Developing a Mathematical Framework for the Space-Change Continuum (SCC)

 1. Developing a Mathematical Framework for the Space-Change Continuum (SCC) ## Introduction I aim to develop a rigorous mathematical framework for the **Space-Change Continuum (SCC)** model. The goals are: 1. **Define Mathematical Objects**: Clearly specify the mathematical entities (e.g., fields, tensors) that embody change. 2. **Formulate Equations of Motion**: Establish how systems evolve through change, analogous to how time derivatives are used in traditional physics. 3. **Integrate with Physical Laws**: Ensure that the new formulations are compatible with well-established principles and can reproduce known results. **Note**: This framework is exploratory and intended as a starting point for further development. It aims to be mathematically consistent and physically meaningful but may require refinement and validation through collaborative research. --- ## 1. Defining Mathematical Objects That Embody Change ### 1.1 Introducing the Change Parameter \(\chi\) We introduce a scal...