Reality isn't a simulation because QM is non-deterministic.
The non-determinism and measurement fidelity of QM also means reality is classically non-deterministic, as in chaotic systems which cannot be predicted beyond short horizons because measurement precision in initial conditions forbids it.
Algorithmic/computational models of reality are therefore false ("aproximations") rather than the converse. All computations are functions from N to N -- and randomness in the QM sense isn't a function.
Ie., a QM/Classical-Chaotic system is a "function" from state-space X to measurement space Y such that for some X there is no determinate Y. This isn't a function; and hence not computable.
The non-determinism and measurement fidelity of QM also means reality is classically non-deterministic, as in chaotic systems which cannot be predicted beyond short horizons because measurement precision in initial conditions forbids it.
Algorithmic/computational models of reality are therefore false ("aproximations") rather than the converse. All computations are functions from N to N -- and randomness in the QM sense isn't a function.
Ie., a QM/Classical-Chaotic system is a "function" from state-space X to measurement space Y such that for some X there is no determinate Y. This isn't a function; and hence not computable.