منابع مشابه
Fractal Quantum Space -Time
In this paper we calculated the spectral dimension of loop quantum gravity (LQG) using the scaling property of the area operator spectrum on spin-network states and using the scaling property of the volume and length operators on Gaussian states. We obtained that the spectral dimension of the spatial section runs from 1.5 to 3, and under particular assumptions from 2 to 3 across a 1.5 phase whe...
متن کاملScale Relativity and Fractal Space-Time: Applications to Quantum Physics, Cosmology and Chaotic Systems
The theory of scale relativity is a new approach to the problem of the origin of fundamental scales and of scaling laws in physics, that consists of generalizing Einstein’s principle of relativity (up to now applied to motion laws) to scale transformations. Namely, we redefine space-time resolutions as characterizing the state of scale of the reference system, and require that the equations of ...
متن کاملEstimating the Fractal Dimension of Chaotic Time Series
Fractals arise from a variety of sources: they have been observed in nature and on computer screens. An intriguing characteristic offractals is that they can be described by noninteger dimensions. The geometry of fractals and the mathematics of fractal dimension provide useful tools for a variety of scientific disciplines-in particular, the study of chaos. A chaotic dynamical system exhibits tr...
متن کاملQuantum Superstrings and Quantized Fractal Space Time
Though Quantum SuperString Theory has shown promise, there are some puzzling features like the extra dimensions, which are curled up in the Kaluza-Klein sense. On the other hand a recent formulation of what may be called Quantized Fractal Space Time leads to a surprising interface with QSS we deal with the Planck length, the same number of extra dimensions and an identical non-commutative geome...
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The space time that is used in relativistic Quantum Mechanics and Quantum Field Theory is the Minkowski space time. Yet, as pointed out by several scholars this classical space time is incompatible with the Heisenberg Uncertainity Principle: We cannot go down to arbitrarily small space time intervals, let alone space time points. Infact this classical space time is at best an approximation, and...
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ژورنال
عنوان ژورنال: Journal of Taibah University for Science
سال: 2014
ISSN: 1658-3655
DOI: 10.1016/j.jtusci.2013.09.005