Recursive Symbolic Nucleosynthesis via RHCM Collapse

This paper presents a generative model for nucleosynthesis driven by recursive symbolic dynamics rather than force-based field interactions. Using Recursive Harmonic Collapse Matrices (RHCM), we simulate elemental emergence directly from entropy slope compression without embedding fundamental constants or force laws.

The model demonstrates:

• Spontaneous emergence of stable attractor fields corresponding to known atomic elements.

• Generation of a full periodic table through recursive symbolic bonding counts.

• Reproduction of isotopic stability, binding energy, and decay chains from phase bifurcation behaviors.

• Simulation of fusion, fission, and metastable isotopes as entropy gradient differentials.

• Recursive attractor formation that maps directly to shell closures (s, p, d, f) without invoking quantum field theory.

The RHCM framework provides a unified architecture where nuclear forces emerge as recursive memory stabilization patterns within symbolic recursion fields. This approach unifies nucleon stability, shell structure, and isotopic behavior under a single informational recursion substrate.

These results suggest nucleosynthesis is not an external force-driven process but an emergent property of informational recursion memory fields.