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Singularity as an ineradicable and preserved property of basic mechanisms of synthesis and functioning of atomic, molecular-biological and neurochemical computational structures


G.M. Alakoz – Dr.Sc. (Eng.), Professor, Adviser, Russian Academy of Missile and Artillery Sciences (Moscow)
A.S. Dobrotvorskiy – System technician,
Autonomous Nonprofit Organization “Institute of behavior” (Moscow)
A.V. Kotov – Dr.Sc. (Med.), Professor, Head of the laboratory, Scientific Research Institute of Normal Physiol-ogy n.a. academician P.K. Anokhin (Moscow)
S.I. Plyaskota – Ph.D. (Eng.), Corresponding Member of the Russian Academy
of Missile and Artillery Sciences (Moscow)
A.A. Salomatov – Ph.D. (Eng.), System Analyst, Autonomous Nonprofit Organization “Institute of behavior”
V.V. Sherstnev – Dr.Sc. (Med.), Professor, Head of the laboratory, Scientific Research Institute of Normal Physiology n.a. academician P.K. Anokhin

This research is based:
on the results of I.M. Sechenov, who proved that any abstract thought must inevitably pass through the phase of "ob-jective thought", which is supported by the real (neuro)physiological structures and mechanisms of their interaction;
on the Academician P.K. Anokhin’sbasic position about the integrative activity of neurons according to which a previously indifferent stimulus can acquire biological significance and become "signal" only at the level of metabolic processes of a convergent neuron;
on the extended interpretation of the canonical Lebesgue’s decomposition,in whichthe singular function is understood as the "exception to the rules" in the lexicographic order of arbitrary nature objects enumeration;
on the Academician A.N. Kolmogorov’s algorithmic approach, which is based on the natural science postulate that in-formation can be "into something" and "about something".
It is shown:
1. The evolution of the living could not bypass the laws and patternsof the primary matter structuring, but could make its "exceptions to the rules" (singularities) so specific for each level of structural and functional complexity.
2. The Lebesgue’s canonical decomposition (in its expanded interpretation) providesa compromise formalized description of the material substrate in which singular functions and discrete set functions ("exceptions to the rules") serve as distinctive features that play a central role in the synthesis and functioning of highly specific material structures of the molecular biological level structural and functional complexity.
3. Lebesgue's formalism indicates that the evolution of all material has been and continues to be carried out on the principles of preserving and transforming the singularities that make up the core of “key-lock”technologies, which focus not on coordinated (coherent) interaction of indistinguishable elements, but on their singular compatibility.
4. Singular compatibility is the basis of integrative activity of neurons, where multilevel "rearrangement" ofsubneuronal molecular biological structures has deep evolutionary roots and plays a central role in the long-term morphofunctional rear-rangement of synapses, mediating in the process of adaptation and learning, chemically and informational heterogeneous ex-citations with dynamically changing topology.

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