The Event Horizon as a Hyper–Time Crystal: A Topological Model of Temporal Resonance in SQR

This article develops the concept of the event horizon as a hyper–time crystal within the SQR (Scale–Quantized Reality) framework. We present the full conceptual and mathemati-cal formulation, including the topological field T (z, τT , n), the operator Oˆ∞, the algebra GT , the resonance hierarchy ωn = ωP αn, and the nonlinear projection from topological time τT to metric time t. Quantitative predictions for gravitational–wave observations (ET, LISA) are provided, including estimates of modulation amplitudes χn/A and the characteristic “logarith-mic comb” signature in ln t. The hyper–time crystal model yields falsifiable predictions and is strictly distinguishable from GR, LQG, string models, and echo/firewall proposals.