Previous months: - 0907(1) - 0910(1) - 0911(1) - 1001(1)
[4] viXra:1001.0018 [pdf] submitted on 13 Jan 2010
Authors: Jérôme Chauvet
Comments: 24 pages. Keywords: nonequilibrium, non-commutativity, chronon, Planck's time, Cantor set, Poisson process, coalescence, nuclear magnetic resonance
Mathematics of non-commutative spaces is a rapidly growing research field, which has to date found convincing proof of its legitimacy in the nature, precisely, in quantum systems. In this paper, I evaluate the extension of fundamental non-commutativity to the theory of chemical equilibrium in reactions, of which little is known about its phenomenological implication. To do so, I assume time to be fundamentally discrete, with time values taken at integer multiples of a time quantum, or chronon. By integrating chemical ordinary differential equations (ODE) over the latter, two non-commutative maps are derived. The first map allows excluding some hypothetical link between chemical Poisson process and uncertainty due to non-commutativity, while the second map shows that, in first-order reversible schemes, orbits generate a rich collection of non-equilibrium statistics, some of which have their support close to the Cantor triadic set, a feature never reported for the Poisson process alone. This study points out the need for upgrading the current chemical reaction theory with noncommutativity-dependent properties.
[3] viXra:0911.0026 [pdf] submitted on 9 Nov 2009
Authors: John A. Gowan
Comments: 3 pages, This paper has also been published as a Google "Knol".
Two giants of British science, Newton and Darwin, developed theories of negentropic force in physics and biology. The two scientists are adjacently interred in Westminster Abby, and their theories of gravity and evolution likewise share common ground and a fractal resonance with DNA. Because DNA/RNA is both a replicating molecule and part of the universal 4x3 fractal pattern, the implications for the abundance of life in the Cosmos are enormous.
[2] viXra:0910.0056 [pdf] submitted on 28 Oct 2009
Authors: Vladislav Konovalov
Comments: 2 pages
This theory concerns to systems, which one yet not living, but already and not dead. The solution of a problem of an origin of life lies through a solution of a problem of a genesis protolife, being a link between the living and not living nature.
[1] viXra:0907.0028 [pdf] submitted on 22 Jul 2009
Authors: Terrance Cameron Stewart
Comments: 18 pages. e-mail: TC_STEWART20 (at) YAHOO (dot) COM
This model proposes a minimally constructed replicating protocell that exploits only a positive, a negative and a neutral amino acid to build membranes, genes and ion channels. This transition from chemical to biological evolution would result from a charged peptide that can function as a template to fuse peptide fragments, and act as a membrane gate. The nucleic genetic code may have originated as a single base codon that recognized three types of amino acid residue. A two base codon with three base types could code for nine types of residue. An increase to four base types would produce 16 residue possibilities. The modern code now utilizes a three base codon and four base types to yield 20 types of amino acid. tRNA synthetases and the genetic code appear to be linked together by mutual evolution. The evolving transition to a nucleic code would support a greater variety of amino acids and proteins, and thus complete the creation of life.
[2] viXra:1001.0018 [pdf] replaced on 28 Jan 2010
Authors: Jérôme Chauvet
Comments: 24 pages. Keywords: nonequilibrium, non-commutativity, chronon, Planck's time,
Cantor set, Poisson process, coalescence, nuclear magnetic resonance
Mathematics of non-commutative spaces is a rapidly growing research field, which has to date found convincing proof of its legitimacy in the nature, precisely, in quantum systems. In this paper, I evaluate the extension of fundamental non-commutativity to the theory of chemical equilibrium in reactions, of which little is known about its phenomenological implication. To do so, I assume time to be fundamentally discrete, with time values taken at integer multiples of a time quantum, or chronon. By integrating chemical ordinary differential equations (ODE) over the latter, two non-commutative maps are derived. The first map allows excluding some hypothetical link between chemical Poisson process and uncertainty due to non-commutativity, while the second map shows that, in first-order reversible schemes, orbits generate a rich collection of non-equilibrium statistics, some of which have their support close to the Cantor triadic set, a feature never reported for the Poisson process alone. This study points out the need for upgrading the current chemical reaction theory with noncommutativity-dependent properties.
[1] viXra:1001.0018 [pdf] replaced on 23 Jan 2010
Authors: Jérôme Chauvet
Comments: 24 pages. Keywords: nonequilibrium, non-commutativity, chronon, Planck's time, Cantor set, Poisson process, coalescence, nuclear magnetic resonance
Mathematics of non-commutative spaces is a rapidly growing research field, which has to date found convincing proof of its legitimacy in the nature, precisely, in quantum systems. In this paper, I evaluate the extension of fundamental non-commutativity to the theory of chemical equilibrium in reactions, of which little is known about its phenomenological implication. To do so, I assume time to be fundamentally discrete, with time values taken at integer multiples of a time quantum, or chronon. By integrating chemical ordinary differential equations (ODE) over the latter, two non-commutative maps are derived. The first map allows excluding some hypothetical link between chemical Poisson process and uncertainty due to non-commutativity, while the second map shows that, in first-order reversible schemes, orbits generate a rich collection of non-equilibrium statistics, some of which have their support close to the Cantor triadic set, a feature never reported for the Poisson process alone. This study points out the need for upgrading the current chemical reaction theory with noncommutativity-dependent properties.