Unifying Quantum and Relativistic Theories

3. Deriving the evolution of a quantum environment in terms of space-time.

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Einstein’s Explanation of the Unexplainable

     Quantum mechanics defines the evolution of a quantum environment in terms of the mathematical properties of a wave function which tells us matter exists as both waves and particlesand only collapses or “decides” which one it what’s to be when it interacts with the external world. However, it cannot tell us how or why that happens.  On the other hand, Einstein defined the evolution of space-time in terms of the physically observable properties of an electromagnetic wave.

    Therefore, to define the mathematical evolution of a quantum environment in terms of the physical properties of space-time one must show how and why interactions with it causes it to “decide” if it what’s to be a particle or a wave.

    To do that we must first establish a physical connection between it and the properties of the space-time. This can be accomplished because evolution in both a quantum and space-time environments are defined by a wave. For example, Relativity defines evolution of space-time in terms of the energy propagated by electromagnetic wave while Quantum Mechanics defines its environment in terms of the mathematics of a wave function.

    This commonality suggests the wave function COULD repeat COULD be a mathematical representation of an electromagnetic wave in space-time.

    This means one should be able to use that commonality, the science of wave mechanics and the fact that Relativity tells us an electromagnetic wave moves continuously through space-time unless it is prevented from doing so by an interaction with it to show how and why the wavefunction collapses when it does so.  This is because the science of wave mechanics also tells us the three-dimensional “walls” of this confinement will result in its energy being reflected back on itself thereby creating a resonant or standing wave in three-dimensional space. This would cause its energy to be concentrated at the point in space were a particle would be found. Additionally, wave mechanics also tells us the energy of a resonant system such as a standing wave can only take on the discrete or quantized values associated with its fundamental or a harmonic of its fundamental frequency the wave function associates with a particle.

The boundaries or “walls” of its confinement would be defined by its wave properties. If an electromagnetic wave is prevented from moving through space it will be reflected back on itself. However, that reflected wave still cannot move through it therefore it will be reflected back creating a standing wave. Therefore, the wave itself defines its boundaries because if it cannot move space, it MUST STAND in place in the form of a standing wave called a photon. Putting it another way a particle is a wave that is moving ONLY IN time and NOT THROUGH space.

     As was mentioned earlier Quantum mechanics assumes matter exists as both waves and particlesand only collapses or “decides” what it wants to be after an interaction with the external world.  However, as shown above one can explain how and why that assumption is CORRECT repeat is CORRECT in terms of the physical observable properties of space-time.

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