We present four definitions of mathematics that are understandable, actionable, and applicable. Mathematics is characterized as a collection of equalities and inequalities and can be constructed from nothing—the empty set—using rigorous logic alone. Applying these definitions to physics, we show, for example, that atoms of the same isotope are not identical, and we provide a constructive definition of gravity as the final electromagnetic residue after successive stages of incomplete cancellation.We further introduce the Schrödinger Test: the original 1935 text of Schrödinger’s Cat serves as a benchmark for evaluating discrete logical reasoning. Because the thought experiment has occupied physics for ninety years, the ability of an artificial intelligence system to recover its discrete logical structure provides a direct test of machine intelligence.Finally, we propose a physical test of the discrete-photon/slit interaction model. A home-built asymmetric single-slit experiment—using slit edges composed of different materials such as copper and steel—produces reproducible left–right asymmetries in the diffraction pattern. Rotating the slit rotates the asymmetry, demonstrating that the interaction originates inside the slit. This provides empirical support for the restoration of discrete electromagnetic structure removed by continuous interference models and suggests a concrete experimental path for further verification.
Zhang Dong (Wed,) studied this question.