## Has dark matter been observed?
The group of G. Cantatore has reported an optical
rotation of a laser beam in a magnetic field
(hep-exp/0507107). The experimental
arrangement involves a magnetic field of strength
B=5 Tesla. Laser beam travels 22000 times forth
and back in a direction orthogonal to the
magnetic field travelling 1 m during each pass
through the magnet. The wavelength of the laser
light is 1064 nm. A rotation of (3.9+/-.5)×
10 A possible interpretation for the rotation would be that the component of photon having polarization parallel to the magnetic field mixes with QCD axion, one of the many candidates for dark matter. The mass of the axion would be about 1 meV. Mixing would imply a reduction of the corresponding polarization component and thus in the generic case induce a rotation of the polarization direction. Note that the laser beam could partially transform to axions, travel through a non-transparent wall, and appear again as ordinary photons.
The disturbing finding is that the rate for the
rotation is by a factor 2.8× 10 The motivation for introducing axion was the large CP breaking predicted by the standard QCD. No experimental evidence has been found has been found for this breaking. The idea is to introduce a new broken U(1) gauge symmetry such that is arranged to cancel the CP violating terms predicted by QCD. Because axions interact very weakly with the ordinary matter they have been also identified as candidates for dark matter p"/public_html/articles/.
In TGD framework there is special reason to
expect large CP violation analogous to that in QCD
although one cannot completely exclude it. Axions
are however definitely excluded. TGD predicts a
hierarchy of scaled up variants of QCD and entire
standard model plus their dark variants
corresponding to some preferred p-adic length
scales, and these scaled up variants play a key
role in TGD based view about nuclear strong force
(see this
and this),
in the explanation of the anomalous production of
e
What raises optimism is that the Compton length
of the scaled down quarks is of the same order as
cyclotron wavelength of electron in the magnetic
field in question. For the ordinary value of
Planck constant this option however predicts quite
too high mixing rate. This suggests that dark
matter has been indeed observed in the sense that
the pion corresponds to a large value of Planck
constant. Here the encouraging observation is that
the ratio λ The most plausible model is following.
- Suppose that the photon transform first
to a dark cyclotron photon associated with
electron at the lowest n=2
^{11}level of the biological dark matter hierarchy. Suppose that the coupling of laser photon to dark photon can be modelled as a coefficient of the usual amplitude apart from a numerical factor of order one equal to α_{em}(n) propto 1/n. - Suppose that the coupling g
_{πNN}for the scaled down hadrons is proportional to α_{s}^{4}(n) propto 1/n^{4}as suggested by a simple model for what happens for the nucleon and pion at quark level in the emission of pion.
_{c}/λ
must correspond to preferred values of n
characterizing Fermat polygons constructible using
only ruler and compass, and that the rate for the
rotation of polarization depends on photon
frequency and magnetic field strength in a manner
not explained by the model based on the
photon-axion mixing.The chapter Does TGD Predict the Spectrum of Planck Constants? contains the detailed calculations. |