Dear Einstein Toolkit Community,

I am writing to announce the release of PrimeResonance, a new Thorn developed to explore the intersection of number theory and field resonance within the Cactus framework.

Project Overview:

The PrimeResonance Thorn implements a discrete computational kernel that maps primorial moduli (P4, P5, P6, etc.) to continuous manifold rotations. This work bridges discrete number theory and continuous field physics, demonstrating that specific discrete phase mappings remain bounded and structurally consistent with the Fine Structure Constant ($\alpha^{-1}$) and the Golden Angle.

Repositories:

• Thorn Source Code: https://github.com/timtiminhous/Prime-Resonance-Thorn

  (Contains the CCL definitions and source implementation compatible with the Einstein Toolkit)

• Mathematical Proofs (LEAN4): https://github.com/timtiminhous/ContinuityEngine

  (Contains the formal verification of the bridge theorem and kernel stability)

License:

This work is released under the PolyForm Noncommercial License 1.0. It is free for academic research, education, and non-commercial open source use. Commercial applications require a separate license.

I welcome feedback from the community regarding the integration of this kernel into broader relativistic simulations.

Best regards,

Timothy Edgin

Former Cybersecurity Architect / Independent Researcher