Carlos Castro Perelman - Fibonacci Oscillators (p,q) deformed Lorentz Transformations

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QGR research scientist Carlos Castro Perelman gives a lecture on Fibonacci Oscillators (p,q) deformed Lorentz Transformations - The two-parameter quantum calculus used in the construction of Fibonacci oscillators is briefly reviewed before presenting the (p, q)-deformed Lorentz transformations which leave invariant the Minkowski spacetime interval . Such transformations require the introduction of three different types of exponential functions leading to the (p, q)-analogs of hyperbolic and trigonometric functions. The composition law of two successive Lorentz boosts (rotations) is no longer additive. We finalize with a discussion on quantum groups, noncommutative spacetimes, κ-deformed Poincare algebra and quasi-crystals.

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