Problems Associated with Transferring of Engineering to Small Scale - Towards Theoretical Nanotechnology

Abstract

This paper is seen as a review of attempts carried out by author in order to indicate problems related to transferring of engineering to smaller scales having in mind theoretical aspects. Two main problems are indicated. The first one is associated with question what kind of theory is appropriate for realization of design of devices and processes related to smaller scales including nanoscale. The second problem is related to determination of source of precision which is necessary for realization of the design. Solution of both problems needs elaboration of appropriate theories. One indicates that unified mechanics of materials based on collection of dynamical systems with dimensional reduction is appropriate for future realization of the design process. This is multi-scale description which unifies discrete models related to atomic scale, including molecular dynamics, and more averaged continuum descriptions. In order to determine corresponding source of precision for small scale processes the vacuum medium mechanics is introduced. Within vacuum medium mechanics we are able to determine attractor, expressed on the most fundamental elementary particle level, and responsible for self-organization manifested in molecular processes. Vacuum medium mechanics is considered as fundamental theory. Therefore we should estimate to what degree such a theory is stable with respect to large set of experimental results. In particular one investigates consequences of vacuum medium mechanics for theoretical biology. One accentuates that mechanisms of biological evolution and source of precision for nanotechnology expressed by means of vacuum medium mechanics are interrelated. Theoretical biology and nanotechnology should be described in consistent way in order to cooperate in a future. Both theories: unified mechanics of materials and vacuum medium mechanics are seen as basis for further development of theoretical nanotechnology.

Formalization of Cognition Process as an Additional Component Responsible for Development of Theoretical Physics

“…Continuum description is a kind of approximation of reality. In particular we should apply continuum with finitedimensional fields for correct approximation of reality [5], [10], where scale of averaging applied to modelling is introduced in formal way.…”

“…Various considerations related to dynamics of processes, especially related to biology, suggest that dynamics of wave function is of key importance for selforganization process [11], [10], [7]. Thereby dynamics of this function can be associated with driven force for biological evolution.…”

“…When this induction is related to diminishing of scale then we have to do with mapping which represents averaging procedure. Such an approach is elaborated in case when we consider formalization of scale of averaging applied to modelling of physical reality [5], [10]. Then theoretical reductionism is not necessarily associated with obtaining another more general theory which leads, as a limiting case, to that previous one.…”

“…However, jump to new set of assumptions gives better chance for introduction of new qualty. Let us mention concept of vacuum medium mechanics [15], [10] which is a jump from widely accepted quantum theories towards entirely new set of assumptions. As a result of this entirely new quality appears.…”

“…As a result of this entirely new quality appears. This new quality is manifested in description of internal structure of proton as composed of three positrons [9], [10] or possibility of expression of mechanism of biological evolution on the most fundamental elementary particle level [10].…”