The Quantum Interface

            As discussed earlier, we have presumed that the interface between psyche and soma, between body and mind if you will, is a fractal at the quantum level. At this level our observable is the psychic mass. The wave function for psychic mass would be,

                                                                Q_p(:/p , t)

which is to say, the psychic wave function, Q_p, is simply a function of psychic mass and time. We can revise one form of the famous Schrodinger equation of quantum mechanics to look something like

where the H with a “hat” over it is called the Hamiltonian operator, i is an imaginary number (i.e., the square root of minus one), h is Planck’s constant written with a bar over it emphasize that it addresses circular frequency. This has been measured to be 1.055 x 10^-27 erg-sec (Treiman, 1999). The last term is a partial derivative of the wave function with respect to time. This equation says that psychic mass exists within a range of possibilities until we measure it, whereupon its wave function will collapse it to a single value.

            Because the Schrodinger equation contains an imaginary number, physicists often use what is called a complex conjugate and denote it by the value’s symbol together with an asterisk. For example if m is used for mass, and m_r and m_i are the real and imaginary parts of the mass respectively, then the complex conjugate of mass would be m* where m*=m_r - im_i. The product of mass and its complex conjugate would simply be the sum of the squares of its real and imaginary parts. The famous quantum physicist, Max Born, discovered that the wave function multiplied by its complex conjugate yields the probability distribution, sometimes called the probability density. Therefore, it is not too farfetched to formulate an equation for the angle of consciousness, 2 as

            We are always conscious at some angle 2 so we can normalize the above equation to look like  

            To measure psychic mass, we need to define a suitable operator, Â, which is called the eigenstate of the psychic mass. The average measurable would then be calculated from

where the bracketed A is the expected value or average observed value of the psychic mass.