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AM electromagnetic waves: astronomically-high modulation frequency on an astronomically-low carrier frequency
"Radium" wrote in message oups.com... Hi: Please don't be annoyed/offended by my question. I have a very weird question about electromagnetic radiation, carriers, and modulators. Is it mathematically-possible to carry a modulator signal with a frequency of 10^1,000,000,000-to-the-power-10^1,000,000,000 gigacycles every 10^-(1,000,000,000-to-the-power-10^1,000,000,000) nanosecond and an amplitude of 1-watt-per-meter-squared on a AM carrier signal whose frequency is 10^-(1,000,000,000-to-the-power-10^1,000,000,000) nanocycle* every 10^1,000,000,000-to-the-power-10^1,000,000,000 giga- eons and whose amplitude is a minimum of 10^1,000,000,000-to-the- power-10^1,000,000,000 gigaphotons per 10^-(1,000,000,000-to-the- power-10^1,000,000,000) nanosecond? If it is not mathematically-possible, then please explain why. 10^-(1,000,000,000-to-the-power-10^1,000,000,000) second is an extremely short amount of time. 10^-(1,000,000,000-to-the- power-10^1,000,000,000) nanosecond is even shorter because a nanosecond is shorter than a second. 10^1,000,000,000-to-the-power-10^1,000,000,000 cycles is an extremely large amount of cycles. 10^1,000,000,000-to-the-power-10^1,000,000,000 gigacycles is even more because a gigacycle is more than a cycle. Giga-eon = a billion eons Eon = a billion years Gigacycle = a billion cycles. *nanocycle = billionth of a cycle Gigaphoton = a billion photons 10^1,000,000,000-to-the-power-10^1,000,000,000 -- now that is one large large number. 10^1,000,000,000 = 10-to-the-power-1,000,000,000 So you get: (10-to-the-power-1,000,000,000) to the power (10-to-the- power-1,000,000,000) 10^-(1,000,000,000-to-the-power-10^1,000,000,000) = 10^-(10-to-the- power-1,000,000,000)-to-the-power-(10-to-the-power-1,000,000,000) 10^-(10-to-the-power-1,000,000,000) to the power (10-to-the- power-1,000,000,000) is an extremely small number at it equals 10-to- the-power-NEGATIVE-[(10-to-the-power-1,000,000,000) to the power (10- to-the-power-1,000,000,000)] No offense but please respond with reasonable answers & keep out the jokes, off-topic nonsense, taunts, insults, and trivializations. I am really interested in this. Thanks, Radium Radium The answer is no. It takes a finite time for even so called 'instantaneous' quantum interactions to occur, so the frequencies quoted are a nonsense. Essentially frequencies above around 10 ^ 30 Hz may (as) well not exist. I am probably a few orders of magnitude out here, but that is the general idea. For a detailed explaination see "The Road to Reality: A complete Guide to the Laws of the Universe by Roger Penrose - ISBN 0739458477". Available from Amazon and all good booksellers. Mr. Penrose has collaborated with some of the greatest theoretical mathamaticians and physicists of the last fifty years and if you can follow the maths, all will become clear. This book will explain a lot of the maths required anyway, so worth giving it a go. Most mathematicians prefer to simplify equations by removing superfluous zeroes and exponents by cancellation on either side of the equation. :-) Mike G0ULI |
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