[3] **viXra:1409.0190 [pdf]**
*submitted on 2014-09-26 06:53:51*

**Authors:** Matti Pitkänen

**Comments:** 20 Pages.

A model for EEG as a communication tool of magnetic body is developed. The basic assumption is that communications from cell membrane occur by Josephson radiation inducing the analogs of cyclotron transitions: this leads to resonance conditions forcing the Josephson frequencies to be equal to cyclotron frequencies in the simplest situation. Music metaphor - in particular the metaphor "right brain sings, left brain" talks allows to further develop the earlier model. One must generalize the original assumption concerning the allowed values of magnetic field $B_{end}$ at flux tubes of the magnetic body: this generalization was forced already by the quantum model of hearing.

The model leads to a detailed identification of sub-bands of EEG in terms of cyclotron frequencies assignable to bosonic ions. One can understand the basic features of various EEG bands, why conscious experiences possible occurring during sleep are not remembered and the four stages of sleep, why beta amplitudes are low and tend to be chaotic, the origin of resonance frequencies of EEG. Also a model for how Schumann resonances could affect consciousness emerges.

Music metaphor allows to develop in more detail the earlier proposal that nerve pulse patterns defined a languages with "phonemes" having duration of .1 seconds and obeying genetic code with 6 bits. Also the right brain signs metaphor can be given a detailed quantitative content in terms of the analog of music scale associated with the resting potential.

**Category:** Mind Science

[2] **viXra:1409.0189 [pdf]**
*submitted on 2014-09-26 06:56:37*

**Authors:** Matti Pitkänen

**Comments:** 4 Pages.

Negentropic entanglement for which number theoretic entropy characterized by p-adic prime is negative so that entanglement carries information, is in key role in TGD inspired theory of consciousness and quantum biology.

- The key feature of negentropic entanglement is that density matrix is proportional to unit matrix so that the assumption that state function reduction corresponds to the measurement of density matrix does not imply state function reduction to one-dimensional sub-space. This special kind of degenerate density matrix emerges naturally for the hierarchy h
_{eff}=nh interpreted in terms of a hierarchy of dark matter phases. I have already earlier considered explicit realizations of negentropic entanglement assuming that E is invariant under the group of unitary or orthogonal transformations (also subgroups of unitary group can be considered - say symplectic group). One can however consider much more general options and this leads to a connection with topological quantum computation (TQC). - Entanglement matrix E equal to 1/n
^{1/2}factor times unitary matrix U (as a special case orthogonal matrix O) defines a density matrix given by ρ=UU^{†}/n= Id_{n}/n, which is group invariant. One has NE respected by state function reduction if NMP is assumed. This would give huge number of negentropically entangled states providing a representation for some unitary group or its subgroup (such as symplectic group). In principle any unitary representation of any Lie group would allow representation in terms of NE. In principle any unitary representation of any Lie group would allow a representation in terms of NE. - In physics as generalized number theory vision, a natural condition is that the matrix elements of E belong to the algebraic extension of p-adic numbers used so that discreted algebraic subgroups of unitary or orthogonal group are selected. This realizes evolutionary hierarchy as a hierarchy of p-adic number fields and their algebraic extensions, and one can imagine that evolution of cognition proceeds by the generation of negentropically entangled systems with increasing algebraic dimensions and increasing dimension reflecting itself as an increase of the largest prime power dividing n and defining the p-adic prime in question.
- One fascinating implication is the ability of TGD Universe to emulate itself like Turing machine: unitary S-matrix codes for scattering amplitudes and therefore for physics and negentropically entangled subsystem could represent sub-matrix for S-matrix as rules representing "the laws of physics" in the approximation that the world corresponds to n-dimension Hilbert space. Also the limit n→ ∞ makes sense, especially so in the p-adic context where real infinity can correspond to finite number in the sense of p-adic norm. Here also dimensions n given as products of powers of infinite primes can be formally considered.

[1] **viXra:1409.0184 [pdf]**
*submitted on 2014-09-26 07:05:54*

**Authors:** Matti Pitkänen

**Comments:** 20 Pages.

t the 12-note scale could allow mapping to a closed path covering all vertices of icosahedron having 12 vertices and not intersecting itself is attractive. Also the idea that the triangles defining the faces of the icosahedron could have interpretation as 3-chords defining the notion of harmony for a given chord deserves study. The paths in question are known as Hamiltonian cycles and there are 1024 of them. There paths can be classified topologically by the numbers of triangles containing 0, 1, or 2 edges belonging to the cycle representing the scale. Each topology corresponds to particular notion of harmony and there are several topological equivalence classes.

I have also played with the idea that the 20 amino-acids could somehow correspond to the 20 triangles of icosahedron. The combination of this idea with the idea of mapping 12-tone scale to a Hamiltonian cycle at icosahedron leads to the question whether amino-acids could be assigned with a topological equivalence class of Hamiltonian cycle and whether topological characteristics could correspond to physical properties of amino-acids. It turns out that the identification of 3 basic polar amino-acids with triangles containing no edges of the scale path, 7 polar and acidic polar amino-acids with those containing 2 edges of the scale path, and 10 non-polar amino-acids with triangles containing 1 edge on the scale path would be consistent with the constraints on the Hamiltonian cycles. One could of course criticize the lumping of acidic polar and polar aminoacids to same group.

The number of DNAs coding for a given amino-acid could be also seen as such a physical property. The model for dark nucleons leads to the vertebrate genetic code with correct numbers of DNAs coding for amino-acids. It is however far from clear how to interpreted DNAs geometrically and the problem whether one cold understand genetic code geometrically remains open.

**Category:** Mind Science