How can the RF waves effectively travel 15% farther while slowing in the dielectric and traversing the same physical distance?
difference between dielectric constant of 1.76, and 4.2
OK, second look (found one error so far) at the proposition that dispersion caused by an accelerating frame of reference implied an accelerating frame of reference caused by a dispersive cavity resonator to 1st order using massless, perfectly conducting cavity. Quickie calculation to rotate waveguide into doppler frame for acceleration g.g = (X[subm,n])^2*(c/4*pi^2)*lambda^2*((1/a^2)-(1/b^2))where a anb b are the end plate radii and the X are the Bessel function zeros.X[subm,n] = m-th root of dJ[subn](x)/dx = 0[1,0]=3.83, [1,1]=1.84, [1,2]=3.05, [2,0]=7.02, [2,1]=5.33, [2,2]=8.54, [3,0]=10.17, etc.Lambda < cutoff wavelength.Lambda is the free space wavelength c/f.giving thrust per photon:T = (X[subm,n])^2*(h/4*pi^2)*lambda*((1/a^2)-(1/b^2))If the number of photons is power * Q / hf then I should be able to try some numbers (and possibly find more mistakes)T = P*Q*(X[subm,n])^2*(c/4*pi^2)*lambda^2*((1/a^2)-(1/b^2))Doesn't look too obvious, but we'll see what else I've missed.
Dispersion, like rainbow dispersion? Interesting.....How does dispersion work with a CW spike operating in a single mode? I need to take a moment with a Twix.
Please forgive my ignorance. This is a new way of thinking for me. So do you mean dispersion due to doppler frequency shifting inside the cavity due to acceleration of the cavity? Maybe? Trying to grasp what you're saying is all.
the cavity sitting on the bench isn't accelerating wrt any observers
But there are other ways to get dispersion besides acceleration induced doppler shifts.
Quote from: Mulletron on 11/30/2014 09:57 pmthe cavity sitting on the bench isn't accelerating wrt any observersIt all depends on how small an acceleration one is considering, as astronomers need to subtract time-varying Doppler shifts due to Earth's changing velocities if they are interested in equal or smaller changes due to the actual motions of the stars. For example, 1) the centripetal acceleration at the Equator is about 0.034 m/sec^2 (0.3% of the gravitational acceleration g). 2) The centripetal acceleration of the Earth around the Sun is 0.0059 m/sec^2 (0.06 % of the gravitational acceleration g).3) The centripetal acceleration required for our Sun and solar system to orbit the center of our galaxy is very small: 1.9*(10^(-10)) m/sec^2.
Quotethe cavity sitting on the bench isn't accelerating wrt any observersWell I concede it is accelerating wrt observers after you turn it on. Gotta look at cause and effect here.That was a good analysis. I wish you could run your math wizardry on my "unpossible" post from yesterday.Here's what I'm looking at:So Molly is an electron in the dielectric, Chris and Jim are a bunch of random vacuum fluctuations. Will and Richard Grieco (not shown ) are photons of the RF EM waves. Will and Richard Grieco only dance when "What is Love" is playing when RF is turned on. The dance club is a new place called Copper Conical Frustum. The idea here is to get Chris to dance harder than Jim. I want Molly to dance across the room. Instead of being buffeted in the middle, like what usually happens over at The China Club. http://www.nasa.gov/centers/glenn/technology/warp/possible.html"It has also been suggested by Millis that any asymmetric interactions with the vacuum energy might provide a propulsion effect."#vacuum polarization #zitterbewegungDisclaimer: I promise I wasn't tanked while writing this analogy. Just trying to communicate a concept in a hilarious thought provoking way.