A note on the notion of now and time flow in special relativity

TL;DR

This paper explores whether a global concept of now and time flow can be derived from the geometry of Minkowski spacetime in special relativity, addressing apparent conflicts with local notions of time.

Contribution

It proposes that a global notion of now and time flow may be embedded in Minkowski spacetime's geometry, challenging the view that only local time concepts are valid.

Findings

Potential global notion of now identified in Minkowski geometry

Reconciliation of local and global time concepts in relativity

Insights into the structure of spacetime and temporal flow

Abstract

With special relativity, we seem to be facing a conundrum. It is a very well-tested theory; in this way, the Minkowski spacetime must be "capturing" essential features of space and time. However, its geometry seems to be incompatible with any sort of global notion of time. We might only have local notions of now (present moment) and time flow, at best. In this note, we will explore the possibility that a pretty much global notion of now (and time flow) might be hiding in plain sight in the geometry of the Minkowski spacetime.