Abstract
Recent attempts to establish the quantum boundaries of life is pursued. A pre-existing view of quantum biology is supplemented by the formulation of modern advances in theoretical chemical physics and quantum chemistry. The extension to open system dynamics entails a self-referential amplification supporting the signature of life as well as consciousness via long-range correlative information, ODLCI. The associated negentropic coherence permeates hierarchical and functional organization at multiple levels. In this communication we will derive and review one of the most important mathematical tools, i.e., the combined use of the Fourier- and the Laplace transform. It is shown that an underlying operator algebra facilitates the formulation of the conjugate relationship between energy-time and momentum-space. Implications from augmented general dilation analytic operator families provide novel information-based representations and yield, inter alia, a thermo-qubit syntax for communication, which are required to support the quantum Darwinian view of life.
Highlights
The present work is part of a transdisciplinary approach of the mind-brain problem
The music of the genes might perhaps in some way correlate with the steady state negentropic coherence of the correlated dissipative structures discussed above
Instead our focus has been concentrated on the particularities of the Fourier-Laplace transform
Summary
The present work is part of a transdisciplinary approach of the mind-brain problem. The principal equations endorse a new mind-brain doctrine, panexperiential materialism contrasting beliefs in emergent consciousness. We have already referred to Balslev-Combes’ theorem for dilation analytic operators (Balslev and Combes, 1971; Reed and Simon, 1978), in order to obtain a rigorous extension of quantum dynamics to incorporate a non-self-adjoint formulation, with dilated operators, complex eigenvalues, and other consequences, such as operator domains and ranges, dense and closed subsets, dilated conjugate relations, etc. The need for these extensions is quite obvious since otherwise there might appear some unexpected results that may sound contradictive. The prime number coding, reminding on Gödel numbering, represents a primary thermo-qubit of fundamental physically objective interactionscorrelations, which, via entropy lowering, balancing entropy production, extends to the genetic cellular machinery and, what is more, to subjective semiotic communications with semantic content, and to consciousness and human intelligence
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