The Principle of Conditional Provability: Constraints, Evidence, and Scientific Knowledge

Scientific verification often lags behind theoretical prediction, raising fundamental questions about when and how phenomena become provable. This paper proposes the Principle of Conditional Provability (PCP), which asserts that an event can be verified only when the constraints limiting its detection—both intrinsic (inherent to the event) and extrinsic (technological, methodological, or theoretical)—are sufficiently reduced. Conditional proofs are therefore contextdependent subsets of an idealized absolute proof, and the timing or absence of verification reflects epistemic and practical limitations rather than the non-existence of phenomena. Historical examples, including gravitational waves, exoplanets, the Higgs boson, and Helicobacter pylori, illustrate how constraint accessibility governs the appearance of proof. PCP complements existing frameworks such as Popperian falsifiability, Lakatosian research programs, and Bayesian inference by explicitly linking proof to the interplay of constraints, offering a predictive lens for frontier science. This principle formalizes the contingent and dynamic nature of scientific verification, clarifying methodology, guiding experimental design, and reframing non-detection as a reflection of accessibility rather than absence.