Markov Process at the Velocity of Light: The Klein-Gordon Statistic
نویسندگان
چکیده
The Markovian random walk of a point at the velocity of fight on a two-dimensional invariant space-time lattice is shown to yield the quantum statistic associated with the Klein-Gordon equation. Quantum mechanics thus appem~ as a particular case of Markovian processes in velocity space: and one justifies the introduction of Dirac's invariant "ether" as a possible physical stochastic subquantum level of matter which yields a realistic mechanical basis for recent attempts to reinterpret quantum mechanics in terms of material, causal, random behavior.
منابع مشابه
Soliton-like Solutions of the Complex Non-linear Klein-Gordon Systems in 1 + 1 Dimensions
In this paper, we present soliton-like solutions of the non-linear complex Klein-Gordon systems in 1+1 dimensions. We will use polar representation to introduce three different soliton-like solutions including, complex kinks (anti-kinks), radiative profiles, and localized wave-packets. Complex kinks (anti-kinks) are topological objects with zero electrical charges. Radiative profiles are object...
متن کاملAnalytical solutions for the fractional Klein-Gordon equation
In this paper, we solve a inhomogeneous fractional Klein-Gordon equation by the method of separating variables. We apply the method for three boundary conditions, contain Dirichlet, Neumann, and Robin boundary conditions, and solve some examples to illustrate the effectiveness of the method.
متن کاملNumerical solution of Klein-Gordon equation by using the Adomian's decomposition and variational iterative methods
متن کامل
B-SPLINE COLLOCATION APPROACH FOR SOLUTION OF KLEIN-GORDON EQUATION
We develope a numerical method based on B-spline collocation method to solve linear Klein-Gordon equation. The proposed scheme is unconditionally stable. The results of numerical experiments have been compared with the exact solution to show the efficiency of the method computationally. Easy and economical implementation is the strength of this approach.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 2004