ON THE ORIGIN AND THE END OF FORGERIES: Transmission as Their Cause, Four Exits as Their Fate, and Why Forgeries of Kind Diverge While Forgeries of Property Converge

A cuckoo’s egg in a reed warbler’s nest is a forgery of the warbler’s own egg, and the contest between the two species has produced cuckoo lineages each matched to a different host. Two defended butterflies in the Amazon wear one warning pattern, and dozens of species have converged on it. A painting sold as a Vermeer was exposed as the work of a twentieth-century forger. A usurping family became, in time, its nation’s lawful princes. The first case is a race that never ends, the second an agreement, the third a detection and the fourth a legitimation. This article asks why forgeries end so differently. Two earlier results supply half an answer each. The Price of Transmissible Form (#111) explained where forgeries come from: any form that can be copied, and does not carry its origin legibly, can be produced by a second origin. How a Forgery Ends (#116) explained where they go: a forgery whose form survives ends by detection, absorption, fulfilment or re-attribution. It also showed that the tense of the claim a form makes decides which of these exits are open. This article joins the two results, corrects the first, and derives what neither states alone. · T1, the Legibility Link. The quantity that makes a forgery possible is the quantity whose recovery ends it by detection. A form can be forged only where its origin is illegible, and a forgery can be detected only where its origin can be read again, which happens through the errors of its production. So the fidelity that lets a forgery arise is also what shields it from detection. · T2, the Divergence–Convergence Theorem. Where a forgery claims a kind or a history, fulfilment and absorption are closed. The contest between forger and verifier can then end only by detection, so it persists, and forger lineages diverge according to the verifier each faces. Where a forgery claims a property, fulfilment is open. The contest can end in agreement, and forms converge. Forgeries of kind make races and, where mating follows the verifier, species. Forgeries of property make conventions. · C1 restricts #111’s claim that forgery generates lineages to forgeries of kind. · C2 extends the result to institutions. Verification professions concentrate on historical claims, because only there can the contest never end. Tests of property settle only where they reach the property itself; a test that inspects a proxy reopens the spiral. · C3, the Mosaic Corollary. The claim is made trait by trait, not organism by organism. A single forger can diverge on the channel that claims its kind and converge on the channel that claims a property. The biological evidence is mixed, and the theorem is stated at the strength it supports. Brood parasitism is associated with elevated speciation in cuckoos (Krüger et al. 2009), and host-specific mimicry has driven speciation in bronze-cuckoos (Langmore et al. 2024). A comparative study across brood parasites found accelerated divergence of form but little consistent effect on speciation (Medina and Langmore 2015). T2 therefore predicts divergence of form, and speciation only where mating follows the verifier. The Competence Boundary Gate fires for the biological applications (§§5–6, E1–E2), which are offered as speculative extensions pending specialist review. T1 and the logical core of T2 are derivations and do not depend on them. Keywords: forgery; transmission; mimicry; Müllerian mimicry; brood parasitism; coevolution; arms race; speciation; convergence; legitimacy; authenticity; neutral theory; Philosophy of Virtues Highlights · Forgery has a life cycle: it originates where a copied form does not show its origin, and ends in one of four ways. · The same quantity governs birth and detection: illegible origin makes forgery possible, and recovered legibility ends it (T1). · Where a forgery claims a kind or a history, only detection can end it, so the contest persists and forgers diverge (T2). · Where a forgery claims a property, the forger can come to have it, the contest can end in agreement, and forms converge (T2). · Cuckoo host-races and Müllerian mimicry rings are the two branches of one result. · An open exit is not a taken one: fulfilment happens only where the property costs the forger less than discrimination does, and only where the verifier inspects the property rather than a proxy. · The claim is made trait by trait, so one organism can diverge in scent while converging in colour (C3). · Two corrections to #111: persistence can come from drift rather than payment, and forgery generates lineages only for claims of kind. Relevance Evolutionary biology has two well-studied outcomes of deception and has not placed them in one account. Some deceptive systems escalate without end and split into host-specific lineages. Others settle into shared warning forms that honest and formerly dishonest species alike carry. The literature explains each in its own terms: coevolutionary arms races in the first case, Müller’s frequency-dependent mutualism in the second. This article states a single criterion that predicts which outcome a deceptive system will reach: the tense of the claim its form makes. The criterion is fixed before the data by a classification rule stated in advance, to be deposited before any test is run. The same criterion explains a pattern in human institutions: the professions of authentication gather around claims about the past, while claims about competence and status settle into standards wherever the test reaches the property itself. That makes it a claim about where verification effort goes in any society that copies forms.