Relativistic quantum physics with hyperbolic numbers

Relativistic quantum physics with hyperbolic numbers

A representation of the quadratic Dirac equation and the Maxwell equations in terms of the three-dimensional universal complex Clifford algebra C̄3,0 is given. The investigation considers a subset of the full algebra, which is isomorphic to the Baylis algebra. The approach is based on the two Casimir operators of the Poincaré group, the mass operator and the spin operator, which is related to th...

Quantum theory of computation and relativistic physics

In the paper are described some steps for merger between relativistic quantum theory and theory of computation. The first step is consideration of transformation of qubit state due to rotation of coordinate system. The Lorentz transformation is considered after that. The some new properties of this transformation change usual model of qubit. The system of qbit seems more fundamental relativisti...

Random Numbers Generation using Quantum Physics

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Quantum Physics: A Case for Anti-Realism?

Counterfactual errors and state reduction in relativistic quantum physics

We use the laws of relativistic physics to show that classically motivated counterfactual statements are inadequate when discussing the principles of quantum physics and that EPR style arguments against state reduction are incorrect. In classical logic, counterfactual statements are statements of the form: “if P were true (which is in fact known not to be the case) then Q would be true”. Such s...