Robert Daniel Kitcey
Executive summary A radiating black hole becomes lighter. The energy carried by Hawking radiation is therefore charged to the black hole rather than supplied by empty space. Yet an emitted particle need not be treated as a constituent object that climbed outward through the event horizon. Quantum fields already provide exterior modes, while the black hole’s mass, angular momentum, charge, and causal structure are represented in the gravitational state accessible outside the horizon. This paper develops vacuum-mediated sourcehood transduction as a conservation-preserving account of that conversion. The vacuum supplies the quantum-capable mode and correlation structure through which a black-hole organization of mass-energy is progressively re-instantiated as exterior radiation. Every emission must simultaneously create a definite radiative record, reduce the daughter black hole by the matching conserved quantities, update the geometry, and preserve the information carried by the complete state. The paper is a standalone cross-disciplinary development of the technical parent construction: Kitcey, R. D. (2026). Vacuum-Mediated Sourcehood Transduction in Black-Hole Evaporation (Version 0.2.0). Zenodo. https://doi.org/10.5281/zenodo.22163783 Complete-state mechanics The black-hole specialization of the Kit-State Lifecycle uses the complete state 𝔄ₜ = (ρₜ, Dₜ, Cₜ, Rₜ, ωₜ, Ξₜ). Its constituents have distinct physical roles: ρₜ is the joint quantum state of the black hole, near-zone fields, radiation, environment, and relevant controls. Dₜ is the dynamically selected radiative sectorization: the stable, distinguishable outgoing alternatives selected by the interaction and environment. Cₜ is the single operative channel at time t: the emission alternative that has entered the actual radiation history. Rₜ is the ordered event record, including emitted modes, detector records, temporal order, and the matched black-hole charge and geometry updates. ωₜ is the reversible selector state that converts integrated transition hazards into one event time and one operative channel while retaining residual data required for inversion and composition. Ξₜ is the conservation, correlation, composition, and inversion ledger carried across successive events. Joint projectors pair every outgoing record with the corresponding daughter-black-hole sector. An emission labeled a is therefore not merely “a particle outside”; it is a correlated joint alternative containing the emitted mode and the black hole with the exactly matching reduced mass, angular momentum, charge, and geometry. The black-hole bridge Hamiltonian Hᴮᴴ generates antisymmetric probability currents J(a,b) among the radiative sectors. Their positive parts define minimal transition rates: λ(a←b) = max[J(a,b), 0] / p(b). These rates preserve Born equivariance: an ensemble initially distributed according to the Born weights remains Born distributed under the current-generated transition process. The equation supplies a concrete selection dynamics while preserving the quantum probabilities generated by the state and bridge Hamiltonian. An event kernel Kₐ updates the complete state when channel a becomes operative. It records the emitted mode, debits the corresponding black-hole charges, updates the daughter geometry, and advances the selector and accounting ledgers. For an ordered radiation history a = (a₁, a₂, …, aₙ), the composite kernel is K[a] = K[aₙ] ⋯ K[a₂] K[a₁]. This ordered product defines one complete radiation history. Microstate dependence can thereby migrate into multiparticle correlations across the ordered Hawking record rather than being assigned to the one-particle thermal marginal alone. One evaporation viewed through five fields Black-hole physics Black-hole physics supplies the directly calibrated conversion law. The construction must recover Hawking/KMS weighting, the Hawking temperature, species and angular-mode structure, greybody transmission, recoil, luminosity, and the reduction of black-hole mass. The outgoing flux and the diminishing black-hole inventory are two sides of one event-level account. The framework turns the familiar statement of mass loss into a sequence of matched sourcehood transfers. Gravitation and general relativity Every emission changes the gravitational source and therefore the daughter geometry. Covariant conservation, Bondi mass loss, horizon balance laws, the first law of black-hole mechanics, and backreaction become event-by-event requirements rather than separate bookkeeping conventions. The Thorne–Price membrane paradigm supplies the robust exterior constitutive limit. Exterior coarse-graining must reproduce the stretched-horizon stress tensor, surface conductivity, entropy production, shear and bulk response, and the standard horizon-fluid transport coefficients. The membrane is the reliable macroscopic face of the process; the KSL specialization proposes an event-level parent whose eliminated information and correlations generate that exterior dissipative description. Quantum gravity Quantum gravity must provide one covariant parent law in which the quantum state and the geometry evolve together. The primitive transformation need not be represented as a material constituent traveling from an interior point to an exterior point. “Inside,” “outside,” and “crossing” are relations defined within the emergent metric description. At the parent level, the process may be a single relational update whose classical projection contains both a diminished black hole and a new exterior excitation. This interpretation converts the “subspace” intuition into a precise research target: pre-spacetime connectivity is dependence within the complete relational state, not a second navigable geometry. Its observable projection must preserve local Lorentz behavior, causal exterior propagation, and the absence of controllable superluminal signaling. Quantum foundations Unitary evolution of a quantum state does not by itself identify which stable radiative alternatives exist, determine when an event occurs, select one operative channel, or produce a durable classical record. The complete-state architecture assigns these functions to Dₜ, Cₜ, Rₜ, ωₜ, and Ξₜ. It therefore connects modal quantum amplitudes to one ordered physical history without promoting unselected alternatives into additional independently instantiated worlds. The transition rates preserve Born statistics, while relativistic completion requires hypersurface-local event propensities, compatible spacelike composition, path independence, and no preferred foliation. Black-hole evaporation consequently becomes a high-energy laboratory for an explicit quantum–classical bridge law. Quantum information Information preservation requires more than the formal assertion U†U = 1. The physical mechanics must identify where distinguishability goes and how it becomes recoverable. In the proposed architecture, joint projectors preserve the correlation between each emitted record and its daughter hole; event kernels update the charges and geometry; ordered kernels carry microstate dependence into multiparticle radiation correlations; and Ξₜ preserves the composition and inversion data for the complete history. The resulting radiation map must approach an isometry from the initial black-hole code subspace into the final radiation Hilbert space. Page-curve behavior, Hayden–Preskill recovery, asymptotic distinguishability, and island-formula entropy results become calibration targets for the same ordered event mechanics. Membrane recovery and derivation program The paper places the event-level proposal beneath established exterior physics rather than beside it. A successful completion must derive, from shared microscopic parameters: a covariant bridge action and finite stress tensor; the dynamically selected outgoing sectors Dₜ; the sector currents J(a,b) and Born-equivariant event rates; the event kernels Kₐ, including recoil and daughter-geometry updates; exact mass, angular-momentum, charge, correlation, and composition accounting in Ξₜ; Hawking/KMS weighting and greybody propagation; renormalized exterior stress-energy flux and horizon balance; the membrane stress tensor and horizon-fluid transport coefficients; relativistic selector dynamics with compatible spacelike gluing; Page behavior and an asymptotically isometric radiation map. The central implication is architectural. Black-hole evaporation is already a single physical transformation constrained by five mature bodies of work. The KSL transduction account proposes a sequence of physical maps through which conservation and unitarity become operationally visible: conserved black-hole sourcehood is progressively re-instantiated as definite, correlated, and ultimately recoverable exterior radiation. Independently prepared in recognition of Black Hole Week 2026 in Copenhagen, 22–29 August 2026.