Lie-admissible irreversible biological entanglements and their apparent initiation of hadronic medicine

Abstract

In a preceding paper, two of us (R. M. S. and Th. V.) initiated the mathematical representation of life intended as the difference between organic and inorganic molecules, via the Lie-admissible hyperstructural branch of hadronic mechanics representing the size of biological entities, their contact interactions and their irreversibility over time. In this paper, we review the time reversal Lie-isotopic branch of hadronic mechanics, as well as its Lie-admissible covering, by showing that 20th century reversible Lie theories can be extended to an irreversible form by adding symmetric Jordan algebra brackets to antisymmetric Lie brackets. We then introduce, apparently for the first time: a Lie and Jordan admissible axiomatic formulation of the two directions of time; the Lie and Jordan admissible irreversible formulation of biological entanglements; their lack of visible use of energy; and a smooth connection between hadronic uncertainties at small distances and full determinism at classical distances. We then show that biological entanglements can provide a quantitative representation of the behavior by biological entities beyond our sensory perception, with expected diagnostic and curative values suggesting the apparent initiation of the novel hadronic medicine.