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Lots of folks with good science background come around to help with questions here, so I thought I'd articulate a research topic in mathematical logic where computational science, biostatistics, and number theory intersect. I cannot settle this question in my mind, so it has become advanced in my thoughts over the past few years. Any MCAT with these questions would be impossible. Maybe there are some biostatistics or computational sciences experts around here who will have an opinion. Phenomenologists please share your opinion.
I am trying to find the mathematical logic underlying a functional approach to recurrence of microstate ensembles in complex phenemona such as RNA replication or memory templating. It comes down to thinking about how a computer approximates transcendental numbers pi and e where recurrence and exponential growth are in time, not the trajectory of returning to the same point in space as with a circle, but whether there are logic gates in the recurrent and evolving statistical mechanics of complex biological ensembles as open dynamic systems. How does recurrence in the statistical mechanics of the primordial soup arise in relation to the entropy function which is always increasing. The model system for the question is whether an artificial abiogenetic hydrothermal mound would be a Turing machine.
I am thinking a lot about profusion and Euler's constant and recurrence and pi in the question of what the microarray data from an artificially created abiogenetic hydrothermal mound would constitute.
A abiogenetic hydrothermal mound would convert abiotic precursors such as amino acids, urea, cyanide into an evolving RNA field over time. The RNA field arises naturally through application of pyrophosphate containing volcanic gasses across a temperature and pH gradient especially within a bentonite containing catalytic chamber it seems.
If a scientific institution were to successfully build an abiogenetic chamber and developed the data stream through techniques which are like continuous microarray, would the device become a Turing machine? It feels like a fruitful way to approach biostatistics from computational logic. I think the fundamental question is the same for complex biological ensembles whether it is nucleic acids or memory templating in neural performance. I need to read a lot of math and get much stronger in fixing the context and proper formulation of the questions without any magical thinking or talk.
I am trying to find the mathematical logic underlying a functional approach to recurrence of microstate ensembles in complex phenemona such as RNA replication or memory templating. It comes down to thinking about how a computer approximates transcendental numbers pi and e where recurrence and exponential growth are in time, not the trajectory of returning to the same point in space as with a circle, but whether there are logic gates in the recurrent and evolving statistical mechanics of complex biological ensembles as open dynamic systems. How does recurrence in the statistical mechanics of the primordial soup arise in relation to the entropy function which is always increasing. The model system for the question is whether an artificial abiogenetic hydrothermal mound would be a Turing machine.
I am thinking a lot about profusion and Euler's constant and recurrence and pi in the question of what the microarray data from an artificially created abiogenetic hydrothermal mound would constitute.
A abiogenetic hydrothermal mound would convert abiotic precursors such as amino acids, urea, cyanide into an evolving RNA field over time. The RNA field arises naturally through application of pyrophosphate containing volcanic gasses across a temperature and pH gradient especially within a bentonite containing catalytic chamber it seems.
If a scientific institution were to successfully build an abiogenetic chamber and developed the data stream through techniques which are like continuous microarray, would the device become a Turing machine? It feels like a fruitful way to approach biostatistics from computational logic. I think the fundamental question is the same for complex biological ensembles whether it is nucleic acids or memory templating in neural performance. I need to read a lot of math and get much stronger in fixing the context and proper formulation of the questions without any magical thinking or talk.