minkwe wrote:1) quanta/particles can transfer momentum to the walls if the slits.
2) The amount of momentum transferred, determines the angle of deflection of the particle.
3) Transfered momentum is quantized. Therefore the particles are deflected into discrete directions.
4) The allowed directions are determined by the relationship between the normal modes if the slit system and the frequency of the quanta/particle.
5) Since different slit systems have different normal modes, the diffraction patterns are different.
6) The pattern produced, and the slit system producing it have a dual relationship. They can be expressed as Fourier transforms of each other.
minkwe wrote: the dynamics of an atom in the slit can be determined by the structure of the whole, so that a completely local interaction between an impinging particle and a single atom will contain information about the whole, without the interaction itself being with the whole slit assembly. Diffraction patterns are only produced by combining multiple different interactions of millions of different particles with different atoms of the slit ensemble, spread out over time, at different times in their oscillation cycles. That is why the pattern builds up over time. There is no interaction with the "whole slit assembly", rather the particles sample the time varying dynamics of the different particles of the slits. The dynamics, which in-turn is determined by the structure of the whole slits. Most of the confusion is introduced by naively believing that a single particle produces a diffraction pattern. It does not. A single particle samples one vibrational state of one atom at one given moment in time (the relevance of the Fourier transform then becomes quite clear).
minkwe wrote:The key is that, although each particle impinges on a specific molecule at a time, different particles impinge on different molecules at different times, at different points in their vibrational cycles, thus transferring different amounts of momentum. The diffraction pattern is therefore a sort of "histogram" of momentum transferred. The particles could be said to be sampling the "allowed" momentum transfers to the molecules. ... , there is no group action. Different particles simply sample different points in the vibrational cycle.
... each particle only interacts with a given atom, transfers only an "allowed" amount of momentum. The angle it leaves the slit is a function of the momentum transferred. Different particles do the same thing. At the end you look at the histogram of angles leaving the slits and find that there are more particles heading in some directions -- ie, certain values of momentum transfers are more preferable than others, hence the bright regions vs the dark regions. This is why it may appear as though the pattern is random until you have collected a large number of particles.
minkwe wrote:5) Since different slit systems have different normal modes, the diffraction patterns are different.
minkwe wrote:Most of the confusion is introduced by naively believing that a single particle produces a diffraction pattern. It does not. A single particle samples one vibrational state of one atom at one given moment in time (the relevance of the Fourier transform then becomes quite clear).
gill1109 wrote:Thank you. Please look at this point:minkwe wrote:5) Since different slit systems have different normal modes, the diffraction patterns are different.
This seems to me "non-locality", more precisely: instantaneous action-at-a-distance. The slit system is treated as a rigid body. A particle hitting the right hand slit can "feel" if the left hand slit is open or closed.
Suppose one can close either slit by a kind of curtain hanging immediately on the other side of the slit. So the particle first meets a solid object with one or two slits in it, goes through one or the other slit ... and then, if it goes through the right hand slit, it is absorbed by a curtain hanging just behind the right hand slit.
No change to the "normal modes" of the slit system.
gill1109 wrote:So what would we see if we did N = 10^6 two-slit experiments each with just one particle each? (And afterwards superimpose all the 10^6 pictures of one dot on one screen?) This seems to me to be where you are assuming some kind of memory in the system.
Later particles "know" about the two slits both being there, because the way the whole thing is vibrating, due to earlier collisions.
In other words, you relax the "rigid body" picture of the assembly with the two slits, now it consists of lots of interacting molecules
but now it takes some time for the molecules making up the left hand slit to know that the right hand slit is open or closed. They slowly get this information from feeling the collisions of the particles with the molecules in the neighbourhood of the slits.
minkwe wrote:How long does it take for the atoms in your head to sense the momentum transferred to the atoms in your feet when you jump on a trampoline. Do you believe it happens faster than the speed of light? But again you misunderstand my explanation. The particles do not "feel" each other vicariously through the slits, they interact only with the atom they impinge on. They "feel" only that single atom. But that atom had previously felt it's neighbor and it's neighbor had felt it's other neighbor and that cascade had continued until there was no neighbor on the other side, over time, the vibrations of all the atoms in the slits has reached steady state, incorporating all the structural information about which atoms have neighbors and which do not into the dynamics of all the atoms. And that dynamics will be different since the number of atoms which have no neighbor are different for each, etc. All this happens at/below the speed of light before your experiment even began.
gill1109 wrote:minkwe wrote:How long does it take for the atoms in your head to sense the momentum transferred to the atoms in your feet when you jump on a trampoline. Do you believe it happens faster than the speed of light? But again you misunderstand my explanation. The particles do not "feel" each other vicariously through the slits, they interact only with the atom they impinge on. They "feel" only that single atom. But that atom had previously felt it's neighbor and it's neighbor had felt it's other neighbor and that cascade had continued until there was no neighbor on the other side, over time, the vibrations of all the atoms in the slits has reached steady state, incorporating all the structural information about which atoms have neighbors and which do not into the dynamics of all the atoms. And that dynamics will be different since the number of atoms which have no neighbor are different for each, etc. All this happens at/below the speed of light before your experiment even began.
Indeed, it takes some time. All this happens at/below the speed of light.
Hence slit 1 "knows" that slit 2 was open a few nano-seconds ago, but it doesn't know if is open right now. So if we open and close the slits very rapidly and unpredicatably, your explanation will no longer work.
I call this the memory loophole! You can call it what you like, but it corresponds precisely to well known loopholes in EPR-B experiments.
minkwe wrote:You need to read what I write more carefully. Slit 1 doesn't know anything. There is no memory.
minkwe wrote:http://phys.org/news/2015-03-particle.html
Those of you familiar with the discussion we had on this thread might be interested in the above experiment.
minkwe wrote:
Any clarifications of the above needed, before I proceed?
Bill wrote:Thanks Q for your reply. I apologize for the delay, but I have been having some serious conversations with some trout!
You said, “Not happy initially that a number of equation entities were never defined.” The pdf was generated because the entire GUTCP is kilo-pages long and extraordinarily challenging to understand.
Re your p 107/108 comments, you said, “See if you can guess…”
I am extraordinarily poor at guessing what someone that I do not know *might* be considering to be erroneous. If you would like to provide a clear, concise explanation of the perceived error, I’ll be happy to tackle it – alone or in concert with associates on the “Society For Classical Physics” group.
You said, “Also, explanation for double slit pattern - pp123-124, is hardly unique to him…” I am not aware of any such “uniqueness” claim, in fact, I some years ago on th the old EM forum, I noted the striking resemblance between the “un-explainable” double slit patterns and those patterns that one encounters in antenna design (my passion) when an antenna is excited by RF and another, similar-but-unexcited antenna is present.
You *have* read Chapter 8, right? This explains the concept in (almost) excruciating detail. Mills also addresses some aspects on “un-charged” double slit performance.
Re neutrons, it is not obvious (to me) how one goes about accelerating a neutron without imparting *some kind* of non-kinetic energy to it.
Also, unless the “neutron gun” is incredibly accurate, some of the neutrons *will* smash into the slit edges. And that action will transform some of the neutrons into charged particles with similar mass. Also, the energy of impact of neutrons will set up slit fields that will interact with the now-charged neutron “residue” resulting in patterns associated with the Fourier transform of the slit pattern.
Put another way, in a double-slit experiment involving neutrons, how do we *know* that the items hitting the target on the far side of the slit are *still* neutrons and not charged heavy particles?
One last note: You suggest that Mills “stumbled” across a whole new concept. The initial concept was begun when Randy became disgusted with the imprecise nature of QM. He (IMO correctly) perceived that the nonsense of QM came about because of an inaccurate model of the electron. Basically, he noted that *all* previous electron models either had basic flaws causing them to “blow up” (as discussed by Jackson in Ch 17.4) or “radiate away.”
He developed a model that is stable as both a free and an orbiting item. Perfecting this took 20+ years.
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