# The Abrams Event Address: Mathematical Formalization of 4D Spacetime Indexing

> **Canonical URL**: https://newjosh.com/ideas/aea-specification  
> **Author**: Joshua M. Abrams  
> **Category**: Spacetime & Physics | **Published**: February 2025  
> **Related Manifest**: https://newjosh.com/llms.txt  

## Abstract
Modern coordinate systems treat space and time as independent computational primitives. This structural separation induces cumulative rounding divergence in relativistic distributed systems and high-velocity telemetry networks. The Abrams Event Address (AEA) unifies WGS 84 geodesy, ellipsoidal altitude, and UTC microsecond temporal markers into a contiguous, space-filling Hilbert curve.

## Mathematical Formulation
An event in four-dimensional Minkowski spacetime is defined along the invariant metric interval:
$$ds^2 = g_{\mu\nu} dx^\mu dx^\nu = -c^2 d\tau^2$$
Where:
- $\tau$ represents proper time experienced along the worldline.
- $g_{\mu\nu}$ is the metric tensor accounting for local gravitational potential and velocity.
- The spatial coordinates $(x, y, z)$ are mapped into a 64-bit compact Hilbert index preserving spatial locality.
- The temporal epoch is encoded as a 48-bit microsecond counter from the UNIX epoch.
- State integrity is sealed with a 16-bit CRC or cryptographic hash, producing the canonical 128-bit compact token or 136-byte packed C-ABI wire frame.