Buddhism and Quantum Physics
Single slit in top position - intensity of glow due to electrons |
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We place a sheet of foil, which stops the electrons, between the emitter and the screen. The sheet has a very thin slit in it just above the level of the emitter. Looking at the screen we see what we might expect - most of the screen is dark but there is a glowing band behind the slit where the electrons are getting through and hitting the phosphorescent dots. The glowing band, slit and emitter are all in direct line of sight. |
There is nothing remarkable about this. The main area of the foil is casting an 'electron shadow' with a thin stream of electrons passing through the slit. As the effects of gravity are negligible and there are no strong magnetic or electric fields, we would expect the electrons to travel in a straight line, and this indeed appears to be what happens. |
Single slit in bottom position - intensity of glow due to electrons |
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We replace the first sheet of foil with another sheet which has a very thin slit just below the level of the emitter. Looking at the screen we see what we might expect, which is almost the same as we saw for the first slit. Most of the screen is dark but there is a glowing band behind the slit where the electrons are getting through and hitting the phosphorescent dots. As the glowing band, slit and emitter are all in direct line of sight the band is at a slightly lower position than for the first slit. |
Both slits with a stream of particles - expected results |
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We now replace the sheet of foil with one containing two slits, of exactly
the same size and exactly the same positions as before. Common-sense tells us that we
should see an additive effect of the two individual slits. There should be two glowing
bands, one at each of the previous positions. But common-sense is wrong - this doesn't happen! |
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Both slits with a stream of particles - actual results |
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Instead we see a number of glowing bands at different positions from those seen with either of the two individual slits. Regions which were dark in both previous experiments have become light, and vice versa. In fact the electrons are showing interference effects, which are typical of waves. Waves which converge after travelling two different paths show a pattern of high energies at places where troughs and peaks converge simultaneously, and zero energies where troughs coincide with and cancel peaks. |
Stretching common-sense a little we conclude that introducing the second
slit has somehow forced the electrons to behave as waves rather than particles. One of the characteristics of waves is that they spread out. But if we observe the screen closely we notice that the glow isn't spread out. Individual dots are still momentarily glowing while their neighbours may remain dark. The electrons are arriving as particles. So we may conclude that the electrons are travelling as waves, and interfering with one another, but as soon as they meet a detector they immediately resume particle behaviour. Two slits, one particle at a time One obvious way to get rid of the interference effects is to ensure that only one electron is travelling at any one time. If we do this then each electron will have an unobstructed run and, over the course of time we should see a pattern build up which is the same as for two single slits added together. To do this we reduce the power of the emitter so that it does not release an electron until the previous one has hit the screen, so removing any possibility of interference. We could actually sit and watch each individual electron arrive at the screen but this would be time consuming. Instead we stick the photographic paper on the screen and leave it for a while. But when we develop the photographic paper, we find the same interference pattern that we saw when many electrons were passing through the apparatus simultaneously! The same areas which were dark in the two slit experiment remain dark, despite their being light in the single slit experiment. So our original ideas of electrons interfering with one another by cancelling and reinforcing is wrong. Each electron cancels and reinforces itself when two slits are open, but does not do so when only one slit is open. The only logical explanation left is that a single electron must split and pass through both slits simultaneously. We can install detectors behind the slits to confirm this. Check both slits We place extremely sensitive particle detectors behind each slit and then set the emitter to release electrons singly. We wait to observe the simultaneous arrival of two bits of electrons at both particles detectors. And we wait ... and wait ... and wait. But all we ever see is that either one particle detector registers an electron or the other does, but never both simultaneously. Each electron travels through either one slit or the other. So if it does not traverse both routes, how does the electron 'know' that the other slit is present. Well obviously a thing as simple as an electron can't know anything. And yet knowledge of the existence of a second slit is involved at the deepest level of these series of experiments. Knowledge of possibilities rather than any actual particle trajectory , or other physical event, seems to be determining the properties of material objects. But if the electron has no knowledge of its environment, then the only other place where such knowledge could reside is in the mind of the observer. Therefore the observer's mind is in some way determining the outcome of the observations. If the experimenter's observational set-up imputes the concept 'wave', then he will see wave-like behaviour. If he imputes the concept 'particle' then he will see particle-like behaviour. Even placing a particle detector behind only one of the slits destroys the interference pattern, because the experimenter has in so doing imputed the concept 'particles' over the electrons despite both slits remaining open and one route being unobstructed. More detailed descriptions of the two-slit paradox are given in The Emperor's New Mind by Roger Penrose [PENROSE 1990b ] and Where Does the Weirdness Go? by David Lindley [LINDLEY 1997a]. |
Stern and Gerlach's magnets One of the earliest demonstrations that the choice of observation imputes qualities on a quantum system (rather than merely observes what is already there) is due to Stern and Gerlach. Many subatomic particles are tiny magnets with north and south poles of equal strength. If we obtain a stream of particles from a random source, such as a hot wire, then we would expect them to be randomly aligned. The north south axis might run up-to-down, left- to- right, back-to-front or vice versa or any intermediate orientation. In fact, we would expect only a small proportion to by aligned exactly up/down, the vast majority will be somewhere in between. Stern and Gerlach set up a special type of magnetic field where the strength of the poles declines rapidly with distance. In certain areas of the magnetic field this would deflect the particles according to their orientation. The mechanism is as follows: Assume that particles pass by the equipment's north pole which is at the top. A particle with its north pole facing directly upwards would be expected to be deflected strongly downwards because the repulsion due to its north pole would be stronger than the attraction due to its south pole (because the particle's south pole is further away from the apparatus' north pole and so in a weaker part of the field). Conversely a particle with its south pole upwards would be expected to be deflected upwards. However the vast majority of particles would not be aligned directly upwards or downwards but somewhere in between. These would be deflected less strongly, and the large number aligned more or less a right angles to the field would undergo very little deflection at all . |
Stern Gerlach - expected results |
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If we examined the beam after passing through the magnetic field (by placing a photographic screen in the way) we would expect it to have assumed an elongated shape, with the brightest areas (most particles ) being in the central undeflected area. THIS DOES NOT OCCUR! |
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Stern Gerlach - actual results |
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All particles are deflected either equally upwards or equally downwards in a 50:50 ratio. There are no intermediate positions. |
We are therefore left with three possible conclusions:
Quantum sunyata Basically, what quantum theory says is that fundamental particles are empty of inherent existence and exist in an undefined state of potentialities. They have no inherent existence from their own side and do not become 'real' until a mind interacts with them and gives them meaning. Whenever and wherever there is no mind there is no meaning and no reality. This is a similar conclusion to the Mahayana Buddhist teachings on sunyata. The ultimate manifestation of quantum sunyata is when quantum theory is applied to the entire universe. According to some cosmologists, the universe began as a quantum fluctuation in the limitless Void (Hartle-Hawking hypothesis). The universe remained as a huge quantum superposition of all possible states until the first primordial mind observed it, causing it to collapse into one actuality. This fascinating theory is discussed in The Participatory Anthropic Principle. - Sean Robsville See also: Buddhism, Quantum Physics and Mind
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