Noncommutative Geometry, Negative Probabilities and Cantorian-fractal Spacetime
نویسنده
چکیده
A straightforward explanation of the Young’s two-slit experiment of a quantum particle is obtained within the framework of the Noncommutative Geometric associated with El Naschie’s Cantorian-Fractal transfinite Spacetime continuum.
منابع مشابه
Why we live in 3 + 1 dimensions
In the same fashion that Einstein’s General Relativity required Riemannian Geometry for its foundations, the New Relativity Theory requires a Cantorian-Fractal Spacetime, which is an example of Von Neumann’s Noncommutative Geometry. Starting from first principles, an ensemble distribution for all the infinite dimensions of quantum spacetime is derived that requires Fermat’s last theorem. An exp...
متن کامل15 2 v 3 6 J un 2 00 0 Why We Live In 3 Dimensions
A Cantorian fractal spacetime, a family member of von Neumann's noncommutative geometry is introduced as a geometry underlying a new relativity theory which is similar to the relation between general relativity and Riemannian geometry. Based on this model and the new relativity theory an ensemble distribution of all the dimensions of quantum space-time is derived with the help of Fermat last th...
متن کاملQuantum Entanglement as a Consequence of a Cantorian Micro Spacetime Geometry
Building upon the pioneering work of J. Bell [1] and an incredible result due to L. Hardy [2] it was shown that the probability of quantum entanglement of two particles is a maximum of 9.0169945 percent [2]. This happens to be exactly the golden mean to the power of five (φ) [3-7]. Although it has gone largely unnoticed for a long time, this result was essentially established independently in...
متن کاملDimensional symmetry breaking, information and fractal gravity in Cantorian space.
We derive the exact expectation value and standard deviation for the dimensionality of Cantorian spacetime. Connections to time symmetry breaking, information and the generalization of complex numbers are considered. Finally a link between general relativity and Cantorian spacetime is proposed which amounts to the claim that fractalization is the origin of gravity.
متن کاملComments on the Riemann conjecture and index theory on Cantorian fractal space-time
An heuristic proof of the Riemman conjecture is proposed. It is based on the old idea of Polya-Hilbert. A discrete/fractal derivative self adjoint operator whose spectrum may contain the nontrivial zeroes of the zeta function is presented. To substantiate this heuristic proposal we show using generalized index-theory arguments, corresponding to the (fractal) spectral dimensions of fractal brane...
متن کامل