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Delta-T Antenna (T.E.C.)
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<blockquote data-quote="Sonix" data-source="post: 186209" data-attributes="member: 10954"><p>I'd like some discussion on this. My sense is that this is correct that the magnetic field can apparently exceed the speed of light - though I'm not sure if this is just a trivial technicality without consequence or if it is potentially significant.</p><p></p><p>[Please excuse me spelling out the grade-school-level math here - I'm just detailing my line of thought on this.] If you picture the earth spinning on its axis, any location on the equator is traveling approximately 40,075 km around the axis every 24 hours, which would mean an object on the surface at the equator is traveling nearly 1,670 km/hr. The distance around the axis (not the center) at the 45th North parallel is approximately 28,361 km, so an object on the surface at the 45th parallel travels nearly 1,182 km/hr - thus slower than an object at the equator. If we picture a spinning disk, objects on its surface closer to the center travel slower than objects on its surface further from the center, as all circumnavigate the center in the same amount of time but the outlying objects cover more distance to do that.</p><p></p><p>If, per the above quote, feeding the 2 crossed square antennae signals at sine and cosine does create a magnetic field with a rotational velocity equal to the input frequency, then one can, I think, quickly calculate what frequency would create a magnetic field traveling at the speed of light for any particular distance from the center of the coils.</p><p></p><p>Say you wanted your magnetic field to be moving at the speed of light at a distance of 1 meter from the center of the coils. The circumference of an orbit around the coils at this distance out is 6.283185307 meters. How many times would an object travel an orbit with circumference of 6.283185307 m in one second if traveling at the speed of light? 299,792,458 divided by 6.283185307 is 47,713,451.59 times. 47,713,451.59 times per second is 47,713,451.59 hz, which equals approximately 47.7 Mhz. Which is to say that if one was feeding a 47.7 Megahertz signal into two antennae crossed at 90 degrees, with the signal of one coil out of phase with the other by 90 degrees, it appears that the rotating magnetic field, at a distance one meter from the center of the coils, would be circumnavigating the center at the speed of light. And for any distance from the coils beyond one meter, the field would be "traveling" at faster than the speed of light.</p><p></p><p>I put "traveling" in quotes in that last sentence as I recognize this is not the same as an object traveling at this speed - which of course would contradict Special Relativity and I have no delusion that would be happening. This might be more analogous, I think, to having a long string of light bulbs and quickly turning bulb 1 on and off, then bulb 2 on and off, then bulb 3, etc - there is the appearance of a lit bulb traveling down the line of bulbs and you could measure the speed of the virtual lit bulb, but in reality it is only a series of bulbs with each being turned on and off in turn and nothing actually moving down the line.</p><p></p><p>Is this math correct? And might this have any significance?</p></blockquote><p></p>
[QUOTE="Sonix, post: 186209, member: 10954"] I'd like some discussion on this. My sense is that this is correct that the magnetic field can apparently exceed the speed of light - though I'm not sure if this is just a trivial technicality without consequence or if it is potentially significant. [Please excuse me spelling out the grade-school-level math here - I'm just detailing my line of thought on this.] If you picture the earth spinning on its axis, any location on the equator is traveling approximately 40,075 km around the axis every 24 hours, which would mean an object on the surface at the equator is traveling nearly 1,670 km/hr. The distance around the axis (not the center) at the 45th North parallel is approximately 28,361 km, so an object on the surface at the 45th parallel travels nearly 1,182 km/hr - thus slower than an object at the equator. If we picture a spinning disk, objects on its surface closer to the center travel slower than objects on its surface further from the center, as all circumnavigate the center in the same amount of time but the outlying objects cover more distance to do that. If, per the above quote, feeding the 2 crossed square antennae signals at sine and cosine does create a magnetic field with a rotational velocity equal to the input frequency, then one can, I think, quickly calculate what frequency would create a magnetic field traveling at the speed of light for any particular distance from the center of the coils. Say you wanted your magnetic field to be moving at the speed of light at a distance of 1 meter from the center of the coils. The circumference of an orbit around the coils at this distance out is 6.283185307 meters. How many times would an object travel an orbit with circumference of 6.283185307 m in one second if traveling at the speed of light? 299,792,458 divided by 6.283185307 is 47,713,451.59 times. 47,713,451.59 times per second is 47,713,451.59 hz, which equals approximately 47.7 Mhz. Which is to say that if one was feeding a 47.7 Megahertz signal into two antennae crossed at 90 degrees, with the signal of one coil out of phase with the other by 90 degrees, it appears that the rotating magnetic field, at a distance one meter from the center of the coils, would be circumnavigating the center at the speed of light. And for any distance from the coils beyond one meter, the field would be "traveling" at faster than the speed of light. I put "traveling" in quotes in that last sentence as I recognize this is not the same as an object traveling at this speed - which of course would contradict Special Relativity and I have no delusion that would be happening. This might be more analogous, I think, to having a long string of light bulbs and quickly turning bulb 1 on and off, then bulb 2 on and off, then bulb 3, etc - there is the appearance of a lit bulb traveling down the line of bulbs and you could measure the speed of the virtual lit bulb, but in reality it is only a series of bulbs with each being turned on and off in turn and nothing actually moving down the line. Is this math correct? And might this have any significance? [/QUOTE]
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