ItoE Threshold Constraints: Structural Minima in Fundamental Physics

Abstract The Intention-to-Exist (ItoE) excludes null-equivalent configurations from the space of admissible states. This paper shows that this exclusion generates a family of threshold constraints on fundamental physical parameters. ItoE is a minimal exclusion principle: it forbids what cannot persist and nothing more. Because it imposes no positive preference beyond the boundary of admissibility, the resulting constraints are weakest-sufficient conditions, and observable values cluster near the thresholds thus established. Three types of ItoE constraint are identified: quantitative thresholds, where observed values cluster near calculable structural minima (the cosmological constant Λ, the baryon asymmetry η); binary thresholds, where a non-zero or finite value is required but the specific magnitude is unconstrained (the CP-violating phase δ, the speed of light c); and extremal constraints, where ItoE drives values toward the boundary of the admissible range (initial entropy S_initial). Unlike anthropic reasoning, which selects for observers within a multiverse, ItoE threshold constraints operate within a single universe through structural admissibility alone. Unlike fine-tuning arguments, which note coincidences without explaining them, the threshold framework derives why values must cluster near structural boundaries. Explicit falsification conditions are stated for each claim, and the remaining gap between threshold logic and fully a priori quantitative derivation is identified as the programme's central open problem. Thesis The Intention-to-Exist (ItoE) excludes null-equivalent configurations. This exclusion does not select specific values for fundamental constants but establishes threshold constraints — minima below which existence collapses into operational nullity. Because ItoE is an exclusion principle rather than an optimisation principle — it "introduces no content, selects no end-state, and ranks no outcomes" (Lemma L2) — it generates the weakest sufficient conditions for persistence. Observable values cluster near these thresholds not because some mechanism pushes them there, but because ItoE provides no structural pressure to exceed the minimum required for admissibility. This paper identifies a class of ItoE-derived thresholds and derives, where possible, quantitative predictions for the cosmological constant (Λ), CP violation magnitude, the speed of light as invariant limit (c), and initial entropy conditions.