SDRIS: The Equation of Topological Decay

The Self-Defining Reality Information System (SDRIS) - Ver. 4.0

This repository contains the full derivation and computational proof for the SDRIS framework, an axiomatic approach to cosmology that replaces empirical parameters with geometric constraints.

Key Findings:

• The Equation of Topological Decay: We derive a function $D(N)$ that quantifies the efficiency of projecting a high-dimensional vacuum grid onto lower-dimensional matter topologies.
• Resolution of Dark Matter: For a 2D galactic disk ($N=2$), the projection efficiency is exactly $\pi/4$. Applying this factor to the rotation curve of NGC 6503 yields a fit of $R^2 > 0.99$ without a Dark Matter halo.
• Unified Dark Sector: ''Dark Matter'' is identified as the localized geometric stress of the vacuum, while ''Dark Energy'' is the global, unlocalized pressure of the saturated 19D grid.
• Proton Mass Derivation: By identifying the proton as a topological knot in a coupled 24-dimensional manifold (5D Matter + 19D Vacuum), we derive the Proton-Electron mass ratio with a precision of 3 ppm (parts per million) relative to CODATA standards.

Included Files:

• Maier-Lutz\_SDRIS\_Topological\_Decay\_v4.0.pdf: The full scientific manuscript detailing the mathematical formalism and proofs.
• SDRIS\_Core\_v3.0.py: The Python computational kernel (''The Dimensional Scanner'') that numerically validates the geometric constants and performs the topological efficiency scans.