Interpreting the AB effect and Maxwell Lodge effect using mutual energy flow *
Résumé
We know that the Maxwell Lodge effect is often considered a classical counterpart of the AB effect in quantum mechanics. In the AB effect, both the electric and magnetic fields are zero, but the vector potential is not zero. In this case, the electrons are still subjected to electromagnetic action, causing the interference fringes to shift. Similarly, in the Maxwell Lodge effect, the external magnetic field of the primary coil is zero. But the magnetic vector potential is not zero. Assuming that there is AC current flowing through the primary coil. Assuming that the radius of the secondary coil is larger than that of the primary coil, we know that the induced electromotive force can be obtained on the secondary coil. If the secondary coil is connected to the load, power can be obtained. This power is provided by the primary coil. But outside the primary coil, the magnetic field is zero, which means that the Poynting vector is zero. According to classical electromagnetic theory, no energy can be transferred from the primary coil to the secondary coil. The author previously proposed the mutual energy flow theorem, stating that the energy flow from the primary to secondary transformer, from the transmitting antenna to the receiving antenna, and from the radiator to the absorber are all mutual energy flows, rather than the self energy flow corresponding to the Poynting vector. The mutual energy flow is composed of retarded waves and advanced waves together. Mutual energy flow has the properties of photons. In this article, the author further proves that the energy flow from the primary coil to the secondary coil can only be explained by the mutual energy flow by utilizing the fact that the magnetic field is zero. The author does not negate the Poynting vector, which corresponds to a stand-alone system, such as a simple circuit composed of a power source and a resistor. The energy flow can still be expressed by the Poynting vector. However, for discrete systems, such as a transmitting antenna and a receiving antenna, the energy flow between them is the mutual energy flow rather than the self energy flow corresponding to the Poynting vector. The AB effect and Maxwell Lodge effect can only be explained by mutual energy flow, and cannot be explained by the self energy interpretation corresponding to the Poynting vector to prove that the theory of mutual energy flow is correct. In addition, the author believes that the correct understanding of the AB effect and Maxwell Lodge effect in this article is very effective. Usage: Secondary publications and information retrieval purposes.
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