Is science sometimes in danger of getting tunnel vision? Recently published ebook author, Ian Miller, looks at other possible theories arising from data that we think we understand. Can looking problems in a different light give scientists a different perspective?

An Alternative Interpretation Of Quantum Mechanics

The biggest alternative interpretation must surely be of quantum mechanics. So far there are at least three major interpretations, (Copenhagen, pilot wave, many worlds) with variations, but that should not let that deter one should it, after all, who understands quantum mechanics? After more than a little tiring effort, I have finally self-published an ebook on my alternative interpretation of quantum mechanics. (If interested, see http://www.amazon.com/dp/B00GTB8LJ6 ). Why self-publish as opposed to publish a series of papers? There are a number of reasons, not the least of which is that any part of the foundation of the theory that could be condensed into a paper is not very convincing by itself, whereas any of the applications of the interpretation without the underlying foundation is more difficult to understand. There are further reasons, including at my age there is a desire to get this out rather than argue with a sequence of referees.
 
How can there be a yet another interpretation? Actually, quite easily. We start with the Schrödinger equation, from which we get a wave function. The wave function is a complex function, correct? Well, not entirely. If you take the standard wave function as seen in fundamental text books, and consider this from the point of view of Euler's presentation of complex numbers, then the wave function becomes real at the very extremes of the crest and trough of the wave. The first significant difference of this interpretation is the assumption that the wave only has physical effect on the particle when it is real.
 
If that assumption is correct, then it follows that the phase velocity of the wave has to equal the expectation velocity of the particle, so that the two can be in roughly the same place at the same time. That gives a further relationship, from which the square of the amplitude must be proportional to the kinetic energy of the particle. Since energy is proportional to mass, it follows that the probability of finding the position of a particle will roughly follow the Born interpretation. It does not quite, but that is a detail.
 
If this interpretation is correct, then all the results of the two-slit experiment follow (and a further experiment is proposed that will give a rather unexpected result), the reason why an electron does not spiral into the nucleus of an atom as expected from Maxwell's relationships follows by following Maxwell's relationships! The Uncertainty Principle and the Exclusion Principle are now derived. But the real great advantage, from my point of view anyway, is that you do not have to solve differential equations! The only physically real picture is when the action is quantized, i.e. occurs in some numbers of Planck's quantum of action. First order computations for simple systems merely require counting. The basics of chemistry are simply obtainable by requiring the quantization of action over the sum of separable components. More on this in later posts, but one final comment. Assuming I am correct, obviously action is a very important concept, but how many chemists know what it is? When is it mentioned in undergrad courses in chemistry?
 
So, why am I tired? Ever tried compiling an ebook with mathematical symbols? If you do not use Unicode (Universal code) symbols, and Microsoft Word frequently does not, almost anything can come out. And the problem is, in some cases you cannot work out whether the symbol is Unicode or not. Also, you might imagine there would be one Universal code, right? Sorry, no. And, apparently as the versions change to adopt new symbols, old ones drop out, but not all of them. Some sort of standardization would be good!
Posted by Ian Miller on Nov 25, 2013 1:25 AM Europe/London

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