The process by which energy is converted into matter is the basis on which GUTCP is formed and is termed *Pair Production* since it invariably involves the production of pairs of fundamental particles, for example an electron and a positron.

### Mystery of Fine Structure Constant Solved Edit

Science historians have cited the search for the physical meaning of the fine structure constant, also known as $ \alpha $, as one of the greatest scientific mysteries of the 20th century. The great quantum physicist, Richard Feynman wrote "all good theoretical physicists put this number up on their wall and worry about it."

GUTCP conclusively identifies the physical manifestation of $ \alpha $ as well as its role in particle production. In short, a spherical resonator cavity in free space with a radius equal to $ \alpha a_0 $, where $ a_0 $ is the Bohr radius, will form an LC circuit whose resonance frequency exactly matches the frequency of a photon with the same energy as the electron rest mass, or $ m_0 c^2 $. If a photon with an energy of $ m_0 c^2 $(or greater) collides with a stationary particle, then this volume of space just described (a sphere having a radius of $ \alpha a_0 $) will resonate at its resonate frequency with an energy of $ m_0 c^2 $. Since the impedance of free space goes to infinity at resonance, the photon no longer has a forward linear velocity of c and will have a circular orbital velocity of c. The end result is the creation an electron having a rest mass of $ m_0 c^2 $. In order to conserve angular momentum a second, oppositely polarized, photon must be part of the process as well and forms a positron.

Energy Balance

The following five equivalent forms of energy, each having a physical representation in the transition, govern the pair production process. Each term evaluates to the electron mass of 510998.896 eV:

$ m_0 c^2 = \left ( \hbar \omega^* = {{4 \pi^2 \hbar^2 }\over m_0 \lambda_C^2} \right ) = \alpha^{-1} {e^2 \over 2 \epsilon_0 \lambda_C } = \alpha^{-1}{\pi \mu_0 e^2 \hbar^2 \over (2 \pi m_0)^2 ({\lambda_C \over 2 \pi})^3} = {\alpha h \over 1sec} \sqrt{\lambda_c c^2 \over 4 \pi G m} = 510998.896\,\ eV $

$ \begin{array}{p{1.4cm}cp{1.6cm}cp{1.8cm}cp{2cm}cp{2.3cm}cp{2.7cm}} mass\;\ energy&=& Planck\,\ equation\,\ energy&=& electric\,\ potential\,\ energy &=& magnetic\,\ energy &=& mass/space-\,\ time\,\ metric\,\ energy &=& 510998.896\,\ eV \end{array} $

## Driscoll Summary Edit

Jeff Driscoll has compiled a thorough summary (updated 4/26/2016) of the GUTCP pair production process. There are five energy equations that equate to the electron rest mass, $ m_0 c^2 $ = 511KeV during the process that a superposed photon is converted into an electron/positron pair, which then ionize to infinity. The energies occur at different times of the process and energy is conserved.