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Quantum Theory of the 4-Dimensional Matter Wave – a Model to Intuitively Explain Quantum Theoretical Effects

Randolf Rolff

Published Apr 1, 2016• 0 citations
OpenAlex

Abstract

This paper describes a physical model to intuitively explain quantum theoretical effects. The developed model describes a mechanism, which gives a logical sense to the calculation of probability amplitudes. Hence the double-slit experiment and Schrodinger’s cat become understandable. The here described model is an extension of the physical model described in the prior manuscript “Theory of the 4-dimensional matter wave”. That paper describes a model which postulates a particle as a real matter wave in a 4-dimensional and absolute space. With that theory it is possible to describe the relativistic effects in qualitatively and quantitatively accuracy. The quantum theory of the 4-dimensional matter wave shows that this model already presages a way to explain the quantum theoretical effects. From the introduction of the long extent in the 4th dimension it is not far to a model in which a particle uses many paths simultaneously. It is a conclusive derivation of the quantum theoretical effects using the model to describe the relativistic effects.

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Theory of 4-Dimensional Matter Waves – a Vivid Summary

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The theory of 4-dimensional matter waves describes a physical model which explains the effects of relativity and quantum theory in a unified theory. It explains and quantifies the observations in an intuitive manner. Since in the scientifically and mathematically exact explanations of this theory you can easy lose the whole picture, this is an attempt of a comprehensible summary. The mathematically and logically exact derivations can be found in the listed literature. I hope to hereby support the overall view of the model.

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Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.

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Schrödinger Cat's Experiment's Interpretation and Parallel Universe or Multiple Universes

Rupak Bhattacharya, Pranab Kumar Bhattacharya, Upasana Bhattacharya +7 more

Quantum mechanics provides us most fundamental descriptions of our most early universe, but there is a long-standing debate amongst theoretical physicists about what all these mathematics really mean in real world? The present three-dimensional (3D) universe, we humans experience daily since our birth, is probably just one of an enormous numbers of essentially classical worlds, and all quantum phenomena arise from a universal force of repulsions that prevented many universes (Multiverse) from having identical physical configurations like ours. Probabilities arise only because of our human ignorance as to which in our world an observer occupies a position in space time. This picture is all that is needed to explain bizarre quantum effects such as particles that can tunnel through solid barriers and wave behavior in double-slit experiments or in a warm hole. Our many-interacting-universes approach hinges on our assumption that interactions between deterministically evolving worlds cause all quantum effects. Each world is simply the position of particles in three-dimensional space time, and each would evolve according to Newton’s laws, if there were no inter world interactions. A surprising feature of human approach was that the formulation contains nothing that corresponds to the mysterious quantum wave functions, except in the formal mathematical limit in which the number of worlds becomes infinitely large. Conversely, Newtonian mechanics corresponds to the opposite limit of just one world. Thus, our approach should incorporate both classical and quantum theory. As few as two interacting worlds can result in quantum like effects, such as tunneling through a barrier. Many interacting worlds theory (MIW) explains that rather than standing apart, an infinite number of universes in the early time shared the same space and time as ours. They show that the theory can explain quantum mechanical effects while leaving open the choice of theory to explain the universe at large scales. This is a fascinating new variant of multiverse theory that, in a sense, creates not just a doppelganger of everyone but an infinite number of them all overlaying each other in the same space and time. The fine tuning of parameters required to reproduce our present day universe suggests that our universe may simply be a region within an eternally inflating super-region. Many other regions beyond our observable universe might have existed in earlier times with each such universe governed by a different set of physical parameters and laws. Collision between these regions, if they occurred, should have left signatures of anisotropy in the cosmic microwave background (CMB) but have not been seen yet. We assess different mechanisms for this residual emission and conclude that although there is a 30% probability that noise fluctuations may cause foregrounds to fall within 3σ of the excess, there is less than a 0.5% probability that foregrounds can explain all the excess. A plausible explanation is that the collision of our universe with an alternate universe, whose baryon to photon ratio is a factor of ∼ 4500 larger than ours, could produce enhanced Hydrogen Paschen-series emission at the epoch of recombination. Future spectral mapping and deeper observations at 100 and 217 GHz are needed to mitigate systematics arising from unknown galactic foregrounds and to confirm this unusual hypothesis. After careful analysis of the spectrum of the CMB, Chary et al. found a signal that was about 4500x brighter than it should have been, based on the number of protons and electrons. Scientists believe that this existed in the very early universe. Indeed, this particular signal, an emission line that arose from the formation of atoms during the era of recombination is more consistent with a universe whose ratio of matter particles to photons is about 65x greater than our own. There is a 30% chance that this mysterious signal is just noise, and not really, a signal at all; however, it is also possible that it is real, and exists as a parallel universe. Keywords : Quantum mechanics, multiverse, Newtonian mechanics Cite this Article Pranab Kumar Bhattacharya, et al . Schrodinger Cat's Experiment's Interpretation and Parallel Universe or Multiple Universes. Research and Reviews: Journal of Space Science and Technology. 2016; 5(1): 35–52p.

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Journal of the Physical Society of Japan•Apr 15, 1995•2 citations
This paper describes a physical model to intuitively explain quantum theoretical effects. The developed model describes a mechanism, which gives a logical sense to the calculation of probability amplitudes. Hence the double-slit experiment and Schrodinger’s cat become understandable. The here described model is an extension of the physical model described in the prior manuscript “Theory of the 4-dimensional matter wave”. That paper describes a model which postulates a particle as a real matter wave in a 4-dimensional and absolute space. With that theory it is possible to describe the relativistic effects in qualitatively and quantitatively accuracy. The quantum theory of the 4-dimensional matter wave shows that this model already presages a way to explain the quantum theoretical effects. From the introduction of the long extent in the 4th dimension it is not far to a model in which a particle uses many paths simultaneously. It is a conclusive derivation of the quantum theoretical effects using the model to describe the relativistic effects.
The theory of 4-dimensional matter waves describes a physical model which explains the effects of relativity and quantum theory in a unified theory. It explains and quantifies the observations in an intuitive manner. Since in the scientifically and mathematically exact explanations of this theory you can easy lose the whole picture, this is an attempt of a comprehensible summary. The mathematically and logically exact derivations can be found in the listed literature. I hope to hereby support the overall view of the model.
Abstract The double-slit experiment is a classic experiment that presents the clearest manifestation of wave-particle duality, one of the fundamental principles of quantum mechanics. The double-slit experiment still remains the phenomenon that demonstrates wave-particle duality at the most fundamental level. This phenomenon quantitatively and conceptually demonstrates that microscopic objects can behave like both waves and particles at the same time. This article provides an in-depth analysis of the physical nature of dualism, the mechanism of formation of the interference pattern, and the impact of the act of observation on the dynamics of quantum systems. The need for a new perspective on this topic is due to the fact that the current uncertainty in the interpretation of quantum reality has not yet been completely eliminated, and the boundaries between classical and quantum behavior in microscopic objects are still being explored. The results presented here restructure the deep mechanisms of the interference picture, more clearly frame the relationship between observation and wavefunction collapse, and provide a quantum. Since the article attempts to provide a complete answer to the mechanism of the formation of wave-particle duality, extensive space is given to sections such as historical development, theoretical models, modern research, etc. New approaches to this phenomenon have been developed using modern research and string theory. As a result, a new mathematical expression has been proposed that explains the reasons for the initial emergence of wave-particle duality, and is also important for string theory. The article explains the measurement problem with a more effective physical structure and ontological model.
Quantum mechanics provides us most fundamental descriptions of our most early universe, but there is a long-standing debate amongst theoretical physicists about what all these mathematics really mean in real world? The present three-dimensional (3D) universe, we humans experience daily since our birth, is probably just one of an enormous numbers of essentially classical worlds, and all quantum phenomena arise from a universal force of repulsions that prevented many universes (Multiverse) from having identical physical configurations like ours. Probabilities arise only because of our human ignorance as to which in our world an observer occupies a position in space time. This picture is all that is needed to explain bizarre quantum effects such as particles that can tunnel through solid barriers and wave behavior in double-slit experiments or in a warm hole. Our many-interacting-universes approach hinges on our assumption that interactions between deterministically evolving worlds cause all quantum effects. Each world is simply the position of particles in three-dimensional space time, and each would evolve according to Newton’s laws, if there were no inter world interactions. A surprising feature of human approach was that the formulation contains nothing that corresponds to the mysterious quantum wave functions, except in the formal mathematical limit in which the number of worlds becomes infinitely large. Conversely, Newtonian mechanics corresponds to the opposite limit of just one world. Thus, our approach should incorporate both classical and quantum theory. As few as two interacting worlds can result in quantum like effects, such as tunneling through a barrier. Many interacting worlds theory (MIW) explains that rather than standing apart, an infinite number of universes in the early time shared the same space and time as ours. They show that the theory can explain quantum mechanical effects while leaving open the choice of theory to explain the universe at large scales. This is a fascinating new variant of multiverse theory that, in a sense, creates not just a doppelganger of everyone but an infinite number of them all overlaying each other in the same space and time. The fine tuning of parameters required to reproduce our present day universe suggests that our universe may simply be a region within an eternally inflating super-region. Many other regions beyond our observable universe might have existed in earlier times with each such universe governed by a different set of physical parameters and laws. Collision between these regions, if they occurred, should have left signatures of anisotropy in the cosmic microwave background (CMB) but have not been seen yet. We assess different mechanisms for this residual emission and conclude that although there is a 30% probability that noise fluctuations may cause foregrounds to fall within 3σ of the excess, there is less than a 0.5% probability that foregrounds can explain all the excess. A plausible explanation is that the collision of our universe with an alternate universe, whose baryon to photon ratio is a factor of ∼ 4500 larger than ours, could produce enhanced Hydrogen Paschen-series emission at the epoch of recombination. Future spectral mapping and deeper observations at 100 and 217 GHz are needed to mitigate systematics arising from unknown galactic foregrounds and to confirm this unusual hypothesis. After careful analysis of the spectrum of the CMB, Chary et al. found a signal that was about 4500x brighter than it should have been, based on the number of protons and electrons. Scientists believe that this existed in the very early universe. Indeed, this particular signal, an emission line that arose from the formation of atoms during the era of recombination is more consistent with a universe whose ratio of matter particles to photons is about 65x greater than our own. There is a 30% chance that this mysterious signal is just noise, and not really, a signal at all; however, it is also possible that it is real, and exists as a parallel universe. Keywords : Quantum mechanics, multiverse, Newtonian mechanics Cite this Article Pranab Kumar Bhattacharya, et al . Schrodinger Cat's Experiment's Interpretation and Parallel Universe or Multiple Universes. Research and Reviews: Journal of Space Science and Technology. 2016; 5(1): 35–52p.
This book “Foundation of quantum mechanics in Dual 4-dimension space-time——The spacetime origin of quantum probability,” is a new exploration discussing the physical foundations of quantum mechanics. It contains two parts. One is the interactive realism, the other is the quantum mechanical description of the dual-4 dimensional spacetime. The first one is the philosophical basis of the second. The author thought that the conventional mass-point model is no long proper for the microscopic quantum world. The author used the movement of the rotating matter wave sphere in complex space to deduce the de Broglie matter-wave formula, and pulled the metaphysical hypothesis of the wave function back into the real physical realism. A matte wave is the physical wave, and it has potential applications. The matter wave transfers in the dual-4 dimensional complex space-time, and the complex number enters the cognition domain of space-time intrinsically. The author pointed out that, the state of a moving microscopic object is the combination of its eigen-states from quantum slicing, coherent hence; after quantum measurement, projected into the real 4-dimensional space-time and showing a probability distribution of point particles. Before and after the quantum measurement, the object is not in the same cognition level, nor the same physical space-time, and the Hilbert space is just their common math application space. The quantum measurement induces the transition of the microscopic object in space-time, manifestation, physical model, and theoretical structure, and the quantum probability comes from the space distribution of the field matter sphere, representing the transition from dual-4 complex to real 4-dimensional space-time, and the sphere to the point model. Physical phenomena, phenomenal entity, physical space-time, physical model, and theoretical structure all must consist intrinsically in logic. These are changing with the change of human cognition, embodying the unity of the human being and the nature. Dual-4 dimensional space-time quantum mechanics gives the wave function the physical realism. So, the concepts of the quantum entanglement, quantum communication and quantum teleportation all may be clarified and understood physically. The book is self-consistent with detailed justification, wherein the interactive realism concept is a new innovation.
The aim of the paper is to show the fundamental advantage of the Euclidean Model of Space and Time (EMST) over Special Relativity (SR) in the field of wave description of matter. The EMST offers a unified description of all particles of matter as waves moving through four-dimensional Euclidean space at the speed of light. Unlike the usual description in three dimensions, where the group and phase velocities of a particle differ, in four-dimensional space the wave and the associated particle can be treated as a single object. The paper deepens understanding of the EMST as a viable alternative to SR. The EMST clarifies the origin of relativistic phenomena and at the same time explains the apparent mysteries associated with the wave nature of matter. From the broader perspective, the EMST has all the prerequisites to become the starting point for the mutual combination of “relativistic” and “quantum” physics into a single physical theory.