Chapter 25
SED and Schroedinger’s Equation

Schrodinger’s equation predicts the evolution of a quantum or sub-atomic system in a mathematical manner that incorporates the concept of a wave function, given the system’s initial conditions such as its state or energy. In this way it is similar to Newton’s 2nd law.

The waves of the wave function in his equation are matter waves. A side effect of particles that have mass and spin or angular momentum. They are waves arising from the basic nature of matter and were first predicted by Louis de Broglie in his PhD thesis in 1908. He posited that if waves behave like particles, perhaps particles can behave like waves.

SED goes on to say that angular momentum or h is found in both matter and light, and this is the key reason why these waves exist. It is just the nature of circular motion, combined with motion in general. Schrodinger should have been aware of this when he formulated his equation during the early days of quantum mechanics.

This equation is highly dependent on Planck’s concept of a minimum of angular momentum or spin that exists in all things.

As we have often said before, h is universal and because it is essential to matter and light its influence cannot be overstated. All sub-atomic particles have angular momentum as defined by Planck’s equation h = mcλ. There is an alternative but similar definition written as ћ = mcƛ, which is called the reduced Planck’s constant and used in Schrodinger’s equation. It is based on the radius of motion rather than the circumference and therefore differs by the constant factor of 2π. Depending on circumstances it is sometimes more convenient.

This idea of a minimum of spin is vital to the concept of matter waves because these waves only exist due to spin. In fact matter itself only exists because of spin. The special spin of energy arising from angular momentum. Let us examine why.

When we say matter has mass and produces matter waves, we mean it is the regular motion of spin that causes this. Spin in the form of a roton or rotating photon containing energy by virtue of h. According to the equation E = hf, energy is how fast h is spinning and because h is incredibly tiny, f must be comparatively large. All that is spinning though are rapidly rotating E-M fields that are the basis of light.

Matter waves come about in sub-atomic particles because the cycle of spin due to the mass or energy in a roton produces the specific wavelength of an associated wave that moves with the particle. This is what de Broglie predicted, and it also determines the wave function that Schrodinger’s equation is concerned with.

Schrodinger’s equation is about these de Broglie, or matter wave travelling along with their uncertainty and predicting the consequential outcome or state of the particle. A particle that has energy, momentum and presence but is still carrying the same uncertainty, all because of the quantum of spin. For it was initially a wave with only wave behaviour, until a measurement interferes with it, and it collapses into a particle spinning with the same amount of h.

Before the particle formed there was angular momentum and energy, acquired from the two parent gamma rays. This was conserved. One h and E from each. One h stayed in the soliton and one left in the neutrino that had very little energy. They each gave nearly all their energy to one child, a matter object or fermion destined never to travel at c. The neutrino glided free, not quite at the speed of light but away very quickly.

Neutrinos are very common. They are zipping by everywhere throughout the universe but usually remain undetected.

The Origin of Everything
(Online Edition)