84
E.J. Brändas
While the intercell interconnection essentially emerges temporally, the intracell
communication is also spatially linked. This is simply recognized since the intra-cell
configuration, as analysed by the Zubarev-like double time Green function [25], see
Appendix B, entails a cumulative Poisson statistics, see Eq. (4.38), with the parameter λ = 4π/3m and where communication divides into much smaller packages,
i.e. dividing up the unit sphere of the cell into m units for various values of m (remember its relation to the Q-factor of the “resonating tuning fork”). In this vein
it is tempting to speculate how the choices of various factors in this super-genetic
game permits factors that include essentially the first prime factors plus some key
elements from the knowledge of the organized structure of DNA and protein. In addition to observing the presence of the factors 2, 3, 4, 5, 10, 12, 15, 20, 30, 60, see
discussions above, one also observes the inevitable choice of the factor 23 for the
human chromosome (consisting of 23 pairs), each containing 400–4000 genes and
50–250 million base pairs. Some further comments will be given in the conclusion.
Lastly, noting the curious choice 3m = 12, yields a close proximity to the key
case (λ = 1), i.e. λ = 1.047, which favours the one-event case over the zero event
situation while at the same time rapidly approaching the cumulative distribution
with an increasing number of terms, the latter a critical property of the code transfer
process on the microscopic stratum. Unless this observation is an artefact of the
formulation, the deviation of λ from unity, should be experimentally noticeable, cf.
the hypofractionation modality of radiotherapy, Belkic and Belkic [14].
Finally the column vectors of B, i.e. the actual canonical vectors f or F , give
the contents of “telephone calls”. While the encoded diagrams (4.3), (4.4) concern
the memory storage of information, the decoding is read (column wise) via the inverse (unitary) transformation B −1 corresponding to the transpose rotated diagram,
see the tilted view in Fig. 4.2 below. Thus in the revolved diagram, the various
column vectors start with a “1” in the first entry, supplied by the omitted column
in (4.3). Hence data messages, scanned during the decoding process, are scrambled
compared to the stored information given by the vectors of B, but nevertheless simplified by the obvious symmetry of the portrait in Fig. 4.2. Although it is appealing
to continue a more detailed examination and interpretation of neuron dynamics and
their adaptability as well as their potential for any organisms’ behaviour, as built
into the brain, we will here only emphasize the commensurateness of the present
idea with regular genetic and developmental control. Some evidence will, however,
be enunciated in the final stages below.
4.5 Conclusion
As the conclusion is approached, we should briefly address the question how humans had retained some of the cellular mechanisms of learning and memory storage found in simple animals and further, during evolution, developed higher quality
neurons, e.g. the pyramidal neurons in the prefrontal cortex. The modern state of the
art, i.e. how the flow of information from sensory input, coding for a perception and
E.J. Brändas
While the intercell interconnection essentially emerges temporally, the intracell
communication is also spatially linked. This is simply recognized since the intra-cell
configuration, as analysed by the Zubarev-like double time Green function [25], see
Appendix B, entails a cumulative Poisson statistics, see Eq. (4.38), with the parameter λ = 4π/3m and where communication divides into much smaller packages,
i.e. dividing up the unit sphere of the cell into m units for various values of m (remember its relation to the Q-factor of the “resonating tuning fork”). In this vein
it is tempting to speculate how the choices of various factors in this super-genetic
game permits factors that include essentially the first prime factors plus some key
elements from the knowledge of the organized structure of DNA and protein. In addition to observing the presence of the factors 2, 3, 4, 5, 10, 12, 15, 20, 30, 60, see
discussions above, one also observes the inevitable choice of the factor 23 for the
human chromosome (consisting of 23 pairs), each containing 400–4000 genes and
50–250 million base pairs. Some further comments will be given in the conclusion.
Lastly, noting the curious choice 3m = 12, yields a close proximity to the key
case (λ = 1), i.e. λ = 1.047, which favours the one-event case over the zero event
situation while at the same time rapidly approaching the cumulative distribution
with an increasing number of terms, the latter a critical property of the code transfer
process on the microscopic stratum. Unless this observation is an artefact of the
formulation, the deviation of λ from unity, should be experimentally noticeable, cf.
the hypofractionation modality of radiotherapy, Belkic and Belkic [14].
Finally the column vectors of B, i.e. the actual canonical vectors f or F , give
the contents of “telephone calls”. While the encoded diagrams (4.3), (4.4) concern
the memory storage of information, the decoding is read (column wise) via the inverse (unitary) transformation B −1 corresponding to the transpose rotated diagram,
see the tilted view in Fig. 4.2 below. Thus in the revolved diagram, the various
column vectors start with a “1” in the first entry, supplied by the omitted column
in (4.3). Hence data messages, scanned during the decoding process, are scrambled
compared to the stored information given by the vectors of B, but nevertheless simplified by the obvious symmetry of the portrait in Fig. 4.2. Although it is appealing
to continue a more detailed examination and interpretation of neuron dynamics and
their adaptability as well as their potential for any organisms’ behaviour, as built
into the brain, we will here only emphasize the commensurateness of the present
idea with regular genetic and developmental control. Some evidence will, however,
be enunciated in the final stages below.
4.5 Conclusion
As the conclusion is approached, we should briefly address the question how humans had retained some of the cellular mechanisms of learning and memory storage found in simple animals and further, during evolution, developed higher quality
neurons, e.g. the pyramidal neurons in the prefrontal cortex. The modern state of the
art, i.e. how the flow of information from sensory input, coding for a perception and