Some Random Thoughts On Whether The Abiotic Universe Computes Complex Math Structures

biosignatures

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the sequence of digits in pi is! a biosignature really?  have we ***ever*** found them in a natural system?  or only systems designed by living humans?????

welll... duh, in base 10, that's an arbitrary system that evolved with us.  approximate circles exist in nature so distributions of ratios close to pi exists in nature but.. only approximate.. any discrete representation of pi will need to come from an iterating dynamical system, one of which can come from life...

well bar ***** does math exist in nature or did we create it after all????  we didn't create the periodic chart, that's math in nature!  platonic solids... some exist in nature!  fibo numbers exist in nature.

prime numbers?  evolving system of cicadas and predators have computed some prime numbers!

so how much math can physics compute for us and how much requires biology?  so 2000 abiotic minerals are finding many math structures.

could something in the abiotic universe come ***anywhere close*** to finding pi to a million digits, or finding the monster group, or the first million primes or even classifying all finite groups or proving the 5 color theorem?  these are phenomenal tasks

quantum mech found the periodic chart which is a ****very rich structure***  abiotic chem  finds a bunch of topology!  a vibrating box of strings (not 10dimensional ones) can find many knots, could it find all of order n?

physics computes integers by instantiating energy into discrete particles!!!!!

we can build simple machines that compute prime numbers, digits of pi.. why doesn't the universe build these machines?????  or similar ones?  the universe doesn't seem very interested in these kinds of structrures, even though it is capable of much complexity.

biology computes fibo numbers.  those 2 physicists (duaday and...) built a simple machine that computes some, there must be a phyics process that does!    

fluid dynamics creates weird patterns.  jupiter's surface is complex  and saturn's fluid dynamics creates a hexagon.

stars can build numbers up to 98 or 280 or whatever number of nucleons using quantum mech!



bar... biology builds systems with on the order of 10^10 parts, either proteins in cells or cells in brains.

whatabout galaxies?  10^10 stars.  they interact?  can make cool spirals, infinite variety of weird shaped supernova bubble nebula...

solar systems create systems of small integer ratio resonances

gravity is not good at creating medium scale complexity out of equal masses, between 2 and 1000s go to chaos?  and >1000s make glob clusters?  ***any structures in glob clusters?****

and spiral galaxies?  lots of variation any ***detailed*** structure gonna get swamped with 3body chaos!!!!

so gravity is no good.

well so then there are all the phase transitions.  

fluids: couete rolls between 2 cylinders depending on velocities.  

discrete structures of phases in p-t space of elements and compounds

>>>>>is that limitless?  as you increase temp pressure eventually what?  say u do it with h, eventually... can you get incredible pressures but ***not*** high enough temperatures to get fusion?  anyway u eventually get fusion and begin creating periodic chart... i'm confused... all those diff phase transitions of p-t diagram eventually end when you get plasma  >>>>or do they?

anyway if you increase temp >>>>but not pressure?  you eventually create exotic particles like in particle accelerators  higher and higher energy particles??? more massive???  we think we have a chart of them all, but we build ***realy tiny*** particle accelerators!  what gets created in those galactic jets?  in neutron star collisions?  or as you go back in time towards big bang?  that's not a ***boundary*** so asymptotically do we get more and more complex particles?

still bar, how is th universe going to ever find the finite simple groups?

>>>>>wait!  symmetry groups.  we've classified a set of 230 space groups.  when stars created a couple dozen elements and then spewed them into planets... has earth found ***all*** the space groups by creating minerals?


so then why can't the universe find the sequence of primes etc...