Quantum physics has the probability interpretation. From the knowledge of light, we know that wave is always spread out, and hence the electron wave should also spread out. That means the electron wave beam should like the light wave beam become diverged from the source. When the electron is received by an atom we thought the wave collapse. The place to collapse is depends on the probability calculated from the square of absolute value of the wave function. The recent new discovery tell us that the light is not just wave, it is a combination of waves, retarded potential and advanced potential. These two potentials together produce the mutual energy current or referred as M-current. Another light energy current is P-current related to Poynting vector. We found P-current doesn't carry any energy for light. The contribution of P-current to energy transfer can be omitted. The light energy is transferred only by M-current. The beam of M-current doesn't like the beam of P-current which is diverged from the source, instead, the M-current beam first diverges from a source and then converged to a sink. Since the M-current at the place to be received is localized at one electron, the concept of wave function collapse is needless. The probability results of light is because that we have use P-current to roughly calculate the M-current. We thought if Schr\odinger knew today's light theory, he would for sure also build his wave theory for quantum mechanics similar to the new light theory with M-current. Hence we claim that the M-current theory is not only suitable to the light but also can be applied to the quantum physics. This means all particles are M-current. The M-current is composed of not only the retarded wave, but also the advanced wave. M-current is an inner product of a retarded and an advanced waves.
Quantum physics has the probability interpretation. From the knowledge of light, we know that wave is always spread out, and hence the electron wave should also spread out. That means the electron wave beam should like the light wave beam become diverged from the source. When the electron is received by an atom we thought the wave collapse. The place to collapse is depends on the probability calculated from the square of absolute value of the wave function. The recent new discovery tell us that the light is not just wave, it is a combination of waves, retarded potential and advanced potential. These two potentials together produce the mutual energy current or referred as M-current. Another light energy current is P-current related to Poynting vector. We found P-current doesn't carry any energy for light. The contribution of P-current to energy transfer can be omitted. The light energy is transferred only by M-current. The beam of M-current doesn't like the beam of P-current which is diverged from the source, instead, the M-current beam first diverges from a source and then converged to a sink. Since the M-current at the place to be received is localized at one electron, the concept of wave function collapse is needless. The probability results of light is because that we have use P-current to roughly calculate the M-current. We thought if Schr\odinger knew today's light theory, he would for sure also build his wave theory for quantum mechanics similar to the new light theory with M-current. Hence we claim that the M-current theory is not only suitable to the light but also can be applied to the quantum physics. This means all particles are M-current. The M-current is composed of not only the retarded wave, but also the advanced wave. M-current is an inner product of a retarded and an advanced waves.
Quantum physics has the probability interpretation. From the knowledge of light, we know that wave is always spread out, and hence the electron wave should also spread out. That means the electron wave beam should like the light wave beam become diverged from the source. When the electron is received by an atom we thought the wave collapse. The place to collapse is depends on the probability calculated from the square of absolute value of the wave function. The recent new discovery tell us that the light is not just wave, it is a combination of waves, retarded potential and advanced potential. These two potentials together produce the mutual energy current or referred as M-current. Another light energy current is P-current related to Poynting vector. We found P-current doesn't carry any energy for light. The contribution of P-current to energy transfer can be omitted. The light energy is transferred only by M-current. The beam of M-current doesn't like the beam of P-current which is diverged from the source, instead, the M-current beam first diverges from a source and then converged to a sink. Since the M-current at the place to be received is localized at one electron, the concept of wave function collapse is needless. The probability results of light is because that we have use P-current to roughly calculate the M-current. We thought if Schrödinger knew today's light theory, he would for sure also build his wave theory for quantum mechanics similar to the new light theory with M-current. Hence we claim that the M-current theory is not only suitable to the light but also can be applied to the quantum physics. This means all particles are M-current. The M-current is composed of not only the retarded wave, but also the advanced wave. M-current is an inner product of a retarded and an advanced waves.
According to classical electromagnetic theory, quantum mechanics, and quantum field theory, particles are often associated with self-energy flow. In electromagnetic theory, the so-called self-energy flow corresponds to the Poynting vector of energy flow, and in quantum mechanics, it represents the probability current density. The author believes this is likely incorrect. The author finds that self-energy flow can be replaced by mutual energy flow. Mutual energy flow consists of retarded waves emitted by the source and advanced waves emitted by the sink. The source includes the primary coil of a transformer, the transmitting antenna, radiation atoms, and the cathode emitting electrons. The sink includes the secondary coil of the transformer, the receiving antenna, absorbing atoms, and the anode receiving electrons. Originally, all energy flows are generated by the source. If we assume energy flow is generated jointly by the source and the sink, we first need to compress the field produced by the source to half its original size. In this way, the source produces half of the field, and the sink produces the other half. The mutual energy flow generated by the source and sink together will exactly match the original self-energy flow produced by the source. However, there is still a problem. If the energy flow is mutual energy flow rather than self-energy flow, then self-energy flow should not transfer energy. However, if we do not alter the original electromagnetic theory or quantum theory, self-energy flow still transmits energy. This creates an absurd situation where mutual energy flow particles and self-energy flow particles are two distinct particles, both transferring energy. The author finds that both self-energy flows in electromagnetic theory and quantum theory should be reactive power and therefore do not transfer energy. The author adds a magnetic field, source, and sink to the Schrödinger equation and extends the mutual energy flow law from electromagnetic theory to quantum theory. The author then corrects the phase of the magnetic field in Maxwell’s electromagnetic theory and quantum theory by 90 degrees. After the correction, both self-energy flows in the two theories become reactive power. Thus, particles, including photons, electrons, and all other particles, are mutual energy flows, not self-energy flows. For electromagnetic theory, the author also proves that the composite energy flow of many photon mutual energy flows coincides with the self-energy flow corresponding to the Poynting vector calculated from Maxwell’s electromagnetic theory. Thus, electromagnetic waves have three different modes: (1) broadcasting mode, where the source and sink simultaneously emit spherical waves at random, which decay with propagation distance. (2) Photon mode, where the retarded wave emitted by the source and the advanced wave emitted by the sink are perfectly synchronized. At this point, the advanced wave forms the waveguide of the retarded wave, and the retarded wave forms the waveguide of the advanced wave. Due to the interference between the retarded and advanced waves, the two waves interfere constructively along the line connecting the source and the sink and weaken in other directions, ultimately turning into quasi-planar waves along the connection line between the source and sink. These retarded and advanced waves constitute the mutual energy flow, which is the photon. (3) The average energy flow consisting of countless photons is consistent with the energy flow calculated according to the Poynting vector. Therefore, Maxwell’s electromagnetic theory is still valid for calculating average radiation electromagnetic energy flow. However, calculating photons requires the author’s electromagnetic theory. The situation for electrons or other particles is roughly similar.
Abstract In this article the authors will build the model of photon in time-domain. Since photon is a very short time wave, the authors need to build it in the time domain. In this photon model, there is an emitter and an absorber. The emitter sends the retarded wave. The absorber sends advanced wave. Between the emitter and the absorber the mutual energy current is built through the combination of the retarded wave and the advanced wave. The mutual energy current can transfer the photon energy from the emitter to the absorber and hence the photon is nothing else but the mutual energy current. This energy transfer is built in 3D space, this allow the wave to go through any 3D structure for example the double slits. The authors have proved that in the empty space, the wave can be seen approximately as 1D wave and can transfer energy from one pointer to to another point without any wave function collapses. That is why the light can be seen as light line. That is why a photon can go through double slits to have the interference. The duality of photon can be explained using this photon model. The total energy transfer can be divided as self-energy transfer and the mutual energy transfer. It is possible the self-energy current transfer half the total energy and it also possible that the part of self-energy part has no contribution to the energy transferring of the photon. In the latter, the self-energy items is canceled by the advanced wave of the emitter current and the retarded wave of the absorber current or canceled by the returned waves. This return wave is still satisfy Maxwell equations or at least some time-reversed Maxwell equations. Furthermore, the authors found the photon should satisfy the Maxwell equations in microcosm. Energy can be transferred only by the mutual energy current. In this solution, the two items in the mutual energy current can just interpret the line or circle polarization or spin of the photon. The traditional concept of wave function collapse in quantum mechanics is not needed in the authors’ photon model. The authors believe the concept of the traditional wave collapse is coursed by the misunderstanding about the energy current. Traditionally, there is only the energy current based on Poynting vector which is always diverges from the source. For a diverged wave, hence, there is the requirement for the energy to collapse to its absorber. After knowing that the electromagnetic energy is actually transferred by the mutual energy current, which is a wave diverging in the beginning and converging in the end, then the wave function collapse is not needed. The concept energy is transferred by the mutual energy current can be extended from photon to any other particles for example electron. Electrons should have the similar mutual energy current to carry their energy from one place to another and do not need the wave function to collapse.
Quantum mechanics has the quantization. The quantization offer us a method from the mechanic equation to build the quantum wave equation. For example the Canonical quantization offers a method to build the Schrodinger equation from Hamilton in classical mechanics. This is also referred as first quantization. In general, Maxwell equation itself is wave equation, hence, it doesn't need the first quantization. There is second quantization, for electromagnetic field. The second quantization discuss how many photons can be created when the energy of electromagnetic field is known. This is not interesting to this author. This author is interested how to build a particle from the wave equations (Maxwell equations or Schrodinger equation). Here the particle should confined in space locally. It should has the properties of wave. Our traditional quantization is to find the wave equation. This author try to build a particle from this wave equation, this process can be called as particleization. This author has introduced the mutual energy principle, the mutual energy principle successfully solved the problem of conflict between the Maxwell equations and the law of the energy conservation. The mutual energy flow theorem is derived from the mutual energy principle. The mutual energy flow is consist of the retarded wave and the advanced wave. The mutual energy flow theorem tell us the total energy of the energy flow passes through any surfaces between the emitter to the absorber are all exactly same. This property is required by the photon and any particle in quantum mechanics. Hence, this author has linked the mutual energy flow to the photon and also other particle. The mutual energy flow has the property of waves and also confined in space locally. However there is still a problem, the field of an emitter or the field of an absorber decreases according to the distance from the field point to the source point. If the current (or charge) of a source or sink for a photon is constant. The energy of the photon which equals the inner product of the current and the field will depended on the distance between the the source and the sink of the photon. If the distance increases, the amount of photon energy will decrease to infinite small. This is not correct. The energy of a photon should be a constant E=hv. The energy of the photon cannot decrease with the distance between the emitter and the absorber. In order overcome this difficulty, this author suggests a normalization for the mutual energy flow. It is assume that the retarded wave sent from the emitter has collapse back in all direction. But the mutual energy flow build a energy channel between the source and sink. Since the energy can only go through this channel, the total energy of one photon must go through this channel. Hence, the total energy of the mutual energy flow has to be normalized to the energy of one photon. The mutual energy flow will increase to the energy of one photon. This leads that the amplitude of the wave does not decrease on the direction along the energy channel. The amplitude of the advanced wave also does not decrease on the direction of the energy channel. The electromagnetic wave in the space between an emitter (source) and an absorber (sink) looks like a wave inside a wave guide. The wave in a wave guide, the amplitude does not decrease alone the wave guide if the loss of energy can be omitted. This wave guide can be referred as the “nature wave guide”. In the nature wave guide the advanced wave leads the the retarded wave, hence, the retarded wave can only goes at the direction where has advanced wave. The retarded wave also leads the advanced wave. The advanced wave can only goes in the direction of the retarded wave. This normalization process successfully particularized the the mutual energy flow. This author believe this theory about the normalization/particleization of the mutual energy flow is also correct for other particle for example electron.
Combined with the principle of mutual energy of electromagnetic field, mutual energy theorem, mutual energy flow theorem and Wheeler - Feynman absorption theory, we propose a mutual energy flow interpretation for quantum mechanics. The Wheeler-Feynman absorber theory suggests that the light wave is composed of both the advanced and the retarded waves. John Cramer gave a simple model of photon with plane waves. The author put forward the mutual energy theorem and the principle of mutual energy. The principle of mutual energy is a formula which removes the remainder of the self-energy terms from the Poynting theorem. The principle of mutual energy as the electromagnetic field axiom can ensure that the classic electromagnetic theory building does not fall to overcome the many difficulties if the Maxwell equations have been applied as axioms. From the principle of mutual energy, radio waves, light waves are all consists of the retarded wave of the emitters and the advanced wave of the absorber. The retarded wave and the advanced wave are not simply superimposed, but combined very close together into one. The retarded wave and the advanced wave constitute the mutual energy flow. The energy flows from the emitter to the absorber in the form of energy flow. The integral of the flux of the energy flow to time is constant on any surface between the emitter and the absorber, which is the energy of the photon. Photon is nothing else, it is just the mutual energy flow. In this paper, we should further clarify that the mutual energy flow theorem tells us that the waves in the space are much like the waves in the waveguide as a quasi-plane wave. Although this quasi-plane wave is composed of the retarded wave of the emitter and the advanced wave of the absorber, we can also think of it as a purely retarded wave. The vacuum space naturally constitutes the waveguide of the mutual energy flow. Since the field between the charge and the other charge can be regarded as a plane wave, it naturally avoids the problem of self-energy divergence. Recently, Afshar experiments supported the John Cramer transactional interpretation. We found that, this experiment can also be explained by using the principle of mutual energy flow. Hence, Afshar experiment also supports the author's mutual energy flow interpretation. To make our theory self-consistent, we also introduced the principle of the return of the self-energy flow.
According to Copenhagen's interpretation, particles are generated by the collapse of waves caused by measurement. But there is still no mathematical description of the process of wave collapse. The interpretation of quantum mechanics trading introduces advanced waves in quantum mechanics. The author successfully introduced advanced waves in classical electromagnetic theory. Lagging waves and leading waves form a mutual energy flow, which has the properties of photons, so it can be seen that the achievement is photons. The author initially believed that the self energy flow of lagging waves and leading waves collapsed in the opposite direction. Recently, the author found that the reason for the need for reverse collapse is due to the incorrect definition of magnetic field in classical electromagnetic theory. When the magnetic field definition is corrected, the electromagnetic wave is reactive power and therefore does not need to collapse. The author found that most quantum mechanics theories draw on the patterns of classical electromagnetic theory. The probability flow of the Schr ö dinger equation theory is very similar to the Poynting energy flow in classical electromagnetic theory. The author found that since the magnetic field in electromagnetic theory needs to be corrected, the quantity corresponding to the magnetic field in the Schr ö dinger equation should also be corrected. After correction, the self energy flow obtained according to the Schr ö dinger equation, i.e. the probability flow, is reactive power. The mutual energy flow obtained according to the Schr ö dinger equation is the active power. This mutual energy flow can express particles in quantum mechanics, such as electrons, in vacuum. Therefore, the collapse of waves is entirely caused by a problem with the definition of probability flow in quantum mechanics. After revising this definition, the collapse of waves is completely avoided. After the particles are represented by mutual energy flow, the problem of wave particle duality is successfully solved.