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Tuesday, September 30, 2014

τo The New Guy On The Block

We would now formulate an expression for the repulsion between hot particles.  The simplest of which is to consider conservation of flux, as Gauss did

FT=TaTb4πτor2

where  FT  is the repulsive thermal force between hot particles,  τ is a measure of the resistance in establishing a thermal gradient between the two particles, and  r  the distance between the hot particles and,  Ta  and  Tb  are temperature on particle  a  and  b.

Not bad for a first guess.

And so, for the post "Not This Way",

Fh=Fsin(θ)=qpq4πεor2sin(θ)

can instead be,

Fh=Fsin(θ)=TpTe4πτor2sin(θ)

and we are fine with diffraction on a straight flat edge.   Tp is the temperature on the photon and  Te  is the temperature on the electron.

Hurra!  More importantly, the Universe now has a counter force to balance gravity.  Hot Banana Mochi safe.