Cool! It’s interesting to me that a nice operad shows up here.

]]>Here is a recent example, we link combinatorics of polytopes (Stanley order polynomials, Ehrhart theory) and zeta values to justify coefficients in a formula of Ramanujan. ]]>

Nice! Thanks!

]]>• M. A. Peterson, Analogy between thermodynamics and mechanics, *American Journal of Physics* **47** (1979), 488-490.

… thermodynamic variables characterizing a system-are actually first-order partial differential

equations for a function which defines the thermodynamics … notion of thermodynamic functions …

after taking a thermodynamics class based on Callen’s thermodynamics class.

]]>You’re right. I keep getting confused about this point. I’ve fixed the notes.

Thanks, this prevented a lot of embarrassment!

]]>The third!

]]>Thank you for that post! It means a lot to me. If you consider the possibility of magnesium (12!) to form the dodecahedron configuration, then we could reach a break through in the understanding of photosynthesis. Its crystal like structures (chlorophyll esp. porphyrin ring) transform the molecules “vibrations” (chaotic movements) to 3d symmetrical impacts on magnesium by four nitrogen atoms with three free valence electrons each.

I know the conflict with Paulis exclusion principle, but I am considering nature to be smart enough to find a way around it. Superposition??

(Sorry, I’m an engineer not mathematician nor physicist and therefore cannot follow or use your formal language, but I am working on the same question in a more practical approach.)

Life has to use the ideal distribution of energy in order to overcome the spontaneous processes. In the end almost all living creatures gain their energy for the most part from photosynthesis. The solution to that seems to me to be Platos and Keplers dodecahedron representing the “aether”: the most dense symmetric form of energy. You just have to align the electrons to it. By doing so, you transform “vibrational” energy to spin energy. Photosynthesis does this with magnesium in a quasi crystal structure (just with one atom) what can be done by men creating superconductors.

Is that comprehensible for you? ]]>

Good! See you!

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