**Authors:** shuang-ren Zhao

Absorber theory published in 1945 and 1949 by Wheeler and Feynman which tells us that if the sun is put in a empty space where apart from the sun is nothing, the sun cannot shine. That means only with the source, the radiation cannot be produced. The radiation is phenomena of an action-at-a-distance. The action at a distance needs at least two object: the source and the sink or the emitter and the absorber. Only with one charge even it has the acceleration, it still cannot make any radiation. However this result is not reflect at the Maxwell's theory. According to the theory of Maxwell, a single charge can produce the radiation without any help of the absorber. Hence, Maxwell theory is different with the absorber theory of Wheeler and Feynman, this author thought that Wheeler and Feynman is correct. According the absorber theory the source (emitter) sends the retarded wave. The sink (absorber) sends the advanced wave. In the electromagnetic field theory, W. J. Welch introduced the reciprocity theorem in 1960. V.H. Rumsey mentioned a method to transform the Lorentz reciprocity theorem to a new formula in 1963. In early of 1987 Shuang-ren Zhao (this author) introduced the mutual energy theorem in frequency domain. In the end of 1987 Adrianus T. de Hoop introduced the time-domain cross-correlation reciprocity theorem. All these theories can be seen as a same theorem in different domain: Fourier domain or in time domain. The reciprocity theorem of Welch, Rumsey and Hoop has been applied to find out the directivity diagram of receiving antenna from the corresponding transmitting antenna. The mutual energy theorem of Zhao, has been applied to define an inner product space of electromagnetic radiation fields, and hence, to applied to the sphere wave expansion and the plane wave expansion. All these theorems the transmitting antenna sends the retarded waves and the receiving antenna sends the advanced waves. The reciprocity theorems of Welch, Rumsey and Hoop talk about reciprocity theorem in which the two fields one can be real one can be virtual. The mutual energy theorem tell us the two fields the retarded wave sent out from the transmitting antenna and the advanced wave sent out from the receiving antenna are real and are physical waves with energy. After 30 years silence on this topic, finally, this author has introduced the mutual energy principle and self-energy principle which updated the Maxwell's electromagnetic field theory and Schrödinger's quantum mechanics. According to the theory of mutual energy principle, the energy of all particles are transferred through the mutual energy flows. The mutual energy flow are inner product of the retarded wave and the advanced wave. The retarded wave is the action the emitter gives to the absorber. The advanced wave is the reaction the absorber gives to the emitter. When the absorber received the retarded wave, it received a force from the emitter, that is the action from emitter to the absorber. When the emitter receive the advanced wave, it obtained the reaction from the absorber. This reaction is express as the recoil force of the particle to the emitter. Hence, action is retarded and the reaction is advanced. In this article the action is retarded and the reaction is advanced will be widen to the macroscopic object for example a stone or a piece of wood. Hence, even the waves in water, in air or wood all involve the advanced reaction. The author reviewed the Newton's third law, found that only when the reaction is advanced, the Newton's third law can be applied on arbitrary surface of the object. Hence the reaction is advanced must be correct.

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[v1] 2019-08-04 08:13:58

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