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Forgive me as I'm still trying to wrap my head around the concept you are proposing - what would happen if we moved the resistor many multiples of ct away from the dipole, assuming that the wires necessary to achieve the separation do not appreciably increase the time constant of the circuit? Does the energy flow change in this case or does the casual bubble always include the entire circuit?

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The dipole model assumes that the source (including the resistor) is much smaller than the bubble size. Suppose somehow you had a shielded transmission line to connect to a distant resistor. Then you'd see the same behavior, just delayed by the round-trip travel time, if we can assume the capacitance of the line is much smaller than the dipole capacitance.

Realistically, it will get very complicated very quickly as you try to work with larger, more complicated systems.

That's why the infinitesimal dipole is a useful model. It allows great simplifications in analysis. More complicated situation? They require more complicated analyses.

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That's helpful. Thanks. I'll be spending more time reading your fascinating material.

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May 1Liked by Hans G. Schantz

Exciting stuff.

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Excellent post! Yes, the two right-hand rules makes so much sense, and highlights why the phrase "the important stuff tends to happen at the boundaries". Your animation is worth half-a-dozen hour lectures on the topic.

This is why my notebooks from graduate school were filled with drawings, diagrams, and speculative pictures. To deny that images and doodles cannot help you, even in the esoteric world of QM, speaks to attempts to deny the benefits of imagination to the fields of Science.

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Apr 30·edited Apr 30Author

Thanks for the kind words.

Hard to believe, but near as I've been able to discover, no one ever presented arbitrary time domain illustrations of dipole fields, until I showed how to do it in my 2015 book. It's not difficult at all, but the texts that mention dipole field line calculation usually just do static dipole fields. Only a handful repeat Hertz's 1880s calculation of dynamic harmonic dipole fields, and no one does arbitrary transients.

No one.

Disgraceful.

No wonder people generally don't understand what's going on and how it works.

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May 1Liked by Hans G. Schantz

That is apparently the whole idea, keep us in the dark and feed us crap just like mushrooms

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We live in a wondrous time where the tools exist to help better grow that understanding.

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It’s a blessing and a curse… I’m having trouble getting my signal heard precisely because those tools allow so much noise to drown out what I have to say. But at the same time, those tools enable me to launch my guerilla campaign to reform physics. “Keep Calm, and Make Physics Great Again.”

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Sure! Run it past me though, if you don't mind, so I can make sure it makes sense.

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Absolutely! I am putting together the reararch now, so it may be about a month - but I will compile yhe scenes am

n make an easy, quick read of it for you so you can make sure I am doing it right!

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Apr 29·edited Apr 29Liked by Hans G. Schantz

Hans, may one of my Characters quote you with credits and and a link to this work? There is a place where this fits in to WATCHER of the DAMNED perfectly, because we are dealing with Electromagnetic Radiation!!

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