Laws of science are predicated of our presence in the Universe such as
a single bubble in a bubble bath where pressure contained in a bubble
is different to that of other bubbles. Thus pressure in a single
bubble is analogous to a small part which constitutes the law of
partial pressure.Thus when we on Earth view a half wave as resonant we
have moved away from the concept of the Universe upon which boundary
laws are founded.The concept of a half wave being resonant
is really an approximation of equality in volved in the boundary
aproach similar to the conversion of a three dimensional picture to
that of a two dimension. We see this in a pendulum clock where
friction is used as an equivalent of that which is lost in the change
which is also relative to momentum. We can look at a pendulum clock
and see that this results of showing the effects of equality where
momentum has been manipulated. If a half wave was truly a resonant
point which signifies the completion of one repeatable action we would
expect that the pendulum only swings from top to bottom and back again
by discarding momentum. If the bob of a pendulum is made of a long
length with allowance for movement in three dimensional form we have a
paradox where because of three dimensional movement the pendulum
changes to a circular movement which does not has a repartation of
sequences which signifies accountability because of the Corriolis
effect which is a phenomina of Earth and not the Cosmos. i.e. similar
to the analogy
of partial pressures. Thus, when following the laws of Newton which
follows the nature of the Cosmos, we must take into account the laws
of relativity which is a recognition of change depending on what part
of the Universe that you are viewing things from. This is a
diffinitive metric and not an average metric as viewed by Newton.
Since we are following the laws of the Cosmos(Newton) the metric of
balance must also be that of the Cosmos where true resonance becomes
equal to a period where all forces are accounted for and not that of
half a period.
David, science is a part of nature as is electrical and mechanical and
chemical understanding and not a compentalization of unconnected
sciences. It is for this reason that shows the lack of understanding
of Newtons laws which has mislead the World into using a half period
as a resonant point in communication.
Best regards
Art Unwin