Empirical electromagnetism

XII. Beltrami FFMF Topology as a Model for Empirical Electromagnetic Phenomena... 

XII. BELTRAMI FFMF TOPOLOGY AS A MODEL FOR EMPIRICAL ELECTROMAGNETIC PHENOMENA... 

The empirical law of absorbance is all well and good but what are the atomic and molecular properties that control how much electromagnetic radiation is absorbed by a specific transition ... 

The demand for advanced materials with superior mechanical, thermal, electrical, optical, magnetic, electro-optical, and electromagnetic properties is ever increasing. Most advanced materials, until recently, have been formed empirically by solid state methods. Further progress in the generation of advanced materials with preselected properties demands innovative chemical tailoring and, thus, a fundamental understanding of interactions and reactions at atomic, molecular, and supramolecular levels. 

The experimental or empirical demonstration of RFR is a logical consequence of the detection of a term proportional to by van der Ziel et al. [37], and some experimental details are suggested here. It would be necessary to work initially on the interaction of a fermion beam with an electromagnetic beam. All levels of one fermion theory given in this section could then be tested under conditions that most closely approximate the theory. A successful demonstration of RFR would require careful engineering in the matter of beam interaction. The IFE has been demonstrated at 3.0 GHz by Deschamps et al. [75], and this experiment provides clues as to how to go about detecting RFR. It seems that the simplest demonstration is autoresonance, where the circularly polarized pump frequency (to) is adjusted to be the same as the RFR frequency (a)res) ... 

In the late nineteenth century, a whole set of experiments progressively lead to the conclusion that classical physics, namely, Newtonian mechanics, thermodynamics, and nascent electromagnetism, were unable to explain empirical evidence gathered by experimentalists. Scientists of that time were unable to conciliate two apparent contradictory aspects exhibited by radiation and matter. Some experiments demonstrated that light behaved like a wave, while others showed a rather corpuscular nature. On the other hand, electrons, protons, and the other massive particles would manifest wave-like properties in certain experimental conditions. 

Textbooks frequently cite this work as strong empirical evidence for the existence of photons as quanta of electromagnetic energy localized in space and time. However, it has been shown that [8] a complete account of the photoelectric effect can be obtained by treating the electromagnetic field as a classical Maxwellian field and the detector is treated according to the laws of quantum mechanics. 

The preceding construction indicates that the electromagnetic and weak interactions may be dual-field theories. If the preceding construction is experimentally verified, then this would be the first empirical indication that the universe is... 

Consequently, much like the Beltrami vortex filaments discussed earlier in conjunction with the magnetostatic FFMF, the Beltrami vector relations associated with nonluminal solutions to the free space Maxwell equations, are directly related to physical classical field phenomena currently unexplainable by accepted scientific paradigms. For instance, such non-PWS of the free-space Maxwell equations are direct violations of the sacrosanct principle of special relativity [72], as well as exhibit other counterintuitive properties. Yet, even more extraordinary, these non-PWS are not only theoretical possibilities, but have been demonstrated to exist empirically in the form of the so-called evanescent mode propagation of electromagnetic energy [72-76]. 

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