Evolution profiles and functional equations

TL;DR

This paper introduces a novel approach to modeling time evolution using Schroeder's functional equation, enabling smooth, continuous dynamics without relying on local propagation equations.

Contribution

It presents a new method for time evolution based on Schroeder's functional equation, avoiding the need for local propagation equations.

Findings

Provides a continuous dynamics framework

Eliminates need for local propagation equations

Demonstrates smooth evolution modeling

Abstract

Time evolution is formulated and discussed in the framework of Schroeder's functional equation. The proposed method yields smooth, continuous dynamics without the prior need for local propagation equations.