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 Schrodinger 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.

The Relevance of Advanced Potential Solutions of Maxwell's Equations for Special and General Relativity

The mutual energy current interpretation for quantum mechanics

Advanced potential solution of Maxwell equations isn't often accepted. We have proven if without advanced potential, it is not possible to satisfy the Maxwell equations. We also shown that it is not the Poynting vector related energy current transferring energy in the space and it is the mutual energy really did that. A important result of the mutual energy theorem is that the advanced potential can suck energy from the transmitter. This energy is equal to the energy received at the receiver. Hence a transmitter can not send any energy out without the receiver. For two remote objects, the energy is transferred only can by the mutual energy of a retarded potential from the source together with an advanced potential from the sink. If the sucked energy is discrete, the summation of mutual energy current of the infinite background atoms or currents, which can be seen as receivers, is a random process. This means that the photon energy sent by the transmitter is actually grabbed by the receiver. Hence the photon from very beginning knows their destination. This receiver send advanced potential to the transmitter. This explanation also avoided the wave function collapse. The retarded potential first reached the receiver, cause the current in the receiver, the current of receiver send a advanced potential to the transmitter with a reversed time, in the same time, a photon minus-time-instantly runs from receiver to transmitter. In our normal feeling, the photon is still runs from the transmitter to the receiver with a positive time. How to transfer superluminal signal using advanced potential is also discussed.Maxwell equations as principle of the theory of the electromagnetic fields is replaced by the mutual energy principle.

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The principle of the mutual energy

The path integral in quantum mechanics is a very important mathematical tools. It is widely applied in quantum electrodynamics and quantum field theory. But its basic concepts confuse all of us. The first thing is the propagation of the probability. The second is the path can be any paths you can draw. How this can work? In this article, a new definition of energy pipe streamline integral is introduced in which the mutual energy theorem and the mutual energy flow theorem, mutual energy principle, self-energy principle, Huygens principle, and surface integral inner product of the electromagnetic fields are applied to offer a meaningful and upgraded path integral. The mutual energy flow is the energy flow from the emitter to the absorber. This energy flow is built by the retarded wave radiates from the emitter and the advanced wave radiates from the absorber. The mutual energy flow theorem guarantees that the energy of the photon go through any surface between the emitter and the absorber are all equal. This allow us to build many slender flow pipes to describe the energy flow. The path integral can be defined on these pipes. This is a updated path integral and it is referred as the energy pip streamline integral. The Huygens principle allow us to insert virtual current sources on any place of the pipes. Self-energy principle tell us that any particles are consist of 4 waves: the retarded wave, the advanced wave and another two time-reversal waves. All these waves are canceled and, hence, the waves do not carry or transfer any energy. Energy is only carried and transferred by the mutual energy flow. Hence, the mutual energy flow theorem is actually the energy flow theorem. Wave looks like probability wave, but mutual energy flow are real energy flow, it is not a probability flow. In this article the streamline integral is applied to photon which satisfy Maxwell equation. However, this concept can be easily widened to other particle for example electrons which satisfies the Schrodinger or Dirac equation.

Update the Path Integral in Quantum Mechanics by Using the Energy Pipe Streamline

It is found that the Poynting theorem is conflict with the energy conservation principle. It is a bug of the Poynting theorem. The Poynting theorem is derived from Maxwell equations by using the superimposition principle of the fields. Hence, this bug also existed at either in superimposition principle or in the Maxwell equations. The Poynting theorem is corrected in this article. After the correction the energy is not quadratic and hence the field is also not linear. The concept of the superposition of fields need also to be corrected. Hence the new definitions for the inner product and cross product are proposed. The corrected Poynting theorem become the mutual energy formula, it is strongly related to the mutual energy theorems. It is shown that starting from the mutual energy formula, the whole electromagnetic theory can be reconstructed. The Poynting theorem can be proved from the mutual energy formula by adding pseudo items. The Maxwell equations can be derived from Poynting theorem as sufficient conditions. Hence if the mutual energy formula is corrected, the Maxwell equations still can be applied with knowing its problem. Most the problems originally caused by Maxwell equations are solved. Examples of this problems are: (1) electric field infinity which need to be re-normalized in quantum physics; (2) collapse of the electromagnetic field, the waves has to be collapsed to its absorber, otherwise the energy is not conserved; (3) the emitter can send energy without absorber, this is conflict to the direct interaction principle and absorber theory; (4) if our universe is not completely opaque, the charges will continually send energy to the outside of our universe, our universe will have a continual loss of energy. However there is no testimony supporting that our universe is opaque. The new theory supports the existence of advanced wave, hence also strongly support the absorber theory and transactional interpretation of quantum physics. It can offer an equation for photon and a good explanation for the duality of the photon. If photon and electromagnetic field obeys the mutual energy formula, it is very possible that all other quanta also obey their similar mutual energy formula. Hence the mutual energy formula can be applied as a principle or axiom for the electromagnetic theory and quantum physics. According to this theory the asychronous retarded wave and the asychronous advanced wave of electromagnetic fields both are an ability or probability waves, which is also partly agree with Copenhagen interpretation.

Photon Models Are Derived by Solving a Bug in Poynting and Maxwell Theory

The photon energy transfer is from point to point. But the wave according to the Maxwell equation spreads from the source point to the entire empty space. In order to explain this phenomenon the concept of wave function collapse is created. This concept is very rough, if there are many partition boards with small holes between the emitter charge and the absorber charge. The light is clear can go through all these small holes from emitter to the absorber. But according to the concept of the wave function collapse the wave must collapse N times if there are N holes on the partition boards. Collapse one is strange enough, if the wave collapse N times, that is unbelievable! In another article we have proved that the photon energy is actually transferred by the “mutual energy flow” which is point to point instead of spread to the entire space. Since energy can be transferred by the mutual energy flow, the concept of the wave function collapse is not necessary. In order to build the mutual energy flow it is required to build the self-energy flow also. The self-energy flow is spread to the entire empty space. What will do for the self-energy flow, it is possible the self-flow also collapse to the absorber. However if self-energy flow collapse we have also meet the same problem as the whole wave collapse that means if there are partition sheets with N holes, the self-energy flow has to collapse N times. In the article about mutual energy principle we have propose another possibility in which the self-energy flow instead collapse, we believe it is returned. It is returned with a time reversal process, hence the self-energy dose not contributed to the energy transfer of the photon. The return process can be seen as also a collapse process, however it is collapse to the source of the wave instead of the target of the wave. In this article we will discuss the self-energy flow and the time reversal process in details.

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The Relevance of Advanced Potential Solutions of Maxwell's Equations for Special and General Relativity

Citations

The mutual energy current interpretation for quantum mechanics

The principle of the mutual energy

Update the Path Integral in Quantum Mechanics by Using the Energy Pipe Streamline

Photon Models Are Derived by Solving a Bug in Poynting and Maxwell Theory

Self-Energy Principle with a Time-Reversal Field is Applied to Photon and Electromagnetic Theory

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