Can the geometry of space-time be responsible for the evolution of a Quantum system?

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Quantum mechanics defines the evolution of its environment in terms of the mathematical properties of a Wave function. Additionally, it assumes a quantum system exists simultaneously as both waves and particles and ONLY repeat ONLY becomes a particle when it interacts with its external world. However, it cannot tell us how or why that happens.

On the other hand, Einstein defines the evolution of a space-time environment in terms of the observable properties of an electromagnetic wave.

Therefore, to define why the geometry of space-time is responsible for the evolution of a quantum system one must show how and why its interactions with it causes it to APPEAR repeat APPEAR to exist simultaneously as both waves and particles.

To do that we must first establish a connection between it and the space-time geometry as defined by Einstein. This can be accomplished because the evolution of both a quantum and space-time environment are defined by a wave. For example, Relativity defines evolution of space-time in terms of the energy propagated by electromagnetic wave while that of a Quantum system is defined 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.

Therefore, one MAY repeat MAY be able to explain why a quantum system appears to exist simultaneously as both a wave and particle if one can define a mechanism for why it ALWAYS repeat ALWAYS appears to exist as a particle when observed or interacts with space-ime and a wave when it does not in terms of the geometry of space-time.

One can do this by using, 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 through time by interaction with its environment.

This is because the science of wave mechanics tells us a wave if confined will cause its energy to be reflected back on itself thereby creating a resonant or standing wave with respect walls of that confinement. This would cause its energy to be concentrated at the point in space. Additionally, wave mechanics also tells us the energy of a standing wave can only take on the discrete or quantized values associated with its fundamental or a harmonic of its resonance system.

Similarly, an electromagnetic wave which is prevented from moving through time will be confined to a specific volume of space causing its energy to be concentrated at the point in space, in the form of a standing wave where a quantum mechanics says 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 that quantum mechanics associates with a particle. This would define why when and electromagnetic wave is prevented from moving freely through space-time its energy is always quantized.

Putting it another way one can explain why a quantum system appears to simultaneously exist a particle and a wave when in REALITY it is only one or the other but not both at the same time and why it ONLY repeat ONLY becomes a particle when observed or interacts with a space-time environment. Additionally, it also defines a mechanism for why a particles energy is ALWAYS quantized.

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