# Non-Gaussian Photon Probability Distribution

October 19, 2009 2 Comments

I am very glad to announce that my paper “Non-Gaussian Photon Probability Distribution” has been accepted by the AIP conference Space, Propulsion & Energy Sciences, International Forum (SPESIF) 2010, to be held at John Hopkins in late February 2010.

For those of you who have been following my work for sometime, will recognize that my work is heavily based on experimental data. Therefore, I do expect this paper to substantially increase the rate of change of other scientific discoveries and the development of the technologies of tomorrow.

More details to follow, and abstract below:

This paper investigates the axiom that the photon’s probability distribution is a Gaussian distribution. The Airy disc empirical evidence shows that the best fit, if not exact, distribution is a modified Gamma *mΓ* distribution (whose parameters are *α = r*, *β = r/√u*) in the plane orthogonal to the motion of the photon. This modified Gamma distribution is then used to reconstruct the probability distributions along the hypotenuse from the pinhole, arc from the pinhole, and a line parallel to photon motion. This reconstruction shows that the photon’s probability distribution is not a Gaussian function. However, under certain conditions, the distribution can appear to be Normal, thereby accounting for the success of quantum mechanics. This modified Gamma distribution changes with the shape of objects around it and thus explains how the observer alters the observation. This property therefore places additional constraints to quantum entanglement experiments. This paper shows that photon interaction is a multi-phenomena effect consisting of the probability to interact *P _{i}*, the probabilistic function and the ability to interact

*A*, the electromagnetic function. Splitting the probability function

_{i}*P*from the electromagnetic function

_{i}*A*enables the investigation of the photon behavior from a purely probabilistic

_{i}*P*perspective. The Probabilistic Interaction Hypothesis is proposed as a consistent method for handling the two different phenomena, the probability function

_{i}*P*and the ability to interact

_{i}*A*, thus redefining radiation shielding, stealth or cloaking, and invisibility as different effects of a single phenomenon

_{i}*P*of the photon probability distribution. Sub wavelength photon behavior is successfully modeled as a multi-phenomena behavior. The Probabilistic Interaction Hypothesis provides a good fit to Otoshi’s (1972) microwave shielding, Schurig

_{i}*et al.*(2006) microwave cloaking, and Oulton

*et al.*(2008) sub wavelength confinement; thereby providing a strong case that the photon probability distribution is a modified Gamma

*mΓ*distribution and not a Gaussian distribution.

I will post a copy of this paper to my website iSETI some time before the conference as soon as everything is finalized.

Congratulations Ben! I can hardly wait to read the paper!

Ben, great news! Keep up the good work.