The ideal gas law;
P*V = k*N*T
k; Bolzmann constant.
P; Pressure
V; Volume
N; Number of particles
T; Temperature
Map the four thermodynamic variables to physical categories;
(Energy,Momentum)
(Time,Space)
(Mass,Charge)
(Gravity,Boson)
The symmetries reflect each other;
((P,V),(N,T))
(((Energy,Momentum),(Time,Space)),((Mass,Charge),(Gravity,Boson)))
The choice of the physical categories is also supported by the common (1,3) symmetry;
Momentum; (Px,Py,Pz)
Space; (x,y,z)
Charge; (Electric,Weak,Color)
Boson; (Light,Weak,Gluon)
Mass and Energy are scalars, Time and Gravity are vectors.
The eight physical categories are fully meshed; each is related to the other seven, although the indicated relationships are the strongest. Thus an 8*8 matrix is needed to contain all relationships.
ATON is a hopefully evolving classification theory. It aspires to unify knowledge around numbers and prefers naive methods. Some of the older posts are wrong but I'll keep them for the sake of continuity.
Thursday, July 21, 2011
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