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"Tim Martin" <tim2718281@ntlworld.com> wrote in message
news:4QVpe.7653$8m5.699@newsfe5-gui.ntli.net...
>
> "Wessel Dirksen" <wdirksen@gmail.com> wrote in message
>
news:1118245554.711573.288300@g14g2000cwa.googlegroups.com...
>
> > Simpler yet, infinity is even ruled out by the very
vehicle of sound
> > propagation itself which can never be infinite. If
anything is acoustic
> > in nature, it can't be of infinite bandwidth otherwise
it would violate
> > Newton's basic law of conservation of energy. To say
that any "sound"
> > has infinite bandwidth is to say that inertia doesn't
exist.
>
> Sorry, I don't see why there being no lower limit to time
resolution in an
> analog signal would violate conservation of energy.
A lower limit to time resolution is a consequence of the
signal having finite duration. If the signal went on
indefinitely it would have no lower limit.
If the signal went on indefinitely and had finite energy in
all or most finite time segments, then the total signal
would have infinite amounts energy.
Now if the presence of infinite amounts of energy doesn't in
some sense violate the law of conservation of energy... ;-)
"Tim Martin" <tim2718281@ntlworld.com> wrote in message
news:4QVpe.7653$8m5.699@newsfe5-gui.ntli.net...
>
> "Wessel Dirksen" <wdirksen@gmail.com> wrote in message
>
news:1118245554.711573.288300@g14g2000cwa.googlegroups.com...
>
> > Simpler yet, infinity is even ruled out by the very
vehicle of sound
> > propagation itself which can never be infinite. If
anything is acoustic
> > in nature, it can't be of infinite bandwidth otherwise
it would violate
> > Newton's basic law of conservation of energy. To say
that any "sound"
> > has infinite bandwidth is to say that inertia doesn't
exist.
>
> Sorry, I don't see why there being no lower limit to time
resolution in an
> analog signal would violate conservation of energy.
A lower limit to time resolution is a consequence of the
signal having finite duration. If the signal went on
indefinitely it would have no lower limit.
If the signal went on indefinitely and had finite energy in
all or most finite time segments, then the total signal
would have infinite amounts energy.
Now if the presence of infinite amounts of energy doesn't in
some sense violate the law of conservation of energy... ;-)