Abstract
Although boundary condition problems in quantum mathematics (QM) are well known, no one ever used boundary conditions technology to abolish quantum weirdness. We employ boundary conditions to build a mathematical game that is fun to learn, and by using it you will discover that quantum weirdness evaporates and vanishes. Our clever game is so designed that you can solve the boundary condition problems for a single point if-and-only-if you also solve the “weirdness” problem for all of quantum mathematics. Our approach differs radically from Dirichlet, Neumann, Robin, or Wolfram Alpha. We define domain Ω in one-dimension, on which a partial differential equation (PDE) is defined. Point α on ∂Ω is the location of a boundary condition game that involves an off-center bi-directional wave solution called Æ, an “elementary wave.” Study of this unusual, complex wave is called the Theory of Elementary Waves (TEW). We are inspired by Kurt Gödel and Alan Turing who built mathematical games that demonstrated that axiomatization of all mathematics was impossible. In our machine quantum weirdness vanishes if understood from the perspective of a single point α, because that pinpoint teaches us that nature is organized differently than we expect.
Highlights
We have reduced the entire weirdness of quantum mathematics (QM) into 25 simple equations, each of which makes sense, and quantum weirdness vanishes, as we are about to demonstrate. 3.4 Definition of Æ We will define an “elementary wave Æ” which is a convenient way to cluster several other variables such as ψL and ψR into a powerful variable Æ that will be the center of our discussions
The biggest accomplishment of this article is to demonstrate that, within the fanciful world of our mathematical games, quantum weirdness can be solved as a mathematical problem
In the first all weirdness was concentrated into one single point named α
Summary
You never heard of a boundary condition that says that “a complex plane wave ψL reflects off particle α at the ∂Ω boundary, and as it reverses direction it becomes a Schrödinger wave named ψR that transports particle α back to the detector, and the detector is the other boundary in this onedimensional domain.”. This sentence is so dissimilar to Dirichlet that one wonders if it should be called a “boundary condition.”. Ours is a new perspective on the boundary conditions governing complex waves interacting with a single free particle in one dimension.
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