Introduction to Deformed Space

What is/are Deformed Space?

Deformed Space - In this paper we show that the 63Ni radioactivity reduction by ultrasounds is not a violation of the exponential decay law but can be explained by the Deformed Space–Time theory. ^[1] We propose an efficient numerical solution, with controllable error, which first automatically computes an initial value along each cast ray before walking conservatively along a curved ray in the undeformed space according to the signed distance. ^[2] In this article we define the gravitational quantum well model on twist-deformed space with two spatial directions commuting to time-dependent function fκ(t). ^[3] We then show how deforming the symplectic algebra through canonical transformations that are unitary can be used to describe the same physics that in a non-deformed picture requires huge model spaces in far smaller deformed spaces, a simplification that should proportionally reduce the complexity of using the symplectic symmetry in applications. ^[4] Furthermore, to obtain the deformed space-time, the mimic constraint procedure has been used. ^[5] This paper proposes the use of barycentric coordinates in the development and implementation of space-vector pulse-width modulation (SVPWM) methods, especially for inverters with deformed space-vector diagrams. ^[6] We propose conditions on the parameters of deformation on which Poisson brackets for coordinates and momenta of the center-of-mass reproduce relations of deformed algebra, kinetic energy of a body is independent of its composition, and the weak equivalence principle is preserved in the deformed space. ^[7] However, as this paper shows in both a tangible and a formal way, it is also the geometry of deformed spaces. ^[8] Composite system made of N particles is considered in twist-deformed spacetime. ^[9] In a geocentric kinematically rotating ecliptical coordinate system in geodesic motion through the deformed spacetime of the Sun, both the longitude of the ascending node $\Omega$ and the inclination $I$ of an artificial satellite of the spinning Earth are affected by the post-Newtonian gravitoelectric De Sitter and gravitomagnetic Lense-Thirring effects. ^[10] In this paper we study the quantisation of scalar field theory in $$\kappa $$-deformed space-time. ^[11] We first derive Einstein's field equation in $\kappa$-deformed space-time and use this to set up non-commutative version of core-envelope model describing superdense stars. ^[12]