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Observational evidence for classical Z^{0} force?

Lubos Motle tells in his posting Deviations from Newton's law seen? about yet unpublished findings of a highly respected experimental group providing evidence for deviations from Newton's law at distances below 100 microns at 4 sigma level. The experimenters intend to increase the effect to 8 sigma level before publishing anything and this takes year or two. In most models gravitational force is expected to become stronger at short distances. For instance, in super string inspired models with two large dimensions for which unification of gauge and gravitational occurs in electroweak scale the gravitational 1/r

^{2}force changes to 1/r

^{4}in millimeter length scale. Interestingly, 100 microns corresponds to the length scale defined by the recent value of cosmological constant. The experimenters suggest a rather wavy notion of flat graviton as an explanation for the weakening. Gravitons with wavelengths shorter than 100 microns would not exist at all. A deeper justification is lacking and to me the idea seems to be in a complete conflict with the unification program since other elementary particles have no trouble in having much smaller wave lengths. Consider now what TGD could say about the situation. One of the deviations of TGD from standard model is the prediction of

**classical**electroweak fields resulting as projections of the CP

_{2}spinor connection to the space-time surface in M

^{4}xCP

_{2}. Long range classical Z

^{0}fields are unavoidable and I have discussed various experimental implications extensively in books about TGD. The length scale at which effects become visible corresponds to neutrino Compton length and cellular length scale about 5 micrometers (to be precise, TGD strongly suggests that neutrinos can be in several mass states so that Compton lengths in the range 10 -1000 nm are possible). In single sheeted space-time these fields would be of course a catastrophe (consider only large parity breakings) but in many-sheeted spacetime situation changes. The mysterious chirality selection in living matter could be understood in terms of the axial couplings to classical Z

^{0}fields and they would play star role in bio-catalysis. Low energy neutrinos or some other particles with same electroweak quantum numbers would be needed to screen the classical Z

^{0}force. The requirement that parity breaking effects are small requires that quarks feed their Z

^{0}charges to space-time sheets having size about 5 microns (they correspond to p-adic prime p ≈ 2

^{k}, k=169. I have also discussed classical Z^0 force in the context of nuclear physics here. Here I have discussed the possibility that either ordinary neutrinos, their Cooper pairs, or sneutrinos could do the screening of nuclear Z

^{0}charge. The high Fermi energy in case of neutrino screening is a potential problem. Furthermore, is seems that TGD does not allow space-time supersymmetry. Dark neutrino BE condensate for which individual neutrinos would have complex conformal weights (related closely to zeros of Riemann Zeta) with entire system having real conformal weight would allow to circumvent statistics constraint and in principle would allow neutrinos to be in the same energy state. Interestingly, the Bohr radii of dark matter "super atoms" consisting of blobs of dark nuclei surrounded by dark electrons are in the range .2-.8 mm: not far from .1 mm scale defined by cosmological constant. Dark atoms and dark condensed matter I have discussed in earlier postings and the interested reader can consult the chapter Quantum Coherent Dark Matter and Bio-Systems as Macroscopic Quantum Systems. TGD view about dark matter is as a phase with a large value of hbar: in condensed matter situation the value hbar about 2

^{11}times larger than in normal condensed matter is strongly suggestive. The magnitude of this parameter is determined by the ratio of CP

_{2}length scale to Planck length scale, the latter being a prediction in TGD rather than input. Classical Z

^{0}force would be a natural candidate for explaining the claimed effective weakening of gravitational force and I have discussed bounds for the net density of Z

^{0}charge at condensed matter space-time sheets from the requirement that Z

^{0}repulsion does not exceed gravitational attraction. Matti Pitkanen

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