Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Sunqm-6s1: Using Bohr Atom, {N,n} QM Field Theory, and Non-Born Probability to Describe a Photon’s Emission and Propagation

Yi Cao

Published Feb 1, 2021• 0 citations
OpenAlex

Abstract

In this paper, we developed several new methods to describe a photon’s emission and propagation process: 1) To explain a photon that emitted from a Bohr atom from the n=3 to n=2 electron orbit transition, we added a virtual electron that doing RF rotation in a virtual 2D orbit with n=2.43, and it can intuitively explain the frequency and the transverse wave of the photon; 2) Using the newly designed {N,n} QM field theory and the non-Born probability (NBP), we described the photon’s emission and propagation process as a series excitation of a {N,n} QM field’s nLL QM state from low n to high n (e.g., from the {N,n} QM field’s ground state n=1, or |1,0,0> to the first excited state n=2, or |2,1,1>, then to the second excited n=3, or |3,2,2>, and then to the third excited state n=4, or |4,3,3>, …). To describe a photon (that propagated to high n in the {N,n} QM field) with a limited size, in the NBP density formula (of the nLL QM state in the {N,n} QM field), we used the multiplier n’ for the exponential index so that we can describe a photon with any appropriate size that we want; 3) We hypothesized that a photon has an onion-like multi-shells physical structure (a superposition of many QM states), and has a “standard” size of about 100x of its wavelength. We explained a photon’s wave-particle duality as that its out-shells have the wave character, while its inner core has the particle character. We explained a photon’s double-slit experiment as that its out-shell wave’s interference guided its inner core’s particle motion; 4) We explored the possibility that whether the redshift (with Hubble’s constant ~ 70 (km/s)/Mpc) is the natural attribute of the photon propagation; 5) Alternatively, we used only two QM states to describe a photon’s emission and propagation: the ground state of {N,n} QM field |1,0,0> and the excited state of {N,n} QM field |2,1,1>, with r1 = c * t, so that the speed of the light c is incorporated into the description. 6) We believe that the {N,n} QM field theory can be used for other particles’ description as well. Finally, we explained the physical meaning of the matter wave’s wave function as the NBP 3D distribution of a particle/celestial body’s movement trajectory (that is described by the Schrodinger equation).

Related papers

Sunqm-7: Using {N,n} QM, Non-Born-Probability (NBP), and Simultaneousmulti-Eigen-Description (Smed) to Describe Our Universe

Yi Cao

{N,n} QM contains two major parts: the Bohr formula-based part and the Schrodinger equation-based part. 1) For the Bohr formula-based part, after combining all results from the previous SunQM series papers, a {N,n//6} QM Structure (Master) Periodic Table (with N = -23..15, n = 1..12) is established. A summarized result of the {N,n//6} QM structure has been given for each region of this (Master) Periodic Table, including the cosmic {N,n//6} QM (at N > 5), the Solar {N,n//6} QM (at N= 5..-5), the chemical bond dominated world (at N= -2..-11), the atomic and nuclear {N,n//6} QM (at N= -12..-15), and the elementary particles and sub-quark {N,n//6} QM (at N ≤ -16). The common properties (that across all regions of the Master Period Table) has been discussed. For example, by adding many short-life intermediate states (n’ = 1..6^6) in between the major quantum state n=1..5, we can transform a quantum description (with n=1..5} into a (continuous) classical physics description (with n’ = 1..6^6). 2) For the Schrodinger equation-based part, we summarized that how to use {N,n//6} QM plus non-Born probability (NBP) plus Simultaneous-Multi-Eigen-Description (SMED) to describe a planet (or an atom in this planet) that orbiting around Sun, and a photon that propagating away (or towards to) a (Bohr) atom (and it can also be used for a 180° scattering). We further discussed the possibility to extend this description for any kind of movement (elliptical/parabolic/hyperbolic orbiting, scattering, etc.), with any inclination/eccentricity/precession. We also discussed how to use Schrodinger equation/solution for the N-body movement description. We pointed out that there is a conceptual difference between the {N,n} QM and the traditional QM in describing the H-atom’s electron orbit: while the probability (i.e., the Born probability) is the foundation of the traditional QM, the single trajectory (i.e., NBP peak’s time-dependent trajectory) is the foundation of the {N,n} QM (although this single trajectory will pick one of the many possible tracks based on the probability). 3) In the cosmic {N,n//6} QM, we explored the possibility that those super large cosmic “great walls” with distances ~ 9E+9 light-years from Earth are the (~ 9E+9 years old) self-images of our own Milky Way galaxy and be viewed at different angles. If this is correct, then our universe may should be a positive curved 3D space, with the circumference of ~ 9E+9 light-years. This means, just like we are practically living in the 2D spherical space on the surface of a 3D ball something (i.e., a planet), we may practically live in the 3D spherical space on the surface of a 4D ball something. 4) We pointed out that the wave mechanics is equally powerful as that of particle mechanics in solving a QM problem, and a particle mechanics based holographic-description and SMED is waiting to be developed. 5) Because the Bohr formula rn = r1 * n^2 correlates to the (free-fall) accelerated distance formula d = (1/2) *g *t^2 and Newton formula F = m * a, we believed that Bohr formula is the Number-One important formula in physics. We believed that all these results make {N,n} QM theory becomes one of the most (roughly) completed and (roughly) self-consistent theories in physics.

•Nov 1, 2021•0 citations

Quantum Mechanics

David Bensimon

Chapter 4 deals with Quantum Mechanical (QM) phenomena. The first section describes the first attempts at quantization of energy, momentum, angular momentum, etc. We start with Plank's solution to the black-body problem, introducing the concept of photons: discrete packets of electromagnetic energy. We show how Plank's description of black-body radiation is perfectly fit by the cosmic microwave radiation, providing the strongest evidence for the Big-Bang at the origin of the Universe. We then describe Bohr's solution to the paradoxical stability of atoms, introducing quantization of angular momentum (or action) and correctly predicting the energy levels of the hydrogen atom. We show how Einstein used Plank's idea to explain the photo-electric effect (an effect exploited in CCD cameras and solar cells) and how he used Bohr's understanding of energy levels in atoms to provide an intuitive explanation of Plank's law. Einstein insight opened the way to the field of spectroscopy and the development of the laser. In the second section, following the lead of Dirac, we show that QM is equivalent to Linear Algebra in the space of complex functions (which describe the state of the system). We show that Schrödinger's equation is a natural consequence of that description, once the relation between energy and frequency established by Plank (for photons) and de Broglie (for particles) is taken into account. In the context of the chiral ammonia molecule we discuss the queerness of QM which describes physical systems as superposition of states (such as left and right chirality state of a molecule, dead and alive cat). We show that this queerness is nonetheless supported by experiments and is behind much of our technology: masers and lasers, atomic clocks, semiconductors (diodes, transistors, etc.). In the following section we introduce the representation of operators in QM (the equivalent of matrices in linear algebra): momentum, position, energy, etc. which correspond to measurements on the system. We show that the non-commutability of some operators (common with matrix operations) leads to Heisenberg uncertainty principle: the position and momentum of a particle cannot be determined with absolute precision. We discuss the solution of Schrödinger's equation for free particles demonstrating their equivalence with EM phenomena: particles undergo refraction and diffraction, exemplifying the particle/wave duality inherent to QM systems. We discuss QM tunneling and its use in the Scanning Tunneling Microscope. In the following section we study Dirac's equation: the successful attempt by Dirac to unify QM with Einstein's relativity, with the resulting prediction of anti-particles and spin. We then solve for the energy levels of electrons in the hydrogen atom (from Schrödinger's equation) and show that the existence of spin profoundly affects the behavior of electrons in an atom: they cannot share the same energy level, a rule known as Pauli's exclusion principle. Pauli's principle is central to the understanding of the chemical properties of atoms and fully explains Mendeleev's periodic table of the elements. In the next section we discuss along with two exactly soluble systems (diatomic rotational and vibrational levels), various approximations used to study systems (e.g. molecules) for which there are no analytical solutions. In particular, we introduce Pauling's variational approach, Hückel molecular orbital theory and time independent perturbation theory. We apply those approaches to determine the energy levels in alkenes, in multi-electron atoms and in systems under constant electric or magnetic field (such as in Magnetic Resonance Imaging). In the last section we discuss time dependent perturbation theory. We use it to establish the rules allowing for transitions between energy levels and revisit Einstein description of absorption/emission phenomena.

CRC Press eBooks•Nov 17, 2021•0 citations

Inner Processes of Photon Emission and Absorption

Dirk John Pons

Problem- There are deep unanswered questions about photon emission, specifically how the field structures of the photon emerge from the electron. While this problem cannot be answered from within quantum mechanics, due to its premise that particles are zero dimensional points, other theories of physics have better prospects. Purpose- A conceptual theory is developed for the processes of photon emission and absorption, in a non-local hidden-variable (NLHV) design called the Cordus theory. Approach- Logical inference is used to predict the structures of the discrete fields of the photon and electron under this framework. From this is extracted an explanation of how electron bonding constraints require the electron to emit its excess energy, and how the photon is created and emerges from the electron. Findings- Emission is found to be an escapement mechanism whereby matter particles that are over-prescribed in position can get rid of that energy, and the details of this are explained. The results show excellent qualitative agreement with classical electromagnetic wave theory and quantum mechanics, many conceptual features of which can be recovered. Originality- A novel conceptual theory is developed for the processes of photon emission and absorption. Particularly important here is the proposed causality whereby bonding constraints affect geometric span of the particule, which affects frequency. Hence this constrains the energy that the electron can contain, and explains why the emitted photon has a specific quantum of energy. A second contribution is the proposed differentiation between the discrete fields of the photon and electron. This yields an explanation for the exponential nature of the evanescent field, and recovery of the inverse radius squared relationship for the electro-magneto-gravitational fields. The theory also offers a physical interpretation of the fine structure constant α as a measure of the transmission efficacy of the fabric, i.e. α determines the relationship between the electric constant of the vacuum fabric, and the speed of propagation c through the fabric. There is further novelty in achieving this from the non-local hidden-variable sector of physics. Implications- Quantum mechanics originated with the observation that the movement of electrons between orbitals resulted in emission of photons with discrete quanta of energy. However it does not explain how the transitions occur. The original contribution here is showing that a solution does exist in NLHV physics. Assuming this is valid then the implications are that particles have internal structure and that quantum mechanics is merely a quantitative statistical summary of a deeper physics.

Applied Physics Research•Jul 14, 2015•11 citations

The Hydrogen Atom and Its Colorful Photons

Frank S. Levin

Abstract The energies, kets and wave functions obtained from the Schrödinger equation for the hydrogen atom are examined in Chapter 9. Three quantum numbers are identified. The energies turn out to be the same as in the Bohr model, and an energy-level diagram appropriate to the quantum description is constructed. Graphs of the probability distributions are interpreted as the electron being in a “cloud” around the proton, rather than at a fixed position: the atom is fuzzy, not sharp-edged. The wavelengths of the five photons of the Balmer series are shown to be in the visible range. These photons are emitted when electrons transition from higher-excited states to the second lowest one, which means that electronic-type transitions underlie the presence of colors in our visible environment. The non-collapse of the atom, required by classical physics, is shown to arise from the structure of Schrödinger’s equation.

•Sep 21, 2017•0 citations

Summarizing what we know about the photon

Harry Paul

How can we construct a picture of the photon from the wealth of observation material available to us? The photon appears to have a split personality: it is neither a wave nor a particle but something else which, depending on the experimental situation, exhibits a wave- or a particle-like behavior. In other words, in the photon (as in material particles such as the electron) the particle–wave dualism becomes manifest. Whereas classically the wave and the particle pictures are separate, quantum mechanics accomplishes a formal synthesis through a unified mathematical treatment. Let us look first at the wave aspect familiar from classical electrodynamics, which seems to be the most natural description. It makes all the different interference phenomena understandable, such as the “interference of the photon with itself” on the one hand and the appearance of spatial and temporal intensity correlations in a thermal radiation field on the other (which are obviously brought about by superposition of elementary waves emitted independently from different atoms). It might come as a surprise (at least for those having quantum mechanical preconceptions) that the classical theory is valid down to arbitrarily small intensities: the visibility of the interference pattern does not deteriorate even for very small intensities – the zero point fluctuations of the electromagnetic field advocated by quantum mechanics do not have a disturbing effect – and is valid not only for conventional interference experiments but also for interference between independently generated light beams (in the form of laser light).

Cambridge University Press eBooks•May 20, 2004•0 citations

Sunqm-4s1: is Born Probability Merely a Special Case of (The More Generalized) Non-Born Probability (NBP)?

Yi Cao

In SunQM-4, to build a full-QM deduced Solar system’s 3D probability density map with time-dependent orbital movement, we developed a non-Born probability (NBP) method. In the current paper, we showed that NBP is directly proportional to the wave function (rather than Born probability’s conjugated-squared wave function). For a cos(x) wave function, its NBP is simply to lift-up wave function by one to make its min =0, and then divided by two to make its max =1, so its NBP = [1 + cos(x)]/2. The trigonometric formula [1 + cos(x)]/2 = [cos(x/2)}^2 revealed that for a planet doing orbital movement in Solar system, its NBP ground state is n=1, and its Born probability ground state is n = 1/2. We showed that NBP is valid not only for {N,n} QM’s nLL QM state, but also for the 1D infinity deep square potential well QM, for the circular 1D QM, and for the plane wave QM. NBP demonstrates more direct and intuitive physical meaning than that of Born probability. In contrast to that Born probability is only for the standing wave function, NBP is for a uni-directional traveling wave function (which naturally includes the linearly combined two opposite-directional traveling waves, or a standing wave). Therefore, Born probability is possible merely a special case of (the more generalized) NBP. With NBP, we may explain the flute sound wave (an air mass density vibration) mechanics directly as the 1D quantum mechanics! This may significantly change our view on QM and its application on our daily-life-world’s (Newtonian) physics. The planet formation through accretion is also discussed by using NBP.

•May 1, 2020•0 citations
In this paper, we developed several new methods to describe a photon’s emission and propagation process: 1) To explain a photon that emitted from a Bohr atom from the n=3 to n=2 electron orbit transition, we added a virtual electron that doing RF rotation in a virtual 2D orbit with n=2.43, and it can intuitively explain the frequency and the transverse wave of the photon; 2) Using the newly designed {N,n} QM field theory and the non-Born probability (NBP), we described the photon’s emission and propagation process as a series excitation of a {N,n} QM field’s nLL QM state from low n to high n (e.g., from the {N,n} QM field’s ground state n=1, or |1,0,0> to the first excited state n=2, or |2,1,1>, then to the second excited n=3, or |3,2,2>, and then to the third excited state n=4, or |4,3,3>, …). To describe a photon (that propagated to high n in the {N,n} QM field) with a limited size, in the NBP density formula (of the nLL QM state in the {N,n} QM field), we used the multiplier n’ for the exponential index so that we can describe a photon with any appropriate size that we want; 3) We hypothesized that a photon has an onion-like multi-shells physical structure (a superposition of many QM states), and has a “standard” size of about 100x of its wavelength. We explained a photon’s wave-particle duality as that its out-shells have the wave character, while its inner core has the particle character. We explained a photon’s double-slit experiment as that its out-shell wave’s interference guided its inner core’s particle motion; 4) We explored the possibility that whether the redshift (with Hubble’s constant ~ 70 (km/s)/Mpc) is the natural attribute of the photon propagation; 5) Alternatively, we used only two QM states to describe a photon’s emission and propagation: the ground state of {N,n} QM field |1,0,0> and the excited state of {N,n} QM field |2,1,1>, with r1 = c * t, so that the speed of the light c is incorporated into the description. 6) We believe that the {N,n} QM field theory can be used for other particles’ description as well. Finally, we explained the physical meaning of the matter wave’s wave function as the NBP 3D distribution of a particle/celestial body’s movement trajectory (that is described by the Schrodinger equation).
{N,n} QM contains two major parts: the Bohr formula-based part and the Schrodinger equation-based part. 1) For the Bohr formula-based part, after combining all results from the previous SunQM series papers, a {N,n//6} QM Structure (Master) Periodic Table (with N = -23..15, n = 1..12) is established. A summarized result of the {N,n//6} QM structure has been given for each region of this (Master) Periodic Table, including the cosmic {N,n//6} QM (at N > 5), the Solar {N,n//6} QM (at N= 5..-5), the chemical bond dominated world (at N= -2..-11), the atomic and nuclear {N,n//6} QM (at N= -12..-15), and the elementary particles and sub-quark {N,n//6} QM (at N ≤ -16). The common properties (that across all regions of the Master Period Table) has been discussed. For example, by adding many short-life intermediate states (n’ = 1..6^6) in between the major quantum state n=1..5, we can transform a quantum description (with n=1..5} into a (continuous) classical physics description (with n’ = 1..6^6). 2) For the Schrodinger equation-based part, we summarized that how to use {N,n//6} QM plus non-Born probability (NBP) plus Simultaneous-Multi-Eigen-Description (SMED) to describe a planet (or an atom in this planet) that orbiting around Sun, and a photon that propagating away (or towards to) a (Bohr) atom (and it can also be used for a 180° scattering). We further discussed the possibility to extend this description for any kind of movement (elliptical/parabolic/hyperbolic orbiting, scattering, etc.), with any inclination/eccentricity/precession. We also discussed how to use Schrodinger equation/solution for the N-body movement description. We pointed out that there is a conceptual difference between the {N,n} QM and the traditional QM in describing the H-atom’s electron orbit: while the probability (i.e., the Born probability) is the foundation of the traditional QM, the single trajectory (i.e., NBP peak’s time-dependent trajectory) is the foundation of the {N,n} QM (although this single trajectory will pick one of the many possible tracks based on the probability). 3) In the cosmic {N,n//6} QM, we explored the possibility that those super large cosmic “great walls” with distances ~ 9E+9 light-years from Earth are the (~ 9E+9 years old) self-images of our own Milky Way galaxy and be viewed at different angles. If this is correct, then our universe may should be a positive curved 3D space, with the circumference of ~ 9E+9 light-years. This means, just like we are practically living in the 2D spherical space on the surface of a 3D ball something (i.e., a planet), we may practically live in the 3D spherical space on the surface of a 4D ball something. 4) We pointed out that the wave mechanics is equally powerful as that of particle mechanics in solving a QM problem, and a particle mechanics based holographic-description and SMED is waiting to be developed. 5) Because the Bohr formula rn = r1 * n^2 correlates to the (free-fall) accelerated distance formula d = (1/2) *g *t^2 and Newton formula F = m * a, we believed that Bohr formula is the Number-One important formula in physics. We believed that all these results make {N,n} QM theory becomes one of the most (roughly) completed and (roughly) self-consistent theories in physics.
Chapter 4 deals with Quantum Mechanical (QM) phenomena. The first section describes the first attempts at quantization of energy, momentum, angular momentum, etc. We start with Plank's solution to the black-body problem, introducing the concept of photons: discrete packets of electromagnetic energy. We show how Plank's description of black-body radiation is perfectly fit by the cosmic microwave radiation, providing the strongest evidence for the Big-Bang at the origin of the Universe. We then describe Bohr's solution to the paradoxical stability of atoms, introducing quantization of angular momentum (or action) and correctly predicting the energy levels of the hydrogen atom. We show how Einstein used Plank's idea to explain the photo-electric effect (an effect exploited in CCD cameras and solar cells) and how he used Bohr's understanding of energy levels in atoms to provide an intuitive explanation of Plank's law. Einstein insight opened the way to the field of spectroscopy and the development of the laser. In the second section, following the lead of Dirac, we show that QM is equivalent to Linear Algebra in the space of complex functions (which describe the state of the system). We show that Schrödinger's equation is a natural consequence of that description, once the relation between energy and frequency established by Plank (for photons) and de Broglie (for particles) is taken into account. In the context of the chiral ammonia molecule we discuss the queerness of QM which describes physical systems as superposition of states (such as left and right chirality state of a molecule, dead and alive cat). We show that this queerness is nonetheless supported by experiments and is behind much of our technology: masers and lasers, atomic clocks, semiconductors (diodes, transistors, etc.). In the following section we introduce the representation of operators in QM (the equivalent of matrices in linear algebra): momentum, position, energy, etc. which correspond to measurements on the system. We show that the non-commutability of some operators (common with matrix operations) leads to Heisenberg uncertainty principle: the position and momentum of a particle cannot be determined with absolute precision. We discuss the solution of Schrödinger's equation for free particles demonstrating their equivalence with EM phenomena: particles undergo refraction and diffraction, exemplifying the particle/wave duality inherent to QM systems. We discuss QM tunneling and its use in the Scanning Tunneling Microscope. In the following section we study Dirac's equation: the successful attempt by Dirac to unify QM with Einstein's relativity, with the resulting prediction of anti-particles and spin. We then solve for the energy levels of electrons in the hydrogen atom (from Schrödinger's equation) and show that the existence of spin profoundly affects the behavior of electrons in an atom: they cannot share the same energy level, a rule known as Pauli's exclusion principle. Pauli's principle is central to the understanding of the chemical properties of atoms and fully explains Mendeleev's periodic table of the elements. In the next section we discuss along with two exactly soluble systems (diatomic rotational and vibrational levels), various approximations used to study systems (e.g. molecules) for which there are no analytical solutions. In particular, we introduce Pauling's variational approach, Hückel molecular orbital theory and time independent perturbation theory. We apply those approaches to determine the energy levels in alkenes, in multi-electron atoms and in systems under constant electric or magnetic field (such as in Magnetic Resonance Imaging). In the last section we discuss time dependent perturbation theory. We use it to establish the rules allowing for transitions between energy levels and revisit Einstein description of absorption/emission phenomena.
Problem- There are deep unanswered questions about photon emission, specifically how the field structures of the photon emerge from the electron. While this problem cannot be answered from within quantum mechanics, due to its premise that particles are zero dimensional points, other theories of physics have better prospects. Purpose- A conceptual theory is developed for the processes of photon emission and absorption, in a non-local hidden-variable (NLHV) design called the Cordus theory. Approach- Logical inference is used to predict the structures of the discrete fields of the photon and electron under this framework. From this is extracted an explanation of how electron bonding constraints require the electron to emit its excess energy, and how the photon is created and emerges from the electron. Findings- Emission is found to be an escapement mechanism whereby matter particles that are over-prescribed in position can get rid of that energy, and the details of this are explained. The results show excellent qualitative agreement with classical electromagnetic wave theory and quantum mechanics, many conceptual features of which can be recovered. Originality- A novel conceptual theory is developed for the processes of photon emission and absorption. Particularly important here is the proposed causality whereby bonding constraints affect geometric span of the particule, which affects frequency. Hence this constrains the energy that the electron can contain, and explains why the emitted photon has a specific quantum of energy. A second contribution is the proposed differentiation between the discrete fields of the photon and electron. This yields an explanation for the exponential nature of the evanescent field, and recovery of the inverse radius squared relationship for the electro-magneto-gravitational fields. The theory also offers a physical interpretation of the fine structure constant α as a measure of the transmission efficacy of the fabric, i.e. α determines the relationship between the electric constant of the vacuum fabric, and the speed of propagation c through the fabric. There is further novelty in achieving this from the non-local hidden-variable sector of physics. Implications- Quantum mechanics originated with the observation that the movement of electrons between orbitals resulted in emission of photons with discrete quanta of energy. However it does not explain how the transitions occur. The original contribution here is showing that a solution does exist in NLHV physics. Assuming this is valid then the implications are that particles have internal structure and that quantum mechanics is merely a quantitative statistical summary of a deeper physics.
Abstract The energies, kets and wave functions obtained from the Schrödinger equation for the hydrogen atom are examined in Chapter 9. Three quantum numbers are identified. The energies turn out to be the same as in the Bohr model, and an energy-level diagram appropriate to the quantum description is constructed. Graphs of the probability distributions are interpreted as the electron being in a “cloud” around the proton, rather than at a fixed position: the atom is fuzzy, not sharp-edged. The wavelengths of the five photons of the Balmer series are shown to be in the visible range. These photons are emitted when electrons transition from higher-excited states to the second lowest one, which means that electronic-type transitions underlie the presence of colors in our visible environment. The non-collapse of the atom, required by classical physics, is shown to arise from the structure of Schrödinger’s equation.
How can we construct a picture of the photon from the wealth of observation material available to us? The photon appears to have a split personality: it is neither a wave nor a particle but something else which, depending on the experimental situation, exhibits a wave- or a particle-like behavior. In other words, in the photon (as in material particles such as the electron) the particle–wave dualism becomes manifest. Whereas classically the wave and the particle pictures are separate, quantum mechanics accomplishes a formal synthesis through a unified mathematical treatment. Let us look first at the wave aspect familiar from classical electrodynamics, which seems to be the most natural description. It makes all the different interference phenomena understandable, such as the “interference of the photon with itself” on the one hand and the appearance of spatial and temporal intensity correlations in a thermal radiation field on the other (which are obviously brought about by superposition of elementary waves emitted independently from different atoms). It might come as a surprise (at least for those having quantum mechanical preconceptions) that the classical theory is valid down to arbitrarily small intensities: the visibility of the interference pattern does not deteriorate even for very small intensities – the zero point fluctuations of the electromagnetic field advocated by quantum mechanics do not have a disturbing effect – and is valid not only for conventional interference experiments but also for interference between independently generated light beams (in the form of laser light).
In SunQM-4, to build a full-QM deduced Solar system’s 3D probability density map with time-dependent orbital movement, we developed a non-Born probability (NBP) method. In the current paper, we showed that NBP is directly proportional to the wave function (rather than Born probability’s conjugated-squared wave function). For a cos(x) wave function, its NBP is simply to lift-up wave function by one to make its min =0, and then divided by two to make its max =1, so its NBP = [1 + cos(x)]/2. The trigonometric formula [1 + cos(x)]/2 = [cos(x/2)}^2 revealed that for a planet doing orbital movement in Solar system, its NBP ground state is n=1, and its Born probability ground state is n = 1/2. We showed that NBP is valid not only for {N,n} QM’s nLL QM state, but also for the 1D infinity deep square potential well QM, for the circular 1D QM, and for the plane wave QM. NBP demonstrates more direct and intuitive physical meaning than that of Born probability. In contrast to that Born probability is only for the standing wave function, NBP is for a uni-directional traveling wave function (which naturally includes the linearly combined two opposite-directional traveling waves, or a standing wave). Therefore, Born probability is possible merely a special case of (the more generalized) NBP. With NBP, we may explain the flute sound wave (an air mass density vibration) mechanics directly as the 1D quantum mechanics! This may significantly change our view on QM and its application on our daily-life-world’s (Newtonian) physics. The planet formation through accretion is also discussed by using NBP.