White Noise as Pre-Recursive Signal: Testing the Davis Attractor in Unconstrained Systems

The Fibonacci Causal Loop Theory (FCLT) predicts that constrained systems converge toward phi-structured configurations via Binet necessity recursion. This paper asks the inverse question: what is the state of a system before constraint is applied? We hypothesize that white noise — traditionally characterized as maximally random, uncorrelated signal — is not the absence of structure but rather pre-recursive signal: the state of a system at S(0), before the necessity ladder begins. Under progressive constraint (coarse-graining), we predict that power ratios in white noise will show directional drift toward phi. We test this hypothesis using synthetic white noise, a phi-structured control signal, and publicly…