Most would agree that imagination is powerful tool for scientists when used correctly because it allows them to visuals worlds that are beyond their ability to observe.
However their are some who wrongly believe that they can build successful theoretical models of our world based imagination or concepts that only exist in their minds.
For example Quantum theory defines existence by extrapolating the probabilities associated with SchrÃ¶dingerâ€™s wave equation and its collapse to define a reality in which particles do not exist until an observation is made. In other words it assumes the act of observation or measurement causes the wave function to collapse and particles to mysteriously appear as if by magic at a specific point is space.
They justify this assumption because, using that concept of one can predict with amazing precision the results of every experiment involving the quantum world that has ever been devised to test it.
However it does create a problem for most of us who believe that “reality” is something that can be seen and touched because if SchrÃ¶dingerâ€™s wave equation does does not collapse and continues on even after it is observed one must assume that all of the other possible “realities” it defines must also continue to exist after that observation. In other word if taken literally all other possible outcome of an observation must have a reality of their own.
However because physicists have been unable to define mechanism that would cause the SchrÃ¶dingerâ€™s wave equation to collapse some like Hugh Everett imagined a world in which its does not collapse and all of the other possible “realities” are realized in separate universe. He argues that observing it creates a split in the universe. In other words, in his world the universe makes copies of itself to account for all possibilities and these duplicates proceed independently in separate universes.
The most troubling implication of this concept is that your perception of the world as a whole is never real. In other words he believes we cannot extrapolate the perception of â€œrealityâ€ most of us believe to his world because in his “reality” there are many copies of you in other worlds reading this article at the same time.
However the science of physics is devoted to understanding the physical process responsible for creating the “reality” of our environment based on observing the physical interaction of its real not imagined components. Real in the sense that they can be physically observed and measured.
As mentioned earlier most of us believe that reality is made up of something we can see and touch. However the existence of the multi universe is not based on that but how the mind interprets the abstract probabilities associated with SchrÃ¶dingerâ€™s wave equation. Because of this the fundamental component of the Everett’s multi world theory does not have a presents in the physical reality most of us believe in.
But because as mentioned earlier physics is based on observations one would assume the proper way to proceed would be to define the probabilities associated with SchrÃ¶dingerâ€™s equation in terms of the observable properties of our space-time environment instead of using their abstract non-physical mathematical properties to define their reality.
However one of the difficulties faced by scientist in defining the “reality” of a quantum environment is that most look for in terms of it in terms of the properties of space-time. Unfortunately of time is not something can be seen or touched while that of space is. Therefore it should be easier to develop a theoretical model if we redefine Einstein space-time model of the universe into its equivalent in four *spatial* dimensions.
Einstein gave us the ability to do this when he use the equation E=mc^2 and the constant velocity of light to define the geometric properties of space-time because it provided a method of converting a unit of time he associated with energy to unit of space most can physical sense. Additionally because the velocity of light is constant he also defined a one to one quantitative correspondence between his space-time universe and one made up of four *spatial* dimensions.
The fact that one can use Einsteinâ€™s equations to qualitatively and quantitatively redefine the curvature in space-time he associated with energy in terms of four *spatial* dimensions is one bases for assuming as was done in the article â€œDefining energy?â€ Nov 27, 2007 that all forms of energy can be derived in terms of a spatial displacement in a “surface” of a three-dimensional space manifold with respect to a fourth *spatial* dimension.
However defining the dimensional properties of energy in terms of its spatial instead of it time components would allow one to derive the physicality of SchrÃ¶dingerâ€™s equation by extrapolating the observable properties of our reality to the quantum world it describes.
For example the article â€œWhy is energy/mass quantized?â€ Oct. 4, 2007 showed one can physical derive the quantized wave properties of energy/mass by extrapolating the laws of classical wave mechanics in a three-dimensional environment to a matter wave on a “surface” of a three-dimensional space manifold with respect to a fourth *spatial* dimension.
Briefly it showed the four conditions required for resonance to occur in a classical environment, an object, or substance with a natural frequency, a forcing function at the same frequency as the natural frequency, the lack of a damping frequency and the ability for the substance to oscillate spatial would occur in one consisting of four spatial dimensions.
The existence of four *spatial* dimensions would give a matter wave the ability to oscillate spatially on a “surface” between a third and fourth *spatial* dimensions thereby fulfilling one of the requirements for classical resonance to occur.
These oscillations would be caused by an event such as the decay of a subatomic particle or the shifting of an electron in an atomic orbital. This would force the “surface” of a three-dimensional space manifold to oscillate with the frequency associated with the energy of that event.
The oscillations caused by such an event would serve as forcing function allowing a resonant system or “structure” to be established space.
Therefore, these oscillations in a “surface” of a three-dimensional space manifold would meet the requirements mentioned above for the formation of a resonant system or “structure” in four-dimensional space if one extrapolated them to that environment.
Classical mechanics tells us the energy of a resonant system can only take on the discrete or quantized values associated with it fundamental or a harmonic of its fundamental frequency.
Hence, these resonant systems in four *spatial* dimensions would be responsible for the discrete quantized energy associated with the quantum mechanical systems.
(In the article “The geometry of quarks” Mar. 15, 2009 the internal structure of quarks, a fundament component of particles was derived in terms of a resonant interaction between a continuous energy/mass component of space and the geometry of four *spatial* dimensions)
However assuming its energy is result of a displacement in four *spatial* dimension instead of four dimensional space-time as was done in the article â€œDefining energy?â€ Nov 27, 2007 allows one to not only derive the physicality of the wave properties SchrÃ¶dingerâ€™s equation and what happens when it is observed but also the physical reason why one can only determine the probability of where it will be found before an observation is made
Classical mechanics tell us that because of the continuous properties of waves the energy the article â€œWhy is energy/mass quantized?â€ associated with a quantum system would be distributed throughout the entire “surface” a three-dimensional space manifold with respect to a fourth *spatial* dimension.
For example putting a vibrating or oscillating ball on rubber diaphragm will create a displacement which will be disturbed over its entire surface while the magnitude of that displacement will decrease as one moves away from the point of contact.
However, this means if one extrapolates the “reality’ of a rubber diaphragm to a “surface” of a three-dimensional space manifold one must assume the oscillations associated with each individual quantum system must be disturbed thought the entire universe while spatial displacement associated with its energy defined in the in the article â€œDefining energy?â€ Nov 27, 2007 would decrease as one move away from its position. This means there would be a non-zero probability they could be found anywhere in our three-dimensional environment because, as mentioned earlier the article â€œWhy is energy/mass quantized?â€ shown a quantum mechanical system is a result of a resonant structure formed on the “surface” of a three-dimensional space manifold with respect to a fourth *spatial* dimension.
Yet Classical Wave Mechanics tells us a resonance would most probably occur on the surface of the rubber sheet were the magnitude of the vibrations is greatest and would diminish as one move away from that point,
Similarly an observer would most probably find a quantum system were the magnitude of the vibrations in a “surface” of a three-dimensional space manifold is greatest and would diminish as one move away from that point.
However as mentioned earlier this is exactly what is predicted by Quantum mechanics in that one can define a particle’s exact position or momentum only in terms of the probabilistic values associated with vibrations of its wave function.
As mentioned earlier the foundation of Hugh Everett multi universe theoretical model is the assumption that observations do not cause the wave function collapse and therefore all the all of possible realties it define exist in other universe.
Yet as was shown above the energy associated with the wave function will be redirected towards the observer at the point of observation and would continue on that path until another observation is made.
In other words one can as was done above extrapolate observations of classical environment to the wave function to show that the act of observation makes the unique reality it defines visible to an observer.
However this means even if one assumes the wave function defines multiple realities as Hugh Everett believes the act of an observing it would result in all of them being combined into one directed towards the observer and NOT towards other worlds.
In others words it is not necessary to assume that universe splits when an observation is made to explain why the wave function behaves the way it does because as was shown above one can understand it based on the existence of a single universe.
As mentioned earlier the science of physics is devoted to understanding the physical process responsible for creating the “reality” of our observable environment based on observing the physical interaction of its real not imagined components.
It is true the existence of a fourth “spatial” dimension along with the many worlds of Hugh Everett can only exist in our minds or imaginations because we cannot see or touch them. However as was shown above the explanation provided by existence of four *spatial* dimension is based on the observable properties of our environment while that of the many world in only supported by the unobservable or imagined properties of SchrÃ¶dingerâ€™s wave equation.
As was mentioned earlier imagination is powerful tool for scientists because it allows them to visuals worlds that are beyond their ability to observe. However to conform to the definition of physics given earler the existence of those worlds cannot be not based entirely on their imagined properties but must have a foundation in the observable properties of our environment because that is the only way they can be connected to it.
Copyright Jeffrey O’Callaghan 2015