Thursday, November 01, 2007

Wegener, Susskind, and me too

Lubos Motl writes nice birthday postings (see for instance, the one about Galois). The latest one was about Wegener. Lubos finished his posting with the following comment.

Well, it is probably obvious where I am going. The convoluted properties of the particle spectrum we observe may also be a result of some historical evolution, as eternal inflation combined with the landscape may suggest. But it doesn't have to be so.

Structurally thinking outsider (in a hypothesical world, where outsiders interested on meanderings of a non-name like me might exist) might be wondering why landscape makes me so sick. After all, there are many qualitative similarities.

  1. Speaking about evolution at the level of particle mass spectrum. I am indeed talking about particle spectrum as an outcome of evolutionary pressures selecting p-adic length scales corresponding to primes near powers of two. In zero energy ontology measurement resolution comes in powers of 2 very naturally so that it would seem that coupling constant evolution as an analog for a transition to chaos by period doubling would automatically select the preferred p-adic primes. Also for dark matter hierarchy the especially preferred values of Planck constant come as powers of two: you can add to the kettle also the products of different Fermat primes. As matter fact, I am saying that the entire Universe is a gigantic topologically computing living organism at all levels of various hierarchies.

  2. Speaking about landscape. I am predicting an infinite hierarchy of dark matters with different values of Planck constant and assume the 8-D imbedding space to have infinite number of branches intersecting along M2 or S2 subset CP2 at quantum criticality and M2×S2 at maximal quantum criticality: looks rather brany. Any gauge group can appear as a dynamically engineered gauge group (Hermitian operators in included algebra define gauge symmetry algebra) and characterize measurement resolution via inclusions of HFFs with M-matrix identified in terms of a modification of Connes tensor product.

    My only defense against landscape accusations is that standard model symmetries are in a completely different role than those induced by a finite measurement resolution and are symmetries of the 8-D imbedding space selected uniquely by the mathematical existence of the geometry of world of classical worlds. The symmetries related to measurement resolution are engineered.

  3. Speaking about eternal inflation. I am saying cosmic evotion is locally a sequence of non-expanding periods with quantum phase transitions increasing the value of the gravitational Planck constant between them and giving rise to accelerated periods of expansion. These period correspond to critical cosmologies with flat three-spaces so that inflation is replaced with quantum criticality with very similar predictions. Eternal inflation + landscape is replaced with quantum criticality + dark matter hierarchy.

So: who he is the Wegener? Is it Lenny Susskind or could it be...? I did not say anything! I didn't! Luckily I heard just in time the authoritative sounding "crackpot" inside me!


At 4:21 AM, Blogger Lumo said...

Hi Matti, I also find the analogy troubling because all electrons are totally identical and extremely unique objects. They surely have some internal (stringy) structure but they are no counterparts of species or continents that have a lot of internal degrees of freedom.

Still, the structure of the compact dimensions or equivalently the particle spectrum and interactions could be somewhat analogous to the species or continents. Even if you take this analogy, 10^{500} vacua only corresponds to DNA with 500 nucleobases or so. It's a very short DNA so it should still be much more doable to study how and why we ended up with the particular vacuum.

At 4:52 AM, Blogger Matti Pitkanen said...

You are considering 10^(500) vacua. My situation is not so good;-). I must start from infinite number of partonic vacua labelled by primes defining p-adic number fields. Fight for survival would occur at the level of partonic 2-surfaces whereas in landscape it would occur at astro-scales.

The evolutionary pressure selecting primes near powers of 2 would be due to the fact that powers of 2 appear naturally as time scales for M-matrices in zero energy ontology about which I have talked in previous postings. The geometric point is that causal diamonds with proper time interval s=t between tips contain naturally causal diamonds contained in either half of diamond and thus correspond to proper time interval s=t/2 and CP_2 time defines the natural lower bound for s. Zero energy insertions to positive/ negative energy parts of state correspond to this time scale and its descendants s/2^n.

This leaves still an infinite number of vacua but here comes the limitations of ourselves as observers. p=about 2^(kmax=few hundred) corresponds to the age of Universe. 10^500 corresponds in TGD to kmax=few hundred.

Mersenne primes are the ones nearest to powers of two and they could correspond to zoomed versions of standard model physics. There are very few of them. Mersenne primer M_127 corresponding to electron is the largest Mersenne which corresponds to not competely super-astronomical p-adic length scale. As a consequence, you have very limited number copies of standard model physics / elementary particle mass scales fighting for survival.

There is also the freedom due to the varying Planck constant. Ordinary particles would have dark counterparts but with same masses and scaled Compton times/ lengths and one would have dark matter and biology and macroscopically quantum coherent astrophysics. Evolution would mean emergence of increasing values of Planck constant, and perhaps also ordinary matter transforming to dark matter.


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