Rewriting the general relativity in terms of a Shannon-Hartley channel

I won't do it, but the approach would be to take the time dilation factor, Td in
http://en.wikipedia.org/wiki/Gravitational_time_dilation and convert that euler equation into a Gibbs separation that becomes the SNR value in the Shannon channel rate formula in
http://en.wikipedia.org/wiki/Shannon%E2%80%93Hartley_theorem

But what is the interpretation?  The channel rate is the realized quant rate relative to the rate a standard vacuum can equalize entropy, ending up with timeless ratio.