Phase Transition Dynamics of Quantum Information

In the CAP 2019 Congress, my 3 papers cast the Generalized Newton’s Laws (GNL)by the form: GMV=Id in torus S¹, and an Spectrum Triple (G,h, k_B ) as a main scheme.
I present Quantum Information Dynamics, where the information genus is just the intertwining operator inducing reflection positivity and phase transition group acts. The Boltzmann scheme k_B = ∑ⁿ=8√3/n is spectrum series of Heat Equation (HE), which includes classical information and plays a role of vortex spins, the Planck scheme h=∑ⁿ2π√3/n is spectrum series of Schrodinger Equation (SE), which includes quantum information and plays a role of information propagator. Newton’s constant variety G=gcd(k<font size="1">B, h</font>)/(3√3)=2/3 is a normal principle series of hidden symmetric gravity sequences in information groups, Universe and Life.
I found also that quantum information deformations follow a critical rigid automorphism: perimeter length/area ratio μ = G×√3, wgere G=2/3 for all coherent quantum information groups, which means that nature gravity coherent action. But, for free information (gravity-free) group, information growth rate is in cubic form rather than in generic quadratic form:
√3+√3+√3=√3×√3×√3=3√3 and (3√3)⁶=19683. Then there exists an isomorphism between information vortex and Fermat hyper-surfaces.