| boson boss 2007-06-26, 5:25 pm |
| On Jun 26, 2:21 am, Radium <gluceg...@gmail.com> wrote:
> Hi:
>
> Please don't be annoyed/offended by my question.
>
> Paul Cardinale said that there is no higher limit to the frequency a
> carrier wave can transport -- regardless of the carrier wave's
> frequency.
>
> Karl Uppiano said 2.89e6-photons-per-second is the minimum wattage
> required to carry an audio signal.
>
> After reading the above, I assume it is 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 gigaeons 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 I assume wrong, please explain how I am wrong as Cardinale already
> said that there is no minimum carrier-frequency required on AM radio.
> IOW, there is no limit to how high a frequency a modulator signal can
> be and still be coherently encoded on an AM carrier wave.
>
> A 20 KHz tone can exist in a 1 Hz AM carrier signal -- or that is what
> I am getting from Cardinale's statement.
>
> 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.
>
> Gigaeon = 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)]
>
> Thanks,
>
> Radium
"The speed of light can also be of concern on very short distances. In
supercomputers, the speed of light imposes a limit on how quickly data
can be sent between processors. If a processor operates at 1 GHz, a
signal can only travel a maximum of 300 mm in a single cycle.
Processors must therefore be placed close to each other to minimise
communication latencies. If clock frequencies continue to increase,
the speed of light will eventually become a limiting factor for the
internal design of single chips."
|