Saturday, August 09, 2008
Low energy physics need not be dirty and ugly
I have not had much time for blogging since I have had very difficult life situation after the funding which lasted for half a year ceased. It was a wonderful time. Now I must try to find some job and must leave TGD for some time. Beware of billionaires interested in quarter science (even worse idea than quarter economy);-)! Despite my life situation and working for a long time near the burnout limit, I have been following blog discussions and the lively Higgs debate in Tommaso Dorigo's blog inspired me to write some lines. I think very highly of Lubos Motl as a theoretical physicist. He has a lot of realism and realizes that theoretical physics at the top level is very very abstract thinking. What however astonishes are some of his dogmatic beliefs. The first belief you can guess. Second dogmatic belief is the belief that coupling constant evolution implies that the low energy physics must be something chaotic and unpredictable. Why so? Could it be that all this stuff looks ugly because we do not understand it? Could there might missing something important from our conceptualization? The generalization of real physics to a fusion of real and various p-adic physics identifies this missing something and indeed leads to beautiful formulas at low energies. The basic vision is that p-adic physics at short distances corresponds to real physics at very long distances: the mere continuity and smoothness in p-adic sense give extremely powerful constraints on real physics at long scales. There are also powerful number theoretic existence conditions involved: consider only the generalization of Boltzman weight to integer power of p quantizing p-adic temperatures to T=1/n appearing in mass calculations relying on p-adic thermodynamics for mass squared represented as scaling generator L0. Therefore the two (or actually very many) notions of nearness (p-adic for various primes and real) change the situation completely by allowing to approach coupling constant evolution from two directions. Low energy physics ceases to be the dust bin containing the dirty things. Simple universal formulas based on p-adic fractality emerge. For instance, the discretization of coupling constant evolution to half octaves in length scale and octaves in time scale brings in a hierarchy of mass scales coming as half octaves and p-adic primes near powers of 2 are strongly favored. Masses are precisely predictable, etc... The most important applications are in biology and one of the basic predictions is direct connection with biology and elementary particle physics via assignment of .1 second time scale to electron in zero energy ontology: alpha rhythm defines indeed a fundamental time scale in biology. What is so beautiful that p-adic space-time sheets whose most point are at spatial and temporal infinity in real sense make their presence directly visible via mass formulas. The notion of infinity ceases to be something for mystics only and receives a strict physical meaning. One particular implication related also to the problem of Higgs mass is that elementary particles can appear in several mass scales differing by a power of 21/2. Quarks do so in TGD based model for hadron masses. This explains also why neutrinos seem to appear in several mass scales. Also Higgs could appear in two mass scales as experiments giving two values of mass differing by a factor of 8 suggest: this I have discussed somewhere in my blog already earlier. The average of these masses would have been not too far from 170 GeV predicted by the non-commutative variant of standard model of Alain Connes and is now excluded. The discussion in Tommaso's blog was discussed by the recently reported bounds 115-135 GeV for Higgs mass. Recall that the data discussed in earlier posting suggested mass values which were around 31 GeV and 420 GeV with quite wide error bras (really!). In TGD framework the new bounds would correspond to those for a heavier version of Higgs: the evidence for a much lower mass from other experiments must be still there. p-Adic length scale hypothesis would predict mass 129 GeV for k=94 which is near the upper end of the allowed interval 115-135 GeV. k=91 gives 45.5 GeV which could correspond to a lighter variant of Higgs. k=91 would give mass 363 GeV. All these mass values and even others could be there depending on experimental conditions. Perhaps it is time to start thinking about the basics again instead of just taking averages or neglecting half of the data!