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About the origin of multicellularity in the TGD Universe

Wednesday, June 5, 2024 2:02

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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 it be possible to understand this using a TGD based spacetime concept.

The proposal of the number theoretic vision of TGD is that Planck’s constant h_eff=nh₀, n corresponds to the dimension of the algebraic expansion of the rationals assignable to a pair functions f₁ and f₂, which are analytic functions of 3 complex coordinates and 1 hypercomplex (light-like) coordinate of H. f₁ and f₂ are assumed to be polynomials with integer or rational coefficients, but also more general analytic functions are possible. Their vanishing defines a 4-D space-time surface.

I am not absolutely sure whether n corresponds to the degree of a polynomial or to the dimension of an algebraic extension associated with the polynomials. The dimension of the extension depends on the polynomial and typically seems to increase with an exponential rate with the degree of the polynomials.

The space-time surface in H=M⁴xCP₂ can be manysheeted 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. 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 onsisting 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.

The identification of m₁ and m₂ is not quite clear. A good first guess is that they correspond to the degrees of polynomials P₁ and P₂. One the other hand, these almost copies could be related by the Galois group of the extension and one might argue that the number of copies is given by the dimension of the extension equal to the order of the Galois group. This unless the copies are invariant under a subgroup of the Galois group. In this case m₁ and m₂ could correspond to the degrees of extension of rationals for P₁ and P₁ but this a guess.

If n corresponds to the dimension of the extension, it could be of the order 10¹⁴ or even larger for the gravitational magnetic body (MB). The MB could be associated with the Earth or even of the Sun: the characteristic Compton length would be about .5 cm for the Earth and half of the Earth radius for the Sun).

Lattice like systems would be a basic candidate for this kind of system with repeating units. The lattice could be also realized at the level of the field body (magnetic body) as a hyperbolic tessellation. The fundamental realization of the genetic code would rely on a completely unique hyperbolic tessellation known as icosa tetrahedral tessellation involving tetrahedron, octahedron and icosahedron as the basic units. This tessellation could define a universal genetic code extending far beyond the chemical life and having several realizations also in ordinary biology.

The number of neurons in the brain is estimated to be 86 billions and is below 10¹⁴. Could the m₂ almost copies of the basic system defining a region of M⁴ correspond to genes and cells. Could our body and brain be this kind of quantum coherent systems with a very large number of almost copies of the same basic system. The basic units would be analogs of monads of Leibniz and form a polymonad. They could quantum entangle and interact. Could this give a recipe for building geometric and topological models for living organisms! Take sufficiently high degree polynomials f₁ and f₂ and find the corresponding 4-surface from the condition that they vanish. This would also give a model for the time evolution of this system.

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: http://matpitka.blogspot.com/2024/06/about-origin-of-multicellularity-in-tgd.html

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