About the origin of multicellularity in the TGD Universe
A living organism consists of cells that are almost identical and contain DNA that is the same for all of them but expresses itself in different ways. This genetic holography is a fundamental property of living organisms. Where does it originate?
Dark DNA associated with magnetic flux tubes is one or the basic predictions of the TGD inspired biology. One can say that the magnetic body controls the ordinary biomatter and dictates its development. Could one have a structure that would consist of a huge number of almost identical copies of dark DNA forming a quantum coherent unit inducing the coherence of ordinary biomatter? Could this structure induce the self-organization of the ordinary DNA and the cell containing it.
Could one understand this by using the TGD based spacetime concept. There are two cases to be considered. The general option is that fi are analytic functions of 3 complex coordinates and 1 hypercomplex (light-like) coordinate of H and (f1,f2)=(0,0) defines the space-time surface.
A simpler option is that fi are polynomials Pi with rational or even algebraic coefficients. Evolution as an increase of number theoretic complexity (see this) suggest that polynomials with rational coefficients emerged first in the evolution.
- For the general option (f1,f2), the extension of rationals could emerge as follows. Assume 2-D singularity X2i at a particular light-like partonic orbit (mi such orbits for fi) defining a X2i as a root of fi. If f2 (f1 ) is restricted to X21 resp. X22 is a polynomial P2i with algebraic coefficients, it has m2 resp. m1 discrete roots, which are in an algebraic extension of rationals with dimension m2 resp. m1. Note that m2 can depend on X2i. Only a single extension appears for a given root and can depend on it. The identification of heff=nih0 looks natural and would mean that heff is a local property characterizing a particular interaction vertex. Note that it is possible that the coefficients of the resulting polynomial are algebraic numbers.
For the polynomial option (f1,f2)=(P1,P2), the argument is essentially the same except that now the number of roots of P1 resp. P2 does not depend on X22 resp. X21. The dimension n1 resp. n2 of the extension however depends on X22 resp. X21 since the coefficients of P1 resp. P2 depend on it.
This might generalize to the recent situation (see this) if the iteration of polynomials P1 resp. P2 at the partonic 2-surface X22 resp. X21 defining holographic data makes sense and therefore induces a similar evolutionary process by holography. This could give rise to a transition to chaos at X2i making itself manifest as the exponential increase in the number of roots and degree of extension of rationals and heff. One can consider the situation also from a more restricted point of view provided by the structure of H.
- The space-time surface in H=M4× CP2 can be many-sheeted in the sense that CP2 coordinates are m1-valued functions of M4 coordinates. Already this means deviation from the standard quantum field theories. This generates a m1-sheeted quantum coherent structure not encountered in QFTs. Anyons could be the basic example in condensed matter physics (see this). m1 is not very large in this case since CP2 has extremely small size (about 104 Planck lengths) and one would expect that the number of sheets cannot be too large.
- M4 and CP2 can change the roles: M4 coordinates define the fields and CP2 takes the role of the space-time. M4 coordinates could be m2 valued functions of CP2 coordinates: this would give a quantum coherent system acting as a unit consisting of a very large number m2 of almost identical copies at different positions in M4. The reason is that there is a lot of room in M4. These regions could correspond to monopole flux tubes forming a bundle and also to almost identical basic units.
If mi corresponds to the degree of a polynomial, quite high degrees are required. The iteration of polynomials would mean an exponential increase in powers dk of the degree d of the iterated polynomial P and a transition to chaos. For a polynomial of degree d=2 one would obtain a hierarchy m=2k.
See the article TGD view about water memory and the notion of morphogenetic field or the chapter with the same title.
For a summary of earlier postings see Latest progress in TGD.
For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.
See the article TGD view about water memory and the notion of morphogenetic field or the chapter with the same title.
For a summary of earlier postings see Latest progress in TGD.
For the lists of articles (most of them published in journals founded by Huping Hu) and books about TGD see this.
Source: https://matpitka.blogspot.com/2024/06/about-origin-of-multicellularity-in-tgd.html
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