meditations-on-geometry.net

Meditations On Geometry

Who's afraid of the Unit Quaternion? Quantum Mechanics is a physical theory riddled with problems. At the core of these problems is the fact that the Quantum theory has not recognised that the qubit is a quaternion. Rather the qubit is thought of as a 2-level Quantum system, and the remaining degrees of freedom are ignored - giving rise to the probabilistic interpretation and indeterminism. Parallel Transport and the Geometric Phase. Vectors, Spinors and Galilean Frames. The Law of the Spinor. Curious ab...

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Meditations On Geometry | meditations-on-geometry.net Reviews

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Who's afraid of the Unit Quaternion? Quantum Mechanics is a physical theory riddled with problems. At the core of these problems is the fact that the Quantum theory has not recognised that the qubit is a quaternion. Rather the qubit is thought of as a 2-level Quantum system, and the remaining degrees of freedom are ignored - giving rise to the probabilistic interpretation and indeterminism. Parallel Transport and the Geometric Phase. Vectors, Spinors and Galilean Frames. The Law of the Spinor. Curious ab...

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Meditations On Geometry | meditations-on-geometry.net Reviews

https://meditations-on-geometry.net

Who's afraid of the Unit Quaternion? Quantum Mechanics is a physical theory riddled with problems. At the core of these problems is the fact that the Quantum theory has not recognised that the qubit is a quaternion. Rather the qubit is thought of as a 2-level Quantum system, and the remaining degrees of freedom are ignored - giving rise to the probabilistic interpretation and indeterminism. Parallel Transport and the Geometric Phase. Vectors, Spinors and Galilean Frames. The Law of the Spinor. Curious ab...

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meditations-on-geometry.net

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Video — Meditations On Geometry

http://www.meditations-on-geometry.net/videos

Parallel Transport and the Geometric Phase. An animated derivation of the geometric phase of the spinor (i.e. the qubit/quaternion). It is shown how to derive the geometric phase of the spinor by solving the equation of parallel transport for a tangent vector moving along a path on the surface of the Bloch sphere.

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Articles — Meditations On Geometry

http://www.meditations-on-geometry.net/articles

Who's afraid of the Unit Quaternion? November 2016) - [download pdf]. Far from being just a 2-level Quantum system the Qubit is a Unit Quaternion, also known as a Spinor. Hence the t-parameterized Qubit is a 4-dimensional vector which traces a path on the surface of the unit 3-sphere. This is the meaning of the global phase. Vectors, Spinors and Galilean Frames. December 2015) - [download pdf]. Parallel Transport, Quaternions and the Bloch Sphere. August 2015) - [download pdf]. July 2014) - [download pdf].

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About — Meditations On Geometry

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Is a collection of research articles and related material whose central theme is the study of Mathematics and Geometry. The current issue - Volume 01. Is a series of articles investigating the parameter space of the Unit Quaternion. Through the lens of the Quaternion it is possible to understand the multidimensional nature of reality, as the 3 spatial dimensions that we know very well are in fact rooted in 4 spatial dimensions. Arithmetic, geometry and other subjects of this kind, which deal only with th...

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Meditations — Meditations On Geometry

http://www.meditations-on-geometry.net/meditations

The Hopf-Fibration and Hidden Variables in Quantum and Classical Mechanics. June 2016) - [download pdf].

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challengingbell.blogspot.com

Challenging Bell: The Hopf-Fibration and HiddenVariables in Quantum and ClassicalMechanics

http://challengingbell.blogspot.com/2016/11/the-hopf-fibration-and-hiddenvariables.html

If by any chance Bell is wrong about his derivation of the inequalities for EPR-Bohm type experiments it should be demonstrable using a computer simulation. This blog is an attempt to discuss the possibilities and provide easy access to such local realistic models. Sunday, 20 November 2016. The Hopf-Fibration and HiddenVariables in Quantum and ClassicalMechanics. He also proposes an experiment to verify whether his theory is correct, using 3 Stern-Gerlach apparatus in series. As written before his ideas ...

challengingbell.blogspot.com

Challenging Bell: November 2016

http://challengingbell.blogspot.com/2016_11_01_archive.html

If by any chance Bell is wrong about his derivation of the inequalities for EPR-Bohm type experiments it should be demonstrable using a computer simulation. This blog is an attempt to discuss the possibilities and provide easy access to such local realistic models. Sunday, 20 November 2016. The Hopf-Fibration and HiddenVariables in Quantum and ClassicalMechanics. He also proposes an experiment to verify whether his theory is correct, using 3 Stern-Gerlach apparatus in series. As written before his ideas ...

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Who's afraid of the Unit Quaternion? Quantum Mechanics is a physical theory riddled with problems. At the core of these problems is the fact that the Quantum theory has not recognised that the qubit is a quaternion. Rather the qubit is thought of as a 2-level Quantum system, and the remaining degrees of freedom are ignored - giving rise to the probabilistic interpretation and indeterminism. Parallel Transport and the Geometric Phase. Vectors, Spinors and Galilean Frames. The Law of the Spinor. Curious ab...

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