Asymptotic Spectral Resilience of Ramanujan Trade Lattices: Mitigating Retrocausal Feedback Loops in Superluminal Economic Multiplexes via Combinatorial Design

Mathematical Applications of Science Fiction We present a rigorous topological framework for stabilizing superluminal economic multiplexes subject to retrocausal feedback loops arising from tachyonic arbitrage. In markets where transaction latency is negative, standard equilibrium theory fails due to the divergence of the price vector under the influence of future-dependent Hamiltonians. We introduce the concept of Ramanujan Trade Lattices, defined as discrete, regular graph structures constructed from the Cayley graphs of projective general linear groups over finite fields. We prove that if the underlying communication topology of a superluminal economic multiplex satisfies the Ramanujan bound on nontrivial eigenvalues of the adjacency operator, then the spectral gap is sufficient to suppress retrocausal volatility. We further derive the Belacqua Zeta Function for temporal graphs and show that its pole-free region corresponds to the asymptotic stability of the market manifold. This work establishes a necessary and sufficient condition for the existence of bounded economic states in the presence of closed timelike curves.