Over the last couple of week I have been witnessing an interesting email discussion about Maxwell’s equations between 2-3 people trying to come to terms with the difficulty of accommodating the notion of displacement current in free space and ‘sorting out’ the Ampere’s law. The latter combines, for whatever reason, both the elements of propagating field (not requiring charged particles as this field can propagate without involving massed matter) and current density (implying the existence of massed particles). <\/p>\n\n\n\n
I have drawn my own conclusions out of this discussion, which ended up with conclusions that the above mentioned difficulty cannot be easily resolved with the bounds the temple of the classical electromagnetics with its holy book of Maxwell’s laws. <\/p>\n\n\n\n
Here are my comments on this:<\/p>\n\n\n\n
To Ivor Catt:<\/strong><\/p>\n\n\n\n Following your theory where the Heaviside signal travels (and can only do so) with the speed of light in the medium, such a speed is entirely determined by epsilon and mu. Thus, where we have an interface between very low epsilon dielectric and very high epsilon metal, from the point of view of energy current, we have the effect similar to friction (against the metal surface – like a rotating wheel goes forward on the ground thanks to experiencing friction against the ground). And thanks to this \u201cfriction\u201d it prefers to trolley along the metal wire, or between the metal plates of the capacitor<\/em>.<\/p>\n\n\n\n To David Tombe:<\/strong><\/p>\n\n\n\n Catt\u2019s theory works at a different level of abstraction. This is the level of fundamental energy current. This level underpins \u201ccharged particles\u201d. The latter are the result of the ExH energy current trapped in corresponding sections of space. What\u2019s important is that that trapped energy never stops inside those particles as it can only exist in the form of ExH slabs moving with speed of light in the epsilon-mu medium. So then, when you apply energy current travelling outside those particles, there is an interesting interaction with the energy current inside those particles.<\/em> <\/p>\n\n\n\n The entire world is filled with energy current fractally sectioned into fragments determined by space sections. <\/em><\/p>\n\n\n\n All I can say is that in my opinion you misunderstand the domain of action of Catt\u2019s theory. It does not consider static electric field. That\u2019s it. There\u2019s no such a thing as static EM energy. It can only move at speed c=dx\/dt, in all directions. <\/em><\/p>\n\n\n\n And this energy fills up space according to its epsilon\/mu properties.<\/em><\/p>\n\n\n\n There\u2019s no need for Maxwells equations to be involved in Catt\u2019s theory. All these equations are partial, like Greek gods.<\/em><\/p>\n\n\n\n To Ivor Catt:<\/strong><\/p>\n\n\n\n I, perhaps surreptitiously, was awaiting for your email, either in public or in private. <\/em><\/p>\n\n\n\n Coincidentally, about an hour ago, I typed a message intended to be sent to the whole list from that discussion (adding Malcolm, who I think is on the same wavelength with us), saying: <\/em><\/p>\n\n\n\n \u201cIvor, please, say something, because these people are facing an impossible task of \u2018squaring the circle\u2019 of a set of Maxwell\u2019s laws into something coherent \u2013 but the reason why it is impossible is that no one actually knows exactly what Maxwell meant by that list of laws dressed into fairly sophisticated mathematics. So, Ivor, the same fate may be with you, unless you say something, in some 20 years from now {well, it looks like I miscalculated by 5 years from your estimate of 2045!} no one will know exactly what Catt meant by his energy current\u201d.<\/em><\/p>\n\n\n\n Then some invisible force pushed me to discard that email! And now, I had an evening walk to my office to freshen up my mind, and here I see your email.<\/em><\/p>\n\n\n\n Sadly, people, don\u2019t listen and can\u2019t liberate themselves from the heavy chains of those (partial) laws \u2013 which are like, indeed, those separate gods of Greeks or Romans being responsible for one aspect of life or another or one phenomenon in nature or another. They can\u2019t understand that the Occam\u2019s Razor of nature wouldn\u2019t tolerate having so many (purportedly, fundamental) relationships, with lots of tautology in them. All those relationships, taken individually, are contrapuntal and superposing. <\/em><\/p>\n\n\n\n People can\u2019t understand that there is no need for stationary fields, no need for separate treatment of charged particles etc. Everything comes naturally as a result of energy current trapped in sections of space, where it continues to move.<\/em><\/p>\n\n\n\n I think the next big leap where Catt\u2019s vision will show its power will happen in high-speed computing and a massively parallel scale \u2013 truly high-speed! Until then we will probably fight against the Windmills of stale minds and deaf ears \u2026<\/em><\/p>\n\n\n\n This confused discussion between David Tombe and Akinbo (not sure if Malcolm has seen that) is an illustration of the fact that behind the mathematically elegant fa\u00e7ade of Maxwell\u2019s laws there is a massive mess of physical concepts, a cacophony of man-made and contrived \u2018pagan-like\u2019 beliefs and disbeliefs (e.g., did Maxwell mean that or not?), which may work in special cases. The fact that these beliefs can work in special cases of success in growing crops or hunting\/herding animals in some regions of the world, or in a more modern terms, wiring up a Victorian mansion and sending data to Mars rovers. But how they are going to succeed in the future when needs Terabit\/s data rates or picosecond latency in accessing storage, nobody knows. I am less inclined in dividing people into true scientists, careerists or other categories. Historical materialism (which we had to study back in the USSR) gave pretty good explanation of all kinds of folk under the sun. Nobody is saint here. It\u2019s just a personal comfort matter \u2026<\/em><\/p>\n\n\n\n To Akinbo Ojo (in reply to his email attached below):<\/strong><\/p>\n\n\n\n Just combine \u22072<\/sup>E<\/strong> = \u00b5\u03b5(\u22022<\/sup>E<\/strong>\/\u2202t2<\/sup>)\nor \u22072<\/sup>H<\/strong> = \u00b5\u03b5(\u22022<\/sup>H<\/strong>\/\u2202t2<\/sup>)\n into one eqn, replacing E and H\nwith ExH, and you\u2019ll have the Heaviside signal (aka energy current) propagating\nin space with speed of light in the epsilon\/mu medium, and that\u2019s all what is\nneeded by Catt\u2019s theory, and that what fills up fragments of space, in order to\nform transmission lines of particular Z0, capacitors, inductors, elementary\nparticles, etc. <\/p>\n\n\n\n Everything in the world is filled up with this energy current, and any such an entrapment of energy current turns sections of space into elements of matter (or mass)!<\/em><\/p>\n\n\n\n From:<\/strong> Akinbo Ojo <taojo@hotmail.com<\/a>> Hi David,<\/p>\n\n\n\n I didn\u2019t say\nthere was an error. I said given the Ampere and Faraday equations when you\nfollow the curls and substitutions you will confront something that would be\nunpalatable to you and which you must swallow before you can get \u22072<\/sup>E<\/strong> = \u00b5\u03b5(\u22022<\/sup>E<\/strong>\/\u2202t2<\/sup>)\nor \u22072<\/sup>H<\/strong> = \u00b5\u03b5(\u22022<\/sup>H<\/strong>\/\u2202t2<\/sup>).<\/p>\n\n\n\n Regards,<\/p>\n\n\n\n Akinbo <\/p>\n","protected":false},"excerpt":{"rendered":" Over the last couple of week I have been witnessing an interesting email discussion about Maxwell’s equations between 2-3 people trying to come to terms with the difficulty of accommodating the notion of displacement current in free space and ‘sorting … Continue reading
Sent:<\/strong> 14 January 2020 14:20
Subject:<\/strong> Re: Displacement Current in Deep Space for Starlight<\/p>\n\n\n\n