Information channel capacity in the field theory estimation

The construction of the information capacity for the vector position parameter in the Minkowskian space–time is presented. This lays the statistical foundations of the kinematical term of the Lagrangian of the physical action for many field theory models, derived by the extremal physical information method of Frieden and Soffer.

► Information capacity for position parameter in Minkowski space–time is constructed.
► Fisher information statistical foundation to kinematical Lagrangian is discussed.
► Fourier information for modified extremal physical information method is presented.
► Property of the non-negativity of channel information capacity is analyzed.
► Causality property and non-existence of tachion in field theory models are analyzed.