Quantum Mathematics Findings

2012 ◽  
Author(s):  
Dr. Manahel A.R. Thabet
Keyword(s):  
Quantum Mathematics

scholarly journals PDE boundary conditions that eliminate quantum weirdness: a mathematical game inspired by Kurt Gödel and Alan Turing

2021 ◽  
Vol 20 ◽  
pp. 211-239
Author(s):  
Jeffrey Boyd
Keyword(s):  
Boundary Condition ◽  
Boundary Conditions ◽  
Single Point ◽  
Alan Turing ◽  
Elementary Wave ◽  
Kurt Gödel ◽  
Mathematical Game ◽  
Directional Wave ◽  
Elementary Waves ◽  
Quantum Mathematics

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.

scholarly journals The Quantum World Is Astonishingly Similar to Our World: The Timing of Wave Function Collapse According to The Theory of Elementary Waves

2018 ◽  
Vol 14 (2) ◽  
pp. 5598-5610
Author(s):  
Jeffrey Boyd
Keyword(s):  
Wave Function ◽  
World War I ◽  
World War ◽  
Wave Function Collapse ◽  
Von Neumann ◽  
Rosetta Stone ◽  
The World ◽  
Elementary Waves ◽  
Quantum Equations ◽  
Quantum Mathematics

This is one of a series of articles building a map of elementary waves, based on experimental data and quantum mathematics. Previous articles showed that elementary waves carry no energy. Particles follow them backwards. Why? Elementary rays consist of probability amplitudes, which influence particles because that is what probability amplitudes do. Elementary waves are that part of nature corresponding to quantum mathematics. Since these waves are the physical analogs of quantum equations, those equations provide a roadmap to the world of elementary waves: a map written in hieroglyphs. Quantum math is our Rosetta stone. The quantum world is far, far more similar to the world of everyday experience than quantum experts think. Waves are in a superposition. Particles are not. Wave function collapse does not occur when we measure something. It had occurred much earlier, when the object came into existence. This resolves insoluble problems that stumped John von Neumann. The smooth functioning of a Schrödinger equation abruptly collapses into one specific eigenstate when a gun is fired, not when the bullet hits the target. The bullet that caused World War I is an example. That bullet caused an abrupt collapse of the smooth probabilities of commerce and diplomacy.

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