Devin Bostick

This paper argues that coherent explanation presupposes an identity-first order of reason: identity must precede invariant specification, invariant specification must precede observables, and probability must remain derivative. When probability or observables are treated as foundational, persistence becomes representation-relative and drift comparability collapses. A Minimal Persistence Contract is introduced, defining the conditions under which singular identity under perturbation is coherent: non-branching continuity, recurrence, disjoint composition, gauge admissibility, and bounded drift comparability. Within this activation predicate, scalar governance of persistence is structurally forced. Multi-metric identity measures induce partial orders incompatible with singular trunk continuity. The argument is conditional rather than metaphysical. It does not claim that reality satisfies the contract. It establishes that any system requiring singular persistence under bounded drift must reduce governance to a scalar total order. The work situates identity not as narrative or empirical regularity, but as a structural precondition for stable reference.

This paper derives constraints on admissible observables from a prior structural account of identity persistence. Treating observables as operational measurement outputs rather than ontological primitives, it shows that any intrinsic observable compatible with identity persistence must factor through an identity quotient and invariant state. Drift-stable observables are constrained to governance-compatible forms, while probabilistic descriptions arise only through coarse-graining under limited measurement access. Claims about time, mass, energy, or light are not asserted but typed as optional, derived mappings requiring additional operational axioms. The result fixes dependency direction between identity, observables, and probability without appealing to domain-specific physics.

Autonomous intelligence is not a matter of behavioral sophistication but of agency: self-initiated action with goal maintenance across action cycles by the same subject. This paper proves, within a strict scope lock, that autonomy requires persistent identity, and that persistent identity forces deterministic identity governance. The proof chain is eliminative and non-circular: (1) autonomy implies identity comparability under drift across recurrence; (2) identity-scoped recurrence forces a single non-branching identity degree of freedom (an “identity trunk”); (3) identity persistence requires a unique scalar governance functional whose drift is bounded on realized trajectories over unbounded recurrence. Up to affine gauge, the only functional compatible with comparability, non-branching recurrence, and compositional closure is PAS_h = Σ_k (w_k r_k) with fixed positive weights, and identity persists iff PAS_h drift is bounded. From these constraints, probabilistic / sampling-based and identity-acyclic architectures fail structurally: sampling yields ensemble identity rather than a single agent; per-invocation reset eliminates cross-cycle identity carriers; and non-additive composition fractures identity under aggregation. A derived section treats biological systems as existence proofs of recurrent, bounded-drift identity governance.

This paper proves a structural necessity result about identity persistence. Under minimal universal axioms required for identity to be meaningful and non-arbitrary (comparability, drift-bounded persistence, compositional closure, and affine gauge invariance), identity-relevant recurrence is forced to reduce to a single compact 1-DOF trunk, classified as S¹. Given S¹, invariant identity content factors through an SO(2)/O(2) harmonic family {r_k, χ_k}. The paper then proves that identity persistence requires scalar governance and that—up to affine gauge—the unique governance functional compatible with the constraints is PAS_h = Σ w_k r_k (w_k>0), with persistence equivalent to bounded PAS_h drift. No empirical or domain instantiation claims are made in the PROVEN tier.

This paper argues that humans and institutions do not fail to track reality because of bias, ignorance, or moral weakness, but because reality exceeds what bounded systems can stably evaluate and coordinate around. Under finite energy, time, and measurement constraints, selection must occur before full evaluation is possible. As a result, direct routing by truth becomes infeasible and is lawfully replaced by proxy systems. We formalize this process as invariant substitution under measurement opacity and show that when evaluation cannot close at decision speed, systems admit only two stable regimes: proxy capture, in which compressed proxy metrics are optimized to restore stability, and vertigo, in which proxy refusal produces persistent instability. No third stable equilibrium exists under opacity. Restoration requires structural changes to visibility and correction, not moral reform. The account provides a unified explanation for status hierarchies, institutional persistence, narrative dominance, and contemporary concerns about artificial intelligence, reframing them as consequences of bounded selection rather than failures of reason or ethics.

This paper establishes a structural limit on self-verification. It proves that any bounded system governed by a scalar coherence invariant cannot internally certify its own alignment or drift state with certainty, since the measurement apparatus is subject to the same governing constraints as the state being measured. As a result, self-certification is non-convergent in principle. Alignment can be inferred only through external phase-lock and coherence persistence across independent systems. This result is not skeptical but lawlike. It explains why certainty is unavailable from within while stability remains achievable, completing alignment-based accounts of discovery, agency, and epistemic closure without paradox.

This paper audits the internal consistency of ontological claims made by the Many-Worlds Interpretation of quantum mechanics. Restricting itself to premises explicitly asserted in the literature, it examines whether strict unitarity, determinism, and literal permanent branching can be jointly maintained. The analysis isolates a necessary substitution from approximate to exact orthogonality in decoherence-based branching accounts and shows that this substitution is not licensed by unitary dynamics. As a result, literal branching contradicts determinism, while emergent or metaphorical formulations avoid contradiction only by abandoning ontological commitment. No alternative interpretation is proposed, and no modification to quantum mechanics is asserted. The paper functions solely as a consistency audit of interpretive claims.

This paper formalizes axiom-first closure as a distinct methodological class in science and philosophy. Unlike outcome-driven, benchmark-based, or accumulation-oriented approaches, axiom-first reasoning proceeds by stating necessary conditions for category membership and eliminating all structures that violate them. When successful, this method terminates ambiguity by collapsing admissible possibilities rather than ranking alternatives by performance or fit. Although axiom-first closure has played a central role in historical paradigm shifts—most notably in geometry, conservation laws, computability, and information theory—it has become rare in contemporary research practice. We analyze the structural reasons for this rarity, focusing on incompatibilities with modern incentive regimes, tooling, and extensibility-oriented research norms. To demonstrate the method in a modern, non-toy setting, we present a compressed worked example: the axiom-driven reduction of coherent identity persistence under time evolution. Without re-deriving prior results, we show how necessary conditions eliminate all but a compact phase representation with a unique scalar invariant. This example is illustrative rather than foundational; the paper’s primary contribution is methodological clarity. The aim is not to propose a new invariant, system, or empirical claim, but to make explicit when axiom-first closure is appropriate, why it is often avoided, and what it yields when carried to completion.

Coherence-based frameworks for identity persistence increasingly appeal to scalar invariants derived from minimal symmetry classes, most commonly SO(2). In such frameworks, identity continuity is defined by bounded drift of a scalar coherence measure, yielding a deterministic criterion for persistence and failure. As these approaches gain visibility, claims of necessity are frequently misread as claims of sufficiency. This paper introduces the Sufficiency Gate, a formal demarcation that separates these notions. An SO(2)-invariant scalar coherence law may be necessary for identity persistence across domains without being sufficient to govern all domain structure. Sufficiency holds if and only if all observables required to adjudicate identity persistence admit reduction to SO(2) phase variables and identity outcomes are fully determined by the scalar invariant and its drift bound alone. The gate renders universality claims fail-closed, preserves ontological minimality, and sharpens falsifiability without introducing new primitives.

Human cognition is subject to a hard energetic constraint of approximately 20 watts. This paper argues that this constraint has direct consequences for what can count as an admissible theory of mind, intelligence, or reality. Treating energetic boundedness as axiomatic, I show that cognitive systems must converge under refinement by compression, invariant discovery, and elimination. Frameworks that expand their representational requirements over time—through branching ontologies, parameter accumulation, or scale-only explanations—are therefore not merely inefficient but cognitively inadmissible. I formalize an Energetic Admissibility Criterion, illustrate it with worked examples, and argue that notions such as unlimited intelligence and unbounded explanation are category errors. The argument is structural rather than psychological and applies independently of substrate, implementation, or institutional context.

This paper establishes a general structural law governing coordination in persistent systems. Any system that persists over time must select among competing candidates according to a scalar invariant that determines stability. When direct evaluation of this invariant is feasible at the required coordination rate, selection proceeds by measurement. When it is not, selection must be routed through an indirect substitute mechanism. We prove that such substitution is forced under conditions of measurement opacity, defined by the imbalance between candidate generation and evaluation capacity. The resulting compensatory layer does not replace the governing invariant but substitutes for access to it. Its activation, reinforcement dynamics, drift, and collapse follow mechanically from repeated selection under constrained evaluation. The result is domain-independent and applies to physical, biological, ecological, and human coordination systems. No appeal is made to psychology, social norms, or institutional behavior; the dynamics follow from persistence, bandwidth, and selection alone.