If EPS constructive axiomatics recovers projective structure from observable coincidences alone, the claim that differential topology is insufficient understates what topology plus causal observables jointly determine.

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Causal observables(as used in physics philosophy and epistemology): Physical measurements or events that can be directly observed and that have cause-and-effect relationships with other events.
Differential topology(as used in mathematics and theoretical physics): The study of shapes and spaces that are smooth and continuous (without sharp breaks), focusing on properties that remain unchanged when you stretch or bend them gently.
EPS constructive axiomatics(as used in mathematical philosophy and physics): A mathematical framework (EPS stands for a specific technical approach) that builds up complex structures from simple, basic rules—like constructing a building from foundational blocks rather than assuming the whole structure exists from the start.
Observable coincidences(as used in physics and philosophy of science): Events or measurements that we can directly perceive or measure that happen at the same place or time—like two particles colliding or two light signals arriving simultaneously.

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