Published December 14, 2025 | Version v1
Preprint Open

Coherence Cells on the Karmonic Mesh: Spectral Foundations for Hyperfluid Distributed Consensus

Description

We present a unified framework combining the Paraxiom Coherence Cell, a triadic epistemic fusion operator, with the Karmonic Mesh, a discrete Hamiltonian system on toroidal topology. The key contribution is a spectral analysis proving that the toroidal mesh structure yields O(log N) consensus time with O(N log N) total messages—an asymptotic improvement over classical Byzantine consensus protocols.

Files

cormier_karmonic_mesh_2025.pdf

Files (497.4 kB)

Name Size Download all
md5:e9d17dad5cfc7536afe4fdd22837ea2f
497.4 kB Preview Download