Sparring Sparling IV

Since comments on blogs float like corks on the sea, I will bookmark here the interesting remarks of Matti Pitkanen and Carl Brannen on the Abell cluster A586, which is a particularly spherical galaxy cluster. The authors of this recent paper find that, for A586, the ratio of kinetic energy density to potential energy density is $-0.76\pm 0.05$. This is quite different to the value of $-0.5$ expected from the usual virial theorem.

Ignoring interpretations involving the Dark Force, Carl pointed out that the actual value of $-0.75$ was precisely three times the expected value. This may be explained by a higher value for the speed of light, which fits nicely into the preon particle physics, but the actual value of $c$ is not really relevant.

Kinetic energy goes as $v^2=v_1^2+v_2^2+v_3^2$ for a 3-vector $v$. Thus for the three speeds of light, forming a 3-vector $(c_1,c_2,c_3)$, the kinetic energies will add. But if we ignore the three speeds, and substitute instead a value which is the length of $(c_1,c_1,c_1)$, then we would have $c=\sqrt{3}{c}_1$. In the first instance the kinetic energy goes as $\frac{v^2}{c_1^2}$, while in the second it goes as $\frac{1}{3}\frac{v^2}{c_1^2}$. This is why kinetic energy at small cosmological scales is incorrectly defined by a factor of 3. Of course, at small scales this doesn't matter.

This links the mass generators of M theory, which obey the tripled Pauli statistics, to the three time coordinates.