DF Seminar

[Rosita Glavina]

  Department of Physics - University of Trieste

Thursday 23rd May 2013 - 2:30 pm
Room 204 (2nd floor LB)

prof. Tejinder P. SINGH
(TIFR, Mumbai, India)

Title: Scale Relativity and Quantum Theory

Abstract: *
*Scale Relativity is a theory developed by the French physicist Laurent 
Nottale, where the length of a curve is 'relative': it depends on the 
scale that is used to measure the length. From a mathematical point of 
view, this amounts to giving up the hypothesis of space-(time) 
differentiability, and results in a fractal nature of space-(time). An 
explicit dependence of physical quantities on scale variables is 
introduced. The fractal structure suggests the construction of a 
two-valued derivative -- a doubling that can be naturally understood in 
terms of complex variables. Furthermore, positional displacement can be 
written as the sum of a 'classical' part and a stochastic part, where 
the latter could in particular be assumed to be Brownian in nature. A 
complex covariant time derivative operator is now constructed, and if 
evolution of a complex classical dynamics is defined using this time, 
one recovers the Schrodinger equation, where the wave-function is 
defined in terms the complex classical action.