HorizonFalsifier
plain-language theorem explainer
The HorizonFalsifier structure encodes the three conditions that would falsify the Recognition Science account of cosmic homogeneity via universal 8-tick synchronization. A cosmologist testing RS against standard inflation would cite it when checking whether CMB anomalies admit conventional accounts, inflationary parameters lack phi-structure, or the horizon problem reduces to local physics alone. It is introduced as a direct structure definition whose final field asserts that the conjunction of the three propositions yields a contradiction.
Claim. Let $A$ be the proposition that CMB anomalies admit mundane explanations, $B$ the proposition that inflationary parameters contain no $phi$-structure, and $C$ the proposition that the horizon problem admits a purely local solution. HorizonFalsifier is the structure whose fields assert $A$, $B$, $C$, and the implication $A land B land C to bot$.
background
The module COS-004 treats the horizon problem: the CMB is uniform to one part in $10^5$, yet in standard Big Bang cosmology distant regions were never in causal contact. Standard inflation resolves this by exponential expansion of a small causally connected patch. Recognition Science supplies a complementary mechanism through the universal 8-tick clock, which is the same everywhere in the ledger and therefore supplies intrinsic synchronization without light-speed signals; homogeneity then follows as a consistency requirement on the ledger.
proof idea
Direct structure definition. The four fields are introduced explicitly with no lemmas or tactics applied.
why it matters
The definition belongs to the COS-004 module on the horizon problem and 8-tick synchronization. It formalizes the falsifiability criteria for the RS explanation that relies on the universal clock (T7 eight-tick octave) to enforce homogeneity as a ledger consistency condition. No downstream theorems are recorded, so the structure remains available for later instantiation inside a larger consistency argument for the forcing chain.
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