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One of the difficulties in merging quantum mechanics with Einstein’s Relativistic Theories is its predictive powers are based on the assumption the physical evolution of space and time determines the future while quantum mechanics defines it only in terms the evolution of the mathematical properties of the wave function.

To begin we should start with one of the most basic aspects of the wave function that defines Quantum reality

The physicist John Wheeler asked how can one best define that reality in five words or fewer? he determined the best answer was given by Aatish Bhatia “Don’t look: waves. Look: particles.” That’s quantum mechanics in a nutshell.”

This suggests that we must explain why Don’t look: waves. Look: particles defines the reality of a quantum environment in terms of the physical evolution of space and time.

On way of doing this is to use the fact that both their evolutions are controlled by a wave. For example, Relativity defines it in terms of the energy propagated by electromagnetic wave while Quantum Mechanics defines it in terms of the mathematical evolution of the wave function.

(Einstein provided a mechanism for the propagation an electromagnetic wave through space-time when he defined gravitational energy in terms of a curvature in it. This means one can define the propagation of energy associated it in terms of the alternating curvatures of the peak and valleys of one as it moves it.)

This suggests the wave function that governs the evolution of a quantum environment may be mathematical represented by the electromagnetic wave that governs evolution in the world of Relativity. This means we may be able understand why Don’t look: waves. Look: particles describes quantum reality by looking at how an electromagnetic wave evolves in the space-time environment of Relativity

For example, the science of wave mechanics and Relatively tells us wave energy would move continuously through space-time unless it is prevented from by moving through time by someone observing or something interacting with it. This would result in its energy being confined to three-dimensional space. 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 wave energy to be concentrated at the point in space where a particle would be found. Additionally, wave mechanics also tells us the energy of a resonant system, such as a standing wave which this confinement would create can only take on the discrete or quantized values associated with its fundamental or a harmonic of its fundamental frequency.

The boundaries or “walls” of its confinement would be defined by its wave properties. If an electromagnetic wave is prevented from moving through time it will be reflected back on itself. However, that reflected wave still cannot move through time therefore it will be reflected back creating a standing wave. The wave itself defines its boundaries because if it cannot move though time it MUST STAND in place in the form of a standing wave.

In other words, this shows one can use the established science of wave mechanics and physical world of Relativity to show why when some looks at quantum existence it appears as a particle because that act creates boundaries required to create the resonant system which defines it.

This also shows how one can merge the explanation of quantum mechanics given above of Don’t look: waves. Look: particles” in terms of the evolving space-time environment of Relativity.

For example, it explains why the act of looking at a quantum environment creates the confinement required for the creation of a standing energy wave in three-dimensional space which, as shown above is responsible for the quantize properties of particles in a quantum world.

Yet, if no one is looking the wave properties of that environment will be predominant because it is free to move until they are observed and then they will revert to the back their particle properties.

This shows how one can understand the validity of describing quantum mechanics as “Don’t look: waves. Look: particles” in terms of a deterministic evolutionary processes in a space-time environment.

Copyright Jeffrey O’Callaghan Mar. 2021

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