Topology

• Computer Science > Networking and Internet Architecture [Submitted on 16 Jul 2025 (v1), last revised 24 Feb 2026 (this version, v2)] Title:FastReChain: A Novel Bidirectional Mode

• Introduces a novel link between Shannon entropy and topological simplices via operad derivations. • Explores how entropy functions satisfy a Leibniz-like rule on simplicial struc

• Introduces function d(x) = -x log x, a derivation reminiscent of Leibniz rule. • d relates to Shannon entropy, but is nonlinear, so H(p) ≠ d(∑ p_i). • Paper shows Shannon entropy