A Corpuscular Theory of Quantum Phenomena

Factoring without Quantum Fourier Transform

Quantum Mechanics promises an exponential speed-up of computing. Shor Algorithm famously demonstrates the promise of quantum weirdness. Ironically, the Shor Algorithm also displays the fundamental inconsistencies of Quantum Mechanics. The magical 'Phase Kickback' transfers the unobservable complex eigenvalue of a Modular Exponentiation (ME) operator to qubits of a control registry. An Inverse Fourier Transform and a following measurement collapse the wavefunction of the ME work register, and the control register produces the phase of the non-observable complex ME eigenvalue. The exponential speed-up of phase estimation is implied by the number of computational basis states. For n-qubits, the number of computational…

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Corpuscular Quantum Mechanics

Corpuscular Quantum Mechanics (CQM) is a physical theory of sub-quantum phenomena. It defines the wavefunction and Schrödinger Equation as corpuscular motion's statistical limit. In CQM, superposition and entanglement emerge as consequences of non-equilibrium dynamics of corpuscular interactions among themselves or with an external measurement apparatus. There are no waves to collapse during and after a measurement. In CQM, Corpuscles can move in classically forbidden regions without negative energies. Tunneling becomes a simple instance of corpuscular motion. CQM is a local theory of interacting corpuscles. Its existence refutes the claims of non-locality. It shows that Bell's Theorem, Greenberger-Horne-Zeilinger Contradiction, and the…

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Did Bell or Bohr prove Einstein wrong?

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Einstein did not consider Quantum Mechanics, QM, complete or consistent. In 1949, he stated that "I am, in fact firmly convinced that the essentially statistical character of contemporary quantum theory is solely to be ascribed to the fact that this [theory] operates with an incomplete description of physical systems " [EINSTEIN 1949] In this statement, Einstein emphasized the indeterminism, statistical character, as the objectionable nature of QM. But, it is not the indeterminism that bothered Einstein. Howard [HOWARD 1985a] articulated Einstein's position as two principles. Separability Principle "asserts that any two spatially separated systems posses their own real states" Locality…

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What is wrong with Quantum Mechanics?

Quantum Mechanics does not explain the three most mysterious phenomena. 1) Single Particle Interference. (2) Correlations between particles that are separated by arbitrarily large distances. (3) Presence or tunneling of particles in classically forbidden regions. Quantum Mechanics is inconsistent Quantum Mechanics assumes a collapse of the wavefunction upon a measurement. However, the wavefunction's unitary evolution is inconsistent with the nonlinear collapse. Wavefunction can spread over arbitrarily large distances. However, experiments detect only localized whole particles. An extended wavefunction cannot collapse to a microscopically localized particle instantly. Linear superposition encodes multiple particle states in a single wavefunction. However, experiments detect only…

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