Saturday, May 10, 2014

Hawkins and Black Hole radiation

Hawkins and Black hole radiation

The generalized zeta function can be expressed as a Mellin transform of the kernel of the heat equation which describes diffusion over the four dimensional spacetime manifold in a fith dimension of parameter time.

Temperature is, in my notation, a band width of kinetic energy. So when Hawkins regularizes the axis of symmetry, and puts terms in units of time he has simply determined the sample bandwidth, the Nyquist rate needed to measure variables.  Then he has potential and kinetic energy generating an SNR value, so he determines the minimum redundancy 'ruler'  to measure residual  wave motion in a blackhole.  From there he gets leftovers, radiation leakage unquantized. 

Much of these techniques involve removing engineering approximations. 

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