Numbers generated by a pseudo-random process will eventually repeat, which is how PR processes can be differentiated from a truly "random" process. Some chaotic processes follow closed trajectories in state space; i.e., their attractors are periodic, so number sequences generated by those processes repeat. However, some chaotic processes have "strange attractors," with trajectories in state space that are fractals and never repeat. So my questions are: 1. Suppose a series of numbers is generated by a deterministic chaotic process having a strange attractor. Can that series of numbers, which is deterministic but never never repeats, be differentiated from a series of numbers that is generated by a "random" process? 2. If a chaotic process cannot be differentiated from a "random" process, do random processes even exist, or are they all fundamentally deterministic, albeit unpredictable? In other words, is radioactive decay actually "programmed into" an atomic nucleus, even though the time of decay is apparently random and cannot be predicted analytically? 3. Is it possible to design a computer algorithm that simulates a chaotic process having a strange attractor (never repeats)? Computers are used to generate fractals, so this might be possible. 4. If it is possible to design such a computer algorithm, could the overall process be defined by a quantum wave function?