Channel: Quantum Gravity Research

Category: Science & Technology

Tags: fibonaccimathematicshyperbolicscientistmathsquantumalgebracalculusgolden meanresearchquasicrystalphysicsqgrnoncommunicativecarlos castro perelmantrigonometricspacetimeklee irwinoscillatorfibonacci chainminkowskitrigonometryquantum gravity researchmathematicianquantum gravityquantum algebraphysicistquantum calculusirwin kleelorentz transformationspoincaregravityquantum groupssciencemathcarlos perelmanlorentz

Description: 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.