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Princeton University Press eBooks

The Math That Takes Newton into the Quantum World

John C. Baez

Published Nov 16, 2020• 0 citations
Publisher
DOI
10.1515/9780691213651-007

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arXiv:1410.5452•Oct 16, 2014•0 citations
With a clever new interpretation of the Schrödinger equation, those quantum experiments that allegedly prove that the quantum world is weird, no longer do so. When we approach the math from an unexpected angle, experiments that appeared to prove that time can go backwards in the quantum world, no longer say that. Experiments that appeared to demonstrate that a particle can be in two places at the same time, no longer say that. This requires that we take a counter-intuitive approach to the math, rather than a counter-intuitive approach to the quantum world. QM makes sensible assumptions and discovers that the quantum world is weird. Our math from the Theory of Elementary Waves (TEW) makes weird assumptions and discovers that the quantum world is sensible. We pay the weirdness tax up front. QM does not pay the weirdness tax and is penalized with a permanent misperception of the quantum world. This article is paired with a lively YouTube video that explains the same thing in 18 minutes: “New Schrödinger wave mathematics changes experiments from saying there is, to denying there is quantum weirdness.” That video can be found at the website ElementaryWave.com.
When most people think of physics, they think of what they learned in high school physics: that the world is fundamentally predictable. Given the position and velocity of a particle in space, it should be possible to predict its position at any moment in the future, right? Though this was thought to be true for thousands of years, recent developments in the field of physics have shown that this isn't actually true. Instead of being fundamentally predictable, the universe is fundamentally unpredictable. However, this doesn't seem to make sense. What happened to the centuries of physics developed by Newton, Bernoulli, and Lagrange? Well, as it turns out, they weren't actually wrong. Their equations were actually an approximation of a formula called the wavefunction, which is the "Newton's Laws" equivalent for modern physics. In this paper, we'll take a look at this peculiar wavefunction and why our intuition about the world is completely wrong.