Free your mind.
Why it is hard sci-fi
The films science is the Architects exposition, which lays out a strict rule. The Matrix has been rebuilt six times, and each cycle ends with the Ones return to the Source and the rebuilding of Zion. The system contains its own opposition by design. That model is internally consistent and it is the franchise s one explicit piece of formal modelling.
Science inside it
Equation-driven system modelling, periodic resets as a stability mechanism, and the role of an anomaly variable as the systems self-correcting term. The Architect describes the Matrix in the language of a simulation engineer, and the films rules track that framing.