Dear Sir,
You have made a brilliant analysis using modern views. But can we go a little out of box and analyze the facts?
What is the fundamental difference between classical physics and quantum physics? It is basically the motions of the collective versus the individual. In classical physics, the bonding of quantum particles makes the interaction non-linear. In case of quantum particles, it is linear. You also agree when you say: "A classical observer predicts a determinate albeit chaotic path for a goal". But is noise of classical chaos for macroscopic action usually masks the decoherence of quantum phase noise? Should it not be the opposite? After all, penetrability and energy level of quantum particles are more than classical particles.
Phase noise is the frequency domain representation of rapid, short-term, random fluctuations in the phase of a waveform, caused by time domain instabilities or "jitter". The idea of phase noise is based on some sort of a circuit model derived from practical measured data and/or intuitive observation regarding noise phenomena.
Phase defines a trajectory versus time (t), whose variance around the noiseless straight line trajectory grows proportionally with elapsed time. This is because ¤å(t) = Ô꽤ë(t)dt. Nevertheless ¤å is stationary, and has a well-defined power spectral density S¤å(f). Phase fluctuations in a sinewave correspond to voltage fluctuations; AM sidebands and PM sidebands at offset frequency fm from average oscillation frequency. In an oscillator circuit, there are multiple sources of voltage and current noise circuit. Noise sources collectively pull the free-running oscillator's frequency, through injection locking to generate phase noise.
Jitter could be bound or unbound. Deterministic jitter arises from coupling on to signal lines from: 1. Electromagnetic interference 2. Crosstalk 3. Reflections. Though random and deterministic effects are independent, they may be de-convolved from histogram, by first fitting tails of distribution to best-fit Gaussian. Then histogram of deterministic jitter is extracted by deconvolution. Histogram does not specify frequency of jitter-inducing signal. Spectral density of jitter is useful to isolate frequencies, which appear as discrete lines.
How are these relevant in the double slit experiment? The double shit experiment is usually conducted with electrons or photons. We do not know WHAT is an electron, though we know all about what it does. Photon is massless. Does the experiment conducted using protons behave similarly? If not why not? If you watch the water waves behind a steamer, they reconnect just like the interference pattern of the double slit experiment. Can there be no macro examples for the micro phenomena? We will comment on the other aspects of your paper separately.
Regards,
basudeba
