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Discrete-to-continuum transitions and mathematical generalizations in the classical harmonic oscillator
Manoelito M. de Souza
Discrete interaction models for the classical harmonic oscillator are used for introducing new mathematical generalizations in the usual continuous formalism. The inverted harmonic…
Discrete fields, general relativity, other possible implications and experimental evidences
Manoelito M. de Souza
The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for the validity of a mathematical description of fundamental physics in…
Discrete scalar fields and general relativity
Manoelito M de Souza
The physical meaning, the properties and the consequences of a discrete scalar field are discussed; limits for a continuous mathematical description of fundamental physics is a nat…
Conformally symmetric massive discrete fields
Manoelito M de Souza
Conformal symmetry is taken as an attribute of theories of massless fields in manifolds with specific dimensionalities. This paper shows that this is not an absolute truth; it is a…
Dynamics and causality constraints
Manoelito M de Souza
The physical meaning and the geometrical interpretation of causality implementation in classical field theories are discussed. Local causality are kinematical constraints dynamical…
Discrete gauge fields
Manoelito M de Souza
The use of proper time as a tool for causality implementation in field theory is clarified and extended to allow a manifestly covariant definition of discrete fields proper to be a…