inverse square a function of logarithmic perception -i/x^2

[LHanawalt]

I once had an experience of light as constituted by equal and opposite exponentials. The second derivative of the complex exponential function (-e^(ix)) and the second derivative of the complex logarithmic function (-i/z^2) seem to provide an analogy.

i*ln''(z) = -i/z^2 (as the location of the observer, the model-maker, the measurer) provides the inverse square relationship that we attribute to gravity--"gravity" a function of perception, not force? (The Weber-Fechner Law and other evidence support the idea that all perception might be logarithmic.)

 

It's crazy, I know--but it would eliminate the need for dark energy and dark matter. And a complex exponential "space" viewed from a complex logarithmic perspective ("time") would give us a flat, steady-state rather than an exponentially expanding universe.

 

The flat, steady-state aspect is indicated mathematically by the fact that the real number line is the real part of minus i/z^2...the real number line representing a mean between exponential and logarithmic curves.http://www.wolframalpha.com/input/?i=i+ln%27%27%28z%29

 

(It would also be an anti-entropic universe. All a very hard sell. But since the current macro-model doesn't work, there may be some tolerance for crazy. At this point I just want to see if the model works mathematically.)