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.

## Thursday, July 21, 2011

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