Richard Harrison wrote:

Keith wrote:
"2) At quarter wave points along this line, voltages and currents which
are always 0 can be observed -- the standing wave."

This is proof positive in Keith`s own words that the first 0-volt point
encountered by either forward or reflected wave is completely
ineffective in halting or abating progress of the waves.

Keith also wrote:
"6) From 2) and 5), the power (rate of energy flow) at quarter wave
points will be 0."

The contradiction is obvious. Were energy flow or power reduced by SWR
zeros, you would not have multiple zeros along the line.

Your analysis overlooks that we are discussing an ideal line that
has reached steady state. Before the line reaches steady state, energy
does cross the quarter wave points, but, of course, while this is
happening the voltages and currents at the quarter wave points are not
yet zero.

As an aside, were we to discuss a line that was not open or shorted
but rather terminated in other than its characteristic impedance, we
would still find voltage and current minimas. At these minima, rather
than the energy flow being 0 as it is for a shorted or open line, the
energy flow (power) is exactly the energy being delivered down the
line.

Something similar occurs while an opern or shorted line is approaching
steady state.

....Keith