On Jun 27, 9:38 pm, Radium <gluceg...@gmail.com> wrote:
> 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

AM = k*(1+f(t))*cos(w*t+theta) Eqn. 1

where k is the desired carrier amplitude
f(t) is the modulating signal, scaled so that negative peaks are
greater than -1
w is the radian carrier frequency
t is time
theta is whatever carrier phase offset you want; a constant.

Now you go figure it out. Is there anything in your incomprehensible
problem statement that can't be accommodated by Eqn. 1? Actually
accomplishing it is left as an exercise for you to spend the rest of
your life on.