.3202 12 Pt = 7.929068987 MeV/baryon binding energy 117.11348 78 Rh = 8.584197699 MeV/baryon binding energy 58 45 V = 8.741956554 MeV/baryon binding energy 27.9975 23 TA6V = 8.692137777 MeV/baryon binding energy 25.28637 21.5 PtRh10 = 7.994581858 MeV/baryon binding energy 111.20213 74.7 [Ti - BeH_{2}]/[( 30.9183n + 28p )/ 58.9183] = 0.0069862 active mass fraction [Ti - Be]/[( 30.9183n + 26p )/ 56.9183] = 0.0023974 active mass fraction [Al - Be]/[( 19n + 17p )/ 36] = 0.0019903 active mass fraction [Mg - Be]/[( 17.3202n + 16p )/ 33.3202] = 0.0019195 active mass fraction [Ti - Pt]/[(143.03178n + 100p )/243.03178] = 0.00083585 active mass fraction [TA6V - PtRh10]/[(136.428502n + 96.2p)/232.628502] = 0.00074285 active mass fraction p, n mass equiv., isotope ratios:CRC Handbook of Chemistry and Physics88th Ed., 2007-8, Secs. 1-4, 11-57 Nuclear binding energies: http://t2.lanl.gov/data/astro/molnix96/massd.html

[Ti - Pt] is MICROSCOPE. It is a hopeless EP test made worse for the alloys to be used: PtRh10 (90% Pt, 10% Rh) versus titanium alloy TA6V (90Ti_6Al_4V).

Atomic mass distribution in 3-space defines a geometric parity test mass. Ignoring electrons entirely, quartz is 0.99973 active mass (nuclei relative positions in space). Parity Eötvös experiments are 400 to 500 times as sensitive as the best composition Eötvös experiments for the same test mass total loading for the same EP divergence.

Benzil differential enthalpy of fusion calorimetry
(below) allows a maximum geometric parity
divergence Eötvös signal of 10^{-12}
difference/average. Geometric parity Eötvös experiments
offer thousands of times better overall sensitivity than the
most divergent composition Eötvös experiments, even in
principle,

[Ti - BeH_{2}]: [(0.9997)(10^{-12})]/[(0.0069862 )(5·10^{-14})] = 2,862 [Ti - Be]: [(0.9997)(10^{-12})]/[(0.0023974 )(5·10^{-14})] = 8,340 [Al - Be]: [(0.9997)(10^{-12})]/[(0.0019903 )(5·10^{-14})] = 10,046 [Mg - Be]: [(0.9997)(10^{-12})]/[(0.0019195 )(5·10^{-14})] = 10,416 [Ti - Pt]: [(0.9997)(10^{-12})]/[(0.00083585)(5·10^{-14})] = 23,921 [MICROSCOPE]: [(0.9997)(10^{-12})]/[(0.00074285)(5·10^{-14})] = 26,915

Other composition Eötvös experiments have smaller active mass content and vanishingly small net active mass divergence,

Property | Fraction of Rest Mass |
---|---|

rest mass | 100% |

crystal lattice nuclear mass distribution parity divergence |
99.9775% (*Te) 99.9771% (*HgS) 99.9769% (*PdSbTe) 99.9730% (*AlPO _{4})99.9726% (*SiO _{2})99.9713% (*benzil) 99.9708% (*glycine) |

nuclear binding energy (low Z) |
0.76% (_{2}He^{4}) |

neutron versus proton mass | 0.14% |

electrostatic nuclear repulsion | 0.06% |

electron mass | 0.03% |

unpaired spin mass | 0.005% (^{55}Mn**) |

nuclear antiparticle exchange | 0.00001% |

Weak Force interactions | 0.0000001% |

Gravitational binding energy | 0.0000000319% Earth*** 0.00000000185% moon |

If inverse geometric parity quartz single crystals fall through
the vacuum differently, a time-varying Eötvös torsion
balance net output will obtain as with a (never observed)
successful composition experiment. Controls are each
-quartz
geometric parity run against achiral amorphous fused silica test
masses, or each
-glycine
geometric parity run against achiral single crystal test masses of
-glycine
in centrosymmetric space group *P*2_{1}/*n*.

Space groups *P*3_{1}21 (-quartz)
or *P*3_{1}
(-glycine),
geometric right shoes, will display most of the EP parity
violation. Space groups *P*3_{2}21 and *P*3_{2},
geometric left shoes, will fall (approximately) unremarkably.

A parity Eötvös experiment is geometric parity-conserving. A parity calorimetry experiment is geometric parity-destroying. It melts opposite shoes into identical achiral socks. A time-varying EP parity violation is summed with a constant differential chiral vacuum background insertion,

All Eötvös experiments detect (m = mass; g = gravitational,
i = inertial, 2|m_{g} - m_{i}|/|m_{g} +
m_{i}| divergence. Parity calorimetry experiments detect
|m_{g} - m_{i}|c^{2} plus chiral vacuum insertion
difference. Benzil's H_{fusion}(enthalpy of fusion)
is 112 J/g. A 5·10^{-14} relative Eötvös signal is

E = (5·10^{-17} kg)(299,792,458 m/sec)^{2}

E = 4.49 joules

4% relative H_{fusion}

DSC precision is 0.1%. A borderline detectable parity
Eötvös experiment output is 40 times DSC baseline
sensitivity. A parity EP experiment has 400 to 500 times the
relative active mass of the best composition Eötvös
experiment. State of the art composition Eötvös
experiment sensitivity is 5·10^{-14} relative.
Unremarkable parity calorimetry experiment sensitivity is 16,000
to 20,000 times better, 3·10^{-18} relative.

Two horizontally abutted DSCs' sample ports define a north-south
line. Each holds a ~3 mm diameter ~17 mg benzil single crystal
sphere with sample carriers crimped against sublimation. One
sample port consistently contains one crystal in space group
*P*3_{1}21 and the other sample port one crystal in
*P*3_{2}21.
H_{fusion}
are simultaneously run. New crystals run at half-hour intervals
for 24 hours inclusive local time. If
H_{fusion} is not equal to zero within
experimental error, repeat the run the next day with east-west
alignment. H_{fusion} will have a six
hour phase shift on the second day when the sample ports are
aligned east-west. Calibration and controls are
H_{fusion} of finely powdered racemic benzil.

A parity calorimetry experiment in benzil has four possible outcomes:

- No net signal. H
_{fusion}= 0. Enantiomorphic single crystal H_{fusion}are identical to that of powdered racemic benzil. Values do not change versus time of day and N-S or E-W geographic orientation. -
*P*3_{1}21 and*P*3_{2}21 crystals consistently fit with different energies into chiral vacuum. The melts are achiral and identical. Opposite parities of chemically identical crystal melting to a common state must display different enthalpies of fusion. At least one H_{fusion}will be different from that of powdered racemic benzil, H_{fusion}is not equal to 0. - The angle between Earth's inertial spin and gravitational
orbit rotates 360°/24 hours. This sources a composition
Eötvös experiment signal. Add
*P*3_{1}21 and*P*3_{2}21 benzil test masses aligned N-S and the coordinate frame cycles chiral, achiral, opposite chiral, achiral every 24 hours. A sinusoidal H_{fusion}not equal to 0 will appear. - (2)+(3). Physics contains no alternative explanation for this observation.

**BUT WHY STOP HERE!** Heresy has no reason to be subtle.

Earth's inertial spin and gravitational orbit offer rich interaction at 44.950 latitude (WGS84; Earth is a slightly oblate spheroid). "Vacuum propellers" are notoriously nonphysical - but not for us. A rigid chiral mass distribution translating through an interactive medium experiences torque. Inverse geometric parities experience opposite torques.

Otherwise identical single crystal quartz balls, space groups
*P*3_{1}21 / *P*3_{2}21, and an amorphous fused silica
ball are coated with superconductor and Meissner effect-levitated
in hard vacuum re levitated superconducting dual sphere gravimeters.
Balls counter-rotating with diurnal phasing (fused silica as
control) validate massed sector interactive vacuum background inert
to photons.

All aether and Lorentz invariance tests used photons. A divergent mass effect is not prohibited.

The parity gyroball experiment reduces to vacuum phase single
molecules observed with (Fourier transform) microwave spectrometry
for diurnally-varying relative rotation state populations. A
preferred molecular rotor has a large fraction of its skeletal
atoms being stereocenters rendered equivalent by rotation axes.
Point group D2 twistane, tricyclo[4.4.0.0^{3,8}]decane,
C_{10}H_{16}, has four identical chiral centers
that arise from geometry.

Rigidly mount two vacuum propellers at opposite ends of a short stiff axle. Random McMurry coupling of racemic synthetic intermediate twist-2-one creates 25% right-right, 50% right-left, 25% left-left pairings. Rotationally rigid twistylidene dimer rotors are accessible and elegant.

The table lists calculated properties for candidate molecular
rotors in vacuum. CHI validates the C_{20}H_{28}
dimers and their epoxides (permanent dipole moment for stronger
microwave transitions). CHI and moments of inertia were
calculated from HyperChem mm+ minimized structures.

Molecule | CHI | Moments of inertia, amu-Å | |||
---|---|---|---|---|---|

phenylalanine | 0.103146 | 198.137 | 1153.73 | 1182.48 | |

twistane | 0.709172 | 228.401 | 349.101 | 352.793 | |

hexadecafluorotwistane | 0.714376 | 1640.94 | 2150.10 | 2208.38 | |

chiral di-2-twistylidene | 0.462493 | 703.060 | 1774.35 | 1938.04 | |

meso-di-2-twistylidene | 0.000000 | 702.402 | 1760.13 | 1996.00 | |

chiral di-2-twistylidene epoxide |
0.455900 | 733.022 | 1874.77 | 2058.85 | |

meso-di-2-twistylidene epoxide |
0.000092 | 738.745 | 1877.88 | 2130.11 |

FT microwave spectroscopy seeks a diurnal divergence of rotational state populations for paired homochiral rotors versus the meso-pair. A chiral vacuum background will diverge the two homochiral rotors' responses. Diurnal divergence validates a massed sector interactive vacuum background inert to photons.

A 5·10^{-14} gram/gram divergence is a 4.49 joule/gram
divergence. Twistylidene dimer rotors, C_{20}H_{28},
are MW = 268.436. Boltzmann's constant estimates rotational
divergence as molecular temperature. If the sample cell is at
100°C, 373.15°K, it is a 28% absolute temperature increase.

(4.49 J/g)(268.436 g/mol)/(6.022·10^{23}
molecules/mole)(1.3806510^{-23} J/kelvin) = 145 kelvin/molecule

The historic EP test drops two objects from a tall tower and
differentially compares their free fall trajectories. *Fallturm
Bremen* is a 110 meter vacuum free fall, 4.74 seconds one way,
or 9 seconds with a bottom catapult launch. The 146 meter tower's
core 123 meter vacuum tube is pumped down to 7.5 millitorr. A drop
capsule contains an interior drop capsule in hard vacuum.

Robert Reasenberg and James Phillips, Harvard-Smithsonian Center
for Astrophysics, are fabricating a 400-second vacuum free fall
sounding rocket capsule promising
1000X (pdf)
greater sensitivity than an Eötvös balance,
(arxiv:1001.4752, *Class. and Quantum Grav.* 27(9) 095005 (2010)).
They plan to oppose aluminum versus lead test masses. Grant
funding embraces 100% guaranteed failure of a composition EP
test but rejects plausible success of a geometric EP test.

A parity Eötvös experiment opposing enantiomorphic space group single crystal alpha-quartz test masses risks success in falsifying the Equivalence Principle. Parity calorimetry in benzil proceeds in kind. Inverse parity gyroballs and parity-paired plus anti-paired molecular propellers are sensitive to all massed sector interactive vacuum backgrounds. A Galilean drop is absolutely definitive. A broad swath of physical theory postulating isotropic vacuum validated by photons could be selectively falsified without contradiction by inverse geometric parity atomic mass distributions. Somebody should look, for the worst it can do is succeed.

Uncle Al denounces academic physicists who reject challenging spacetime geometry with test mass geometry. They are cowards and worse - managers and bureaucrats covering their bums with abstract performance metrics, measuring what is Officially True not important, procuring performance bonuses for pursuing process not product. Scientists pursue discovery. Discovery is product. On a good day, discovery is ghastly wicked insubordination.

Contemporary physics is an abusive hegemony of beige, as Tommy Aquinas knew the necessary answer but lacked a route to it. Science is poisoned by deformed decisions valuing theory over falsifying experiment. Cognition stratifies.

Young Marlon Brando was grizzly. His studio
plugged actors into scripts, making movies and money. Grizzly
Brando was a singing gangster in *Guys and Dolls*. The
toughest US criminals were gelded in a Salvation Army meeting.
A song said it all,

http://www.youtube.com/watch?v=o7kzsZreG0o

in part,

I sailed away on that little boat to Heaven

And by some chance found a bottle in my fist,

And there I stood, nicely passin' out the whiskey,

But the passengers were bound to resist...

For the people all said, "Beware!

You're on a heavenly trip."

People all said, "Beware!

Beware you'll scuttle the ship."

And the Devil will drag you under

By the fancy tie 'round your wicked throat;

Sit down, sit down, sit down, sit down,

Sit down you're rockin' the boat.

A perceptible analogy springs forth...

I loaded quartz in that balanced Eötvös rotor

And by some chance found a signal in its chart,

And there it hung, rotor torquing out the scandal,

But the physicists all were loathe to take part...

For professors all said, "Beware!

You're on a gravity trip."

The profs all said, "Beware!

Keep your hands off scholarship."

And a chemist will drag you under

By the fancy shoes on his wicked feet.

Sit down, sit down, sit down, sit down,

Sit down you're rockin' the boat.

Promotion within hierarchal management is quantitatively worse than random choice. Physics is staring down extraordinary empirical failures: quantum gravitations; Standard Model, SUSY, and the Higgs meson; dark matter. Physics is a coward for not examining a subtle universal falsification of its assumptions to be performed in existing apparatus. Hey physics... you would still have teleparallel gravitation, authored by A. Einstein, et al.

Somebody should look. The worst it can do is succeed.

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**[26]** Adapted from
http://www.npl.washington.edu/eotwash/experiments/equivalencePrinciple/newWashPendulum.jpg

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