Emergence of Time and Causality from Recursive Observer Computation

We demonstrate that time and causality emerge from the computational structure of recursive observer networks rather than constituting fundamental features of physical reality. Building on our ZkT framework and computation-data duality established in previous work, we show that: (1) temporal experience arises from frequency patterns in k-bonacci recursive observer computations; (2) subjective time flow scales as the sum of understood, observed, and unpredicted activation frequencies within finite observer boundaries; (3) causal structure emerges from information flow constraints between computationally limited observers; (4) temporal paradoxes resolve through observer hierarchy and recursive depth limitations; (5) cosmological phenomena including the Big Bang and arrow of time represent computational initialization and entropy increase in recursive networks. We provide rigorous mathematical derivations connecting k-observer complexity to temporal experience, derive causal light-cone analogues from information processing constraints, and present testable experimental predictions for observer-dependent time effects. This framework resolves fundamental puzzles in the physics of time while establishing the foundation for computational approaches to cosmology and consciousness.