The Fixed-Now Model of a Growing Worldline

This paper presents a mathematical and ontological framework for representing temporal becoming within relativistic physics. The proposed Fixed-Now Model of a Growing Worldline (FNGW) reformulates the relation between time, existence, and worldlines. Rather than interpreting time as a moving present or a static block, the model defines the worldline as an expanding entity that grows backward into the past from a fixed Now. The present is treated as a fixed boundary, while the realized past expands as proper time accumulates. Each tick of a local clock corresponds to an incremental extension of the realized past. The model reconciles the geometry of relativity with the experience of temporal passage, providing a precise mathematical basis for a becoming ontology compatible with Special Relativity (SR). This framework could serve as a bridge between the geometry of relativity and the discrete event structure of quantum measurement.