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Quantum Mechanics Research
October 26, 2012
Published by Bryan at October 26, 2012
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One day I am sure that physics will view Nature as real. Throughout history initial ideas of non-local effects, also called “action-at-a-distance”, have been repudiated and replaced with something more physically reasonable. The most well-known examples are the early attempts to understand gravity and electromagnetism. So it will be with non-locality between entangled particles.
October 11, 2012
Published by Bryan at October 11, 2012
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This complementary nature of states with non-commuting operators, (σX, σY ,σZ), is the basis for the Copenhagen Interpretation of Quantum Mechanics (CI). It states, basically, that if the Z states exist then the X do not, and vice versa. I would rather conclude that it is impossible to determine experimentally if spin has more than one axis of quantization.
July 3, 2012
Published by Bryan at July 3, 2012
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This example nicely shows several things about quantum mechanics. First quantum mechanics is a statistical theory of measurement. You only get the SG results after many spins have been filtered. Second, Heisenberg’s uncertainty relations tell us that you cannot devise an experiment that will measure both the Z and X polarization simultaneously. You can do it for one, but not the other, and vice versa.
June 4, 2012
Published by Bryan at June 4, 2012
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The lectures will be recorded at the Indian Institute of Technology (IIT) Madras which is part of the NPTEL program. A major goal of NPTEL is to raise awareness and improve scientific and technological education throughout India by use of multimedia. I will be giving a series of lectures on basic spin theory for chemistry and physics undergraduate students who have a basis in quantum mechanics; know of spin and its importance; and want to go deeper.
February 17, 2011
Published by Bryan at February 17, 2011
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In this entry I will present the evidence that shows that Bell’s inequalities have no consequences for understanding quantum vs. classical correlations. I will also show that spin is a two dimensional anyon. After a summary, two recent proofs are presented that show BELL’S INEQUALITIES are incorrect due to an over simplistic treatment of spin by Bell. Finally I relate these approaches to my sub-quantum 2D spins which are identified as anyons.
September 4, 2010
Published by Bryan at September 4, 2010
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It is important to be able to use mathematics, which is the logic of the LHS of the brain, to visualize what is going on, using the RHS of the brain. The two must be consistent. Heisenberg said that we observe our natural surroundings and intuitively develop a visualization of what is going on. We do not need a mathematical description macroscopically, unless we need precision, and Classical Mechanics works extremely well.
June 16, 2010
Published by Bryan at June 16, 2010
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A sub-quantum theory is presented which accounts for the EPR correlations with a product state with no entanglement and no nonlocality. In addition the anomalies found in EPR data of Gregor Weihs and as analyzed by Adenier and Khrennikov, are explained by the product states of the bi-particles getting out of sync as they separate. The sub-quantum theory treats the ontic particles that form the ensembles or the quantum states. Whereas quantum states are hermitian, the sub-quantum spin state is fundamentally non-hermitian.
A spin is found to have a two dimensional structure rather than the point particle of quantum mechanics and in the absence of a probe, a spin is in a state of zero angular momentum.
June 14, 2010
Published by Bryan at June 14, 2010
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In which I discuss some of the background of my sub-quantum theory in the context of quantum channels, Bell's theorem and quantum non-locality
March 15, 2010
Published by Bryan at March 15, 2010
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A sub-quantum theory should resolve, or disentangle, the superposition principle into ontic states. That is the statistical ensembles of quantum mechanics is replaced in a sub-quantum theory by individual ontic particles that make up the ensemble.
March 15, 2010
Published by Bryan at March 15, 2010
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Reality is different between the microscopic and macroscopic levels because of Indistinguishability and Resonance. These properties do not exist classically.
March 13, 2010
Published by Bryan at March 13, 2010
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Only the statistical-ensemble interpretations, as discussed in that paper by Ballentine, allows for a sub-quantum theory to complete quantum mechanics with properties that satisfy local realism, causality and determinism. That a suitable sub-quantum theory has not been found is a human failing and nothing more.