After an experiment runs, exactly two decisions could still be made by a person: does this outcome exclude the theory's declared region, or did an auxiliary — source, tap, detector, calibration — fail, voiding the run instead; and who is licensed to say so. Any protocol that leaves either decision open after data exist has left a seat for a post-hoc refutation authority — the Global Falsifier, the imagined adjudicator who owns the modus tollens. Paper 44 of this sequence closed its photonic tapped-switch probe F_A at pre-registration-grade design ("the IV gate itself remains future laboratory work"); Paper 48 froze the shared adjudication layer as a handover template, typing everything design-specific as named pre-data slots behind a failable acceptance gate. What stands between that design and a laboratory's first shot is a single object: a completed, gate-passing handover instance. This paper — the forty-ninth in the sequence, centre panel of its Execution Program (Papers 48-50) — builds that object, the reference instance H_A, at the executable level the template promised. Delivered: the delta specification from the cited apparatus class (the Goswami-type photonic quantum switch) to 44's tapped configuration, component by component against the frozen budget rows; the schema completion with field-level primitives for every field, extensions add-only and partition-admissible; the frozen analysis pipeline in algorithmic normal form — IV gate, measured-calibration transfer, estimators, and the leaf router implementing 48's tap rows verbatim, under a language-independent rounding convention so floating-point artifacts cannot flip a frozen boundary direction — with the reference implementation shipped as a hash-anchored code appendix (deposited companion file) behind a declared production-scoring boundary; the concrete exclusion rule list with its veto-impact report and a frozen post-exclusion N rule disposing shortfall, surplus, and stopping at once; the S1-S4 blinding runbook; and the mock-data challenge, executed in three parts — a deterministic core exhaustive over every router branch and both tie directions, an adversarial set generated through a recorded, deposited exchange by a party in the auditor role that did not implement the scoring code, and a public-beacon-seeded bulk for totality and determinism. All three parts pass; the routing tables are generated by executing the shipped implementation and are typed non-evidence in the sentence that reports them. The acceptance gate is then run condition by condition on the deposited pair. One finding is published along the way: 48's coverage condition, read literally, would force every per-design instance to claim all seven leaves; the pre-committed completion evaluates coverage over the design's assigned leaf subset plus the shared non-execution leaf — an annotation to 48, never a retro-edit. The verdict is InstanceStatus_A = reference-complete, with an empty instance gap register: every gate condition passes, and what remains is ownership — acceptance transfers when a laboratory signs, auditor-reproducibly, over the instance plus its re-gated extensions; reference-complete never shortens to accepted, and an immutable core guarantees that no admissible extension can change what a null excludes, who may say so, or how boundary cases route. Displayed at the close is the channel's frozen exclusion content — the carve a future null already names, [1.7e-1, 2.1] at the conservative corner — beside the pre-priced Duhem escape map. Nothing is carved, scored, or measured; no band or feasibility verdict moves; the data paper 49-D stays reserved behind its unlock conditions. What retires is the interpretive seat: refutation content as a public, frozen, executable object — falsifiability without a Falsifier.
After an experiment runs, exactly two decisions could still be made by a person: does this outcome exclude the theory's declared region, or did an auxiliary — source, tap, detector, calibration — fail, voiding the run instead; and who is licensed to say so. Any protocol that leaves either decision open after data exist has left a seat for a post-hoc refutation authority — the Global Falsifier, the imagined adjudicator who owns the modus tollens. Paper 44 of this sequence closed its photonic tapped-switch probe F_A at pre-registration-grade design ("the IV gate itself remains future laboratory work"); Paper 48 froze the shared adjudication layer as a handover template, typing everything design-specific as named pre-data slots behind a failable acceptance gate. What stands between that design and a laboratory's first shot is a single object: a completed, gate-passing handover instance. This paper — the forty-ninth in the sequence, centre panel of its Execution Program (Papers 48-50) — builds that object, the reference instance H_A, at the executable level the template promised. Delivered: the delta specification from the cited apparatus class (the Goswami-type photonic quantum switch) to 44's tapped configuration, component by component against the frozen budget rows; the schema completion with field-level primitives for every field, extensions add-only and partition-admissible; the frozen analysis pipeline in algorithmic normal form — IV gate, measured-calibration transfer, estimators, and the leaf router implementing 48's tap rows verbatim, under a language-independent rounding convention so floating-point artifacts cannot flip a frozen boundary direction — with the reference implementation shipped as a hash-anchored code appendix (deposited companion file) behind a declared production-scoring boundary; the concrete exclusion rule list with its veto-impact report and a frozen post-exclusion N rule disposing shortfall, surplus, and stopping at once; the S1-S4 blinding runbook; and the mock-data challenge, executed in three parts — a deterministic core exhaustive over every router branch and both tie directions, an adversarial set generated through a recorded, deposited exchange by a party in the auditor role that did not implement the scoring code, and a public-beacon-seeded bulk for totality and determinism. All three parts pass; the routing tables are generated by executing the shipped implementation and are typed non-evidence in the sentence that reports them. The acceptance gate is then run condition by condition on the deposited pair. One finding is published along the way: 48's coverage condition, read literally, would force every per-design instance to claim all seven leaves; the pre-committed completion evaluates coverage over the design's assigned leaf subset plus the shared non-execution leaf — an annotation to 48, never a retro-edit. The verdict is InstanceStatus_A = reference-complete, with an empty instance gap register: every gate condition passes, and what remains is ownership — acceptance transfers when a laboratory signs, auditor-reproducibly, over the instance plus its re-gated extensions; reference-complete never shortens to accepted, and an immutable core guarantees that no admissible extension can change what a null excludes, who may say so, or how boundary cases route. Displayed at the close is the channel's frozen exclusion content — the carve a future null already names, [1.7e-1, 2.1] at the conservative corner — beside the pre-priced Duhem escape map. Nothing is carved, scored, or measured; no band or feasibility verdict moves; the data paper 49-D stays reserved behind its unlock conditions. What retires is the interpretive seat: refutation content as a public, frozen, executable object — falsifiability without a Falsifier.
When two arms of an experiment differ in exactly one respect — here, whether a monitoring record is retained or discarded before retention — three decisions remain after the data arrive: were the arms genuinely comparable, or did an ordinary asymmetry confound the pair; does the measured contrast track the recorded arm in the declared sense; and who may say what the outcome means. Mill's method of difference leaves its central clause — "all other circumstances remaining the same" — to judgment; whoever holds that judgment after data exist is a Global Comparator, the matched-pair authority, and the last post-data seat standing in this sequence's Execution Program (the Experimenter retired at Paper 44, the Statistician at 48, the Falsifier at 49). This paper — the fiftieth in the sequence, capstone of the Execution Program (Papers 48-50) — retires it by construction: it builds the reference handover instance H_D for Paper 44's recorded-unrecorded differential on the circuit-QED co-location envelope, at the executable level, and runs Paper 48's acceptance gate on the deposited pair. Delivered: the delta specification from Paper 42's benchmark environment to 44's design (the monitored-register-as-order-control upgrade, the two-regime protocol, the retention-step toggle, the dummy-write hardware); the schema completion to field-level primitives; the certification pipeline as executable functions — Paper 44's two lambda-blind pre-execution campaigns as the S1 gate whose failure is a typed pre-tree disposition (44's "no bound" pre-commitments, never a leaf), and the in-situ audits conjoined into the certificate whose ~40-order comparator-blindness margin is frozen content, cited and never recomputed; the scoring pipeline completing the one slot 48 assigned to this paper — a Ramsey delay-sweep readout-to-rate map over a declared, exactly-enforced grid with symmetric SPAM normalization, frozen edge cases, no clipping anywhere, a frozen per-arm post-exclusion N rule, the signed contrast, and the leaf router implementing 48's differential rows verbatim, including the anti-tracking route (subtyped for diagnosis, never split for authority); the concrete exclusion rule list with its veto-impact template; the S1-S4 runbook; and the mock-data challenge, executed in three parts — a deterministic core exhaustive over all four dispositions, every frozen edge case, and the production/harness boundary itself; an auditor-generated adversarial set produced through a recorded, hash-deposited exchange by a party that did not implement the scoring code, whose first execution caught a genuine pre-freeze defect, corrected before hash fixation and reported; and a public-beacon-seeded bulk. All three parts pass against hand-derivable or rule-derived expectations; the routing tables are generated by executing the shipped implementation and are typed non-evidence in the sentence that reports them. The gate passes condition by condition under the coverage completion inherited from Paper 49; the verdict is InstanceStatus_D = reference-complete with an empty instance gap register, and the Execution Program closes whole: one template, two instances, every leaf of 44's execution map covered by exactly one instance plus the shared non-execution leaf. Displayed at the close is the channel's frozen comparison content: a certified null already fires the carve and the collapse verdict, together, never separately; a certified tracking contrast already licenses distinctness earned and the first FrameworkForcedShift candidacy — declarable only in the data holder's own successor paper, the single reserved cell that is the Comparator's substantive retirement; everything else is the confounded row. Nothing is measured, carved, or scored; no band or feasibility verdict moves; the data papers stay reserved behind mechanical unlocks; reference-complete never shortens to accepted, and an immutable core guarantees no admissible adoption-time extension can change the margin, the sign convention, the anti-tracking route, or a single claim cell. Comparability has audits, tracking has a router, meaning has a table — nothing is left for an authority to judge.
Paper 44 of this sequence closed its U3 construction program at readiness: two budgeted experimental designs — a photonic tapped-switch probe and a circuit-QED recorded-versus-unrecorded differential — and an execution map, a pre-registered decision tree assigning every future measured outcome its pre-committed consequence, with scoring left "by whoever holds the data." Paper 47 then closed the theory-side debt ledger, leaving the executed-measurement route as the corpus's only live route to a framework-forced world-side shift. What 44 did not freeze is the layer between data-in-hand and leaf-adjudicated: shot schemas, exclusion policy, blinding order, stopping rule, claim authority. That unfrozen layer is where a post-data analysis authority could still sit — the researcher degrees of freedom and forking paths of the methodological literature, answered in precision physics by blind analysis and pre-registration. This paper — the forty-eighth in the sequence, opening panel of its Execution Program (Papers 48-50) — freezes exactly that layer, before any laboratory exists, as the template of a handover package executable and adjudicable by strangers: every analysis decision the package will ever need is either frozen here or typed as a named pre-data slot behind a failable acceptance gate, so that once a design-specific instance is accepted, no one — including the author, who operates no laboratory and has made that fact load-bearing — retains a seat from which a future outcome could be re-interpreted. Four document-level layers are delivered. Record layer: field-level shot schemas for both designs, with every field and every raw source typed into an audit or scoring partition; an add-only extension rule; ledger, provenance, and dataset-role conventions; and an exclusion grammar under which every excluded run is a first-class recorded event and every exclusion predicate is outcome-unread by construction. Statistics layer: the estimators, the null-carving formula, a leaf-decision normal form (frozen statistics, thresholds, tie rules per leaf), and the stopping rule, inherited verbatim from Papers 43/44 with the arithmetic re-checked; and a four-stage blinding architecture ending in a scoring stage at which everything is readable and nothing is choosable. Authority layer: a claim-authority table over the map's seven leaves and four post-data speaking roles — the data holder scores; the series designer holds no scoring cell; the decisive leaf is licensed only to the data holder's own successor paper — plus the handover normal form H with a seven-condition acceptance gate, a data-existence certificate with a public deposit obligation, a mock-data challenge typed as non-evidence, and pre-committed unlock conditions for the reserved data papers 49-D/50-D. Verdict layer: a six-check closure audit (leaf coverage; arithmetic consistency; partition admissibility; blinding soundness; exclusion soundness; authority totality), each check mechanical against the delivered artifacts, with the pre-committed either-way verdict ProtocolStatus in {closed, gapped} scoring template closure — an executable package exists per design only as an accepted H-instance. The audit is run and every check passes: closed at the template layer, quarantine register empty. Papers 49 (tap-channel exclusion protocol) and 50 (recorded-unrecorded differential protocol) are unlocked to instantiate H per design; only the unlock-conditioned data papers 49-D/50-D will ever score a datum. The retired authority is the Global Statistician — post-data analytic discretion personified: its authority reading is retired by construction (no analysis decision has a post-data seat left to occupy, the per-design property conferred by each accepted H-instance), its innocence reading by the imported methodological record, and its substantive face — one uniquely correct inference framework — is declined, not refuted. Nothing world-side moves: no datum is scored, no band or floor shifts, the feasibility verdicts stay 44's, U3Status is restated not re-scored; if no laboratory ever executes, the program rests where 44 left it — undecided, with an implementable and now administrable discriminant — a complete record, not a failure.
This paper is the forty-fourth in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It is the closing panel of the twelfth grouping — the U3 construction program — and its genre was fixed by Paper 43's closure before its first sentence: a design-and-feasibility paper for new configurations, barred from re-interpreting existing proposals, executing no measurement, scoring no datum, and moving no band. Paper 43's verdict (iii-c) — a surviving, laboratory-reachable-in-part window with reachable sub-window [1.7e-1, 2.1] at the conservative probe corner — unlocked this panel as a conditional discriminant-and-design unlock, not a claim that the generic-CQ collapse branch was avoided. What this paper supplies is the readiness layer: everything short of the measurement itself, arranged so that whichever outcome the world someday returns is already a typed verdict. Three feasibility verdicts are computed, each by a criterion declared before the computation, each with a named failure branch carrying a pre-committed publishable consequence. F_A — the photonic probe (flagship): Paper 43's symmetric dual-rail tapped-switch circuit is completed to pre-registration grade — a six-row confound budget with every row closing at its declared floor, an executable lambda-blind instrument-validity protocol at a declared tap ramp, the statistics/systematics split displayed (statistics never bind; every binding floor is a systematic), and a pre-committed outcome map on which a null carves a named region of the band while an excess is held un-interpreted pending the differential. F_A closes as a pre-registration-grade design — explicitly not an execution pass: every systematic either closes algebraically or carries an executable pass/fail gate whose failure branch is pre-committed, and the instrument-validity gate remains future laboratory work. F_B — the circuit-QED co-location envelope: the Paper 42 benchmark environment with one structural upgrade no existing device is claimed to instantiate — the monitored register is the order-control register — scored against five host-envelope criteria under a two-regime protocol (a validity regime that certifies the controlled-order resource, and a monitored regime in which the measured destruction rate of that resource is itself the observable). F_B is established as a design at declared floors, explicitly not a device claim, and the environment carries the named status-audit instruments (sector-exhibition, Clausius-defect protocol, co-location gravimetry option), specified and never executed. F_C — the recorded-versus-unrecorded differential at execution readiness: the declared toggle is the retention-step toggle — the entire analog chain runs identically in both arms; only persistent retention of the during-window monitoring stream differs, with both arms' rates estimated from identically-retained end-of-sequence readout, and the unrecorded arm's zero-export status fixed a priori at architecture level (transient buffer dwell time far below the retention floor, no persistent branch, effective redundancy below threshold — audited before the arm is admitted, with audit failure failing the verdict rather than mislabeling the arm). The comparator-blindness certificate is computed in the comparator class's own normal form to pass with about forty orders of magnitude of margin: the sole physical difference between arms — branch-correlated persistent-memory writes at meters — induces ~1e-36 per second of comparator contrast against an audit floor of ~1e4 per second, robust to twenty orders of transcription generosity. Ordinary write systematics are closed by an equalized dummy-write/dummy-load protocol, and the declared rate-matching floor closes from its own five-row decomposed budget; at that floor the discriminable sub-band covers the entire reachable window even at the conservative certified fraction. F_C is implementable. The realized corner of the pre-declared verdict architecture is (P_exec, D_disc) = (yes, yes): a band-motion-capable probe design exists, and the distinctness discriminant exists. The lasting artifact is the execution map: the single pre-registered decision tree from every feasibility verdict and every possible future measured outcome to its Paper-43 pre-committed consequence — null: carve; certified contrast tracking the recorded arm: distinctness earned and the first FrameworkForcedShift candidate; certificate failure in situ: confounded row, nothing carved, collapse at the audit frontier. The title's "Gate-VII signature" is typed exactly and nowhere exceeded: it names the designed observable pair whose executed measurement could first move the force axes of U3Status off pending — the paper claims no crossing, no measurement, no confirmation, no probability. The retired authority is the Global Experimenter: the assumption that empirical adjudication of an adopted dynamics requires a privileged, external certifying authority. Its methodological face is retired with the levels typed — world-level results come only from executed measurement, program-level results from pre-committed design, and nothing further is needed; its substantive face is declined, not refuted. The retirement is enforced by the subject matter itself: the probe's heralded detection records are certified export events — the very quantity that sources the predicted excess — so any apparatus that measures the kernel is made of what the kernel rates, and no experimenter stands outside the physics even in principle. U3Status is restated, not re-scored; Gate VII is claimed by nobody; the twelfth grouping ends with every branch disposed and the program handed to the laboratory.
This paper tells the quantum-mechanical account of Admissibility Physics in one place, from the first declared fact to the last committed record. From a single finite-capacity axiom (A1) plus one declared occupancy fact, the story runs through the Δ calculus that prices jointness (Δ = ε(J − R), derived, with two fences: Δ is not an information functional, and Δ > 0 is not a quantum criterion); the separable / irreducibly-joint fork, decided by an exact Boole-polytope feasibility test; the Boolean-defender bridge that forces noncommutativity where the global Boolean section fails; the gate pipeline that earns complex Hilbert space and the finite Born trace rule as endpoint theorems rather than postulates; the correlation ladder from product states to Tsirelson, with a native family ceiling 2√2·102/103 carried at honest reading grade with a live falsifier; resolution as a class transition, with the free/spend/permanent triad proved as a composition of banked theorems and measurement, decoherence, the Page curve, and the Diósi–Penrose scale as four worked instances of one mechanism; and the arrow of time as the one-way ratchet of the admissibility floor — confinement, the second law, and the quantum as one axis read at graded strengths. Every load-bearing step is anchored to a named, machine-verified check function in the APF theorem bank; the grade of each step is stated where the step is made; and everything the story does not claim is stated in one place. The Technical Supplement (deposited alongside and linked from this record) is self-contained for this paper: every definition, proof, and grade the story rests on, in one document, with a worked end-to-end instance and a reproducibility appendix pinning the theorem bank to a public repository and an archived release. About the series. Admissibility Physics is a structural realist reconstruction program built on a single commitment: any bounded region of the world can hold only finitely many distinctions. A principle of least enforcement cost then selects, among all the ways those distinctions might be arranged, the configurations a finite world can sustain. From this the content of physics is reconstructed rather than postulated: the Standard Model's gauge group and matter content, the Hilbert-space and Born-rule architecture of quantum mechanics, the geometry and field equations of general relativity, the four laws of thermodynamics, and the large-scale budget of cosmology emerge as different readings of one finite-capacity ledger. The unification is quantitative as well as conceptual: the framework's dimensionless constants appear not as free parameters but as counts read off that ledger — among them the dark-energy fraction ΩΛ = 42/61 and the weak mixing angle sin2θW = 3/13 — fixed, in the strongest cases, to within current measurement. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately; every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems, 48 quantitative predictions); and each result is carried at an explicit, graded level of confidence — from analytically forced to structurally grounded — with the measurements that would refute it named. Admissibility Physics is offered as a candidate, not a finished theory. If the program holds, the laws of physics could not have been otherwise: they are what a finite world permits. Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 12 — The Gauge Sector of Admissibility Physics — DOI 10.5281/zenodo.21212521 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 14 — The Quantum Story — DOI 10.5281/zenodo.21212188 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 19 — Large-Angle CMB Suppression as a Finite-Continuability Constraint — DOI 10.5281/zenodo.21199218 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 23 — Magnetically Dark Winding-Class Quantum Processors — DOI 10.5281/zenodo.21199220 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 25 — The Recruitment-Radius Extension: Applications — DOI 10.5281/zenodo.21199222 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 32 — Quark Anchors as APF Trace Masses — DOI 10.5281/zenodo.21199226 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 36 — The Missing Floor — DOI 10.5281/zenodo.21199228 Paper 37 — Collapse as Realignment — DOI 10.5281/zenodo.21199231 Paper 38 — Unification as Ledger — DOI 10.5281/zenodo.21199233 Paper 39 — Coherent Phase Regimes in the APF Interface Engine — DOI 10.5281/zenodo.21199235 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Paper 48 — The Light-Bending Weight Is Not Free — DOI 10.5281/zenodo.21199627 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version.
This paper is the forty-third in a sequence developing an interpretive framework that redescribes physical reality as a causally consistent history of information updates rather than as a collection of independently existing objects. It is the prediction-and-exclusion panel of the twelfth grouping — the U3 construction program — and it adopts nothing, spends nothing, and tunes nothing: Paper 41 adopted the common record-history kernel P_ker at the claim level L3-A and computed its admissible space; Paper 42 executed the recovery conditions and spent the grouping's single calibration, freezing the normalized kernel — the decoherence coefficient confined to the gate-truncated band Lambda_cal = [5e-5, 2.1] (architecture-level record-chain variant [5e-5, 2.1e-1]), the diffusion coefficient carried as a per-class prediction band, the order coefficient computed from operator overlap, the eligibility thresholds fixed at adoption. Every number in this paper is a consequence of the normalized kernel plus declared audit inputs. The paper computes the program's first genuine prediction bands, both defined as excesses over the full standard model. For any controlled-order process (quantum-switch class) with audited certified-export count N_exp coupling to the order register during coherence, the order coherence obeys -ln(V/V_std) = kappa_W lambda_dec N_exp, with V_std computed first (including the standard which-order record-formation decoherence Paper 34 already identifies) and the overlap coefficient computed exactly for the declared symmetric dual-rail tapped-switch configuration (orthogonal detector modes give kappa_W = 1, and V_std(t) = V_0(1-t) is derived for the actual circuit). The export-correlated geometry-noise band is delivered with its dimensional map and shown to sit roughly sixteen orders below any plausible force-noise floor — suppressed, computed and stated early; the order channel carries the panel. Three verdicts follow, each by a rule fixed before any data were consulted. The exclusion audit (one-dataset-one-role: the Paper 42 calibration dataset is barred) finds every existing class either export-vacuous or — the one export-non-vacuous sibling row, Sears et al. 2012 — bound-non-yielding, because the source states no quantitative residual and the declared transcription discipline forbids manufacturing one: nothing is carved, the surviving set equals the whole band, and this pre-declared fallback outcome is published as such. The empirical-distinctness decision (the generic-CQ collapse branch Paper 41 deferred here), evaluated pointwise over the band against the whole admissible universal-mass-density-CQ comparator class, returns undecided-with-a-specified-discriminant: no performed audit decides it in either direction, and the band's upper sub-band carries a specified, feasible, not-yet-performed differential audit — identical monitored devices with the output chain recorded versus unrecorded at fixed total decay, on which every admissible comparator predicts zero contrast and the kernel does not — with the decision rule for its execution pre-committed (contrast: distinctness earned; null across the discriminable sub-band: that region carved and the collapse verdict fires). The reachability trichotomy: the binding design inequality of any co-designed export channel is lambda_dec times the probe's certified fraction >= 4 deltaV / V_0 (derived for the declared circuit at its optimal tap), and on the supported photonic-switch platform class (Procopio 2015; Rubino 2017; Goswami 2018) the declared floors reach lambda_dec >~ 1.7e-1 at the conservative probe corner (4.7e-2 at the best declared corner): the verdict is (iii-c) — a surviving, partially reachable window — and Paper 44 is unlocked as a design-and-feasibility paper, inheriting the probe specification, the confound budget, and the differential-audit protocol. The retired authority is the Global Sequencer in its dynamical face — the assumption that definite before-and-after must be imposed by a dedicated universal classicalizing agency rather than generated at a computable, testable rate by ordinary record export; its retirement is conditional on P_ker and says so. "Not excluded" is never read as "confirmed"; no gate is crossed; no U3 is claimed — even the surviving window is a window, not a crossing.
This is the Technical Supplement — the proof-dense companion and the canonical formal record for the paper's claims. The main paper argues; the supplement proves. Every load-bearing claim traces to a named check function in the APF verification engine, and the supplement is the document a referee should audit first. The supplement is self-contained for Paper 14: every definition, proof, and grade the paper rests on appears in this one document — the substrate primitives and the marginal admissibility floor, proved; the locality and cost-uniqueness lemmas; the Δ calculus with both fences' witnesses written out; the Boolean-defender bridge with its five certified physical hypotheses and the 3-4-5 worked witness computed on the page; the gate pipeline with a gate-by-axiom comparison to the operational-reconstruction literature (Hardy; Chiribella–D'Ariano–Perinotti; Masanes–Müller; Barnum–Wilce; Spekkens; Abramsky–Brandenburger); the native correlation family constructed explicitly, rung by rung; the resolution triad set against standard thermodynamics (Landauer, erasure, environment-assisted recovery); a consolidated readings register listing every claim below [P] with its falsifier and status; a glossary mapping the framework's vocabulary onto standard quantum-information terms; and a worked end-to-end instance — device to interrogation normal form to exact feasibility certificate to priced ledger, with every tolerance explicit. A reproducibility appendix pins every claim to the APF theorem bank at a named GitHub commit and the archived Engine release (DOI 10.5281/zenodo.18529115); the certificates reproduce deterministically in exact rational arithmetic. About the series. Admissibility Physics is a structural realist reconstruction program built on a single commitment: any bounded region of the world can hold only finitely many distinctions. A principle of least enforcement cost then selects, among all the ways those distinctions might be arranged, the configurations a finite world can sustain. From this the content of physics is reconstructed rather than postulated: the Standard Model's gauge group and matter content, the Hilbert-space and Born-rule architecture of quantum mechanics, the geometry and field equations of general relativity, the four laws of thermodynamics, and the large-scale budget of cosmology emerge as different readings of one finite-capacity ledger. The unification is quantitative as well as conceptual: the framework's dimensionless constants appear not as free parameters but as counts read off that ledger — among them the dark-energy fraction ΩΛ = 42/61 and the weak mixing angle sin2θW = 3/13 — fixed, in the strongest cases, to within current measurement. The core derivation runs Papers 0–11; the extension papers carry the individual sectors. Each paper's main text and Technical Supplement is deposited separately; every quantitative claim traces to a named, executable check in the public theorem bank (over 3,800 bank-registered theorems, 48 quantitative predictions); and each result is carried at an explicit, graded level of confidence — from analytically forced to structurally grounded — with the measurements that would refute it named. Admissibility Physics is offered as a candidate, not a finished theory. If the program holds, the laws of physics could not have been otherwise: they are what a finite world permits. Website: admissibilityphysics.com. Engine and theorem bank: https://github.com/Ethan-Brooke/APF-Engine. Full series and latest deposits: Zenodo community admissibility_physics. The Engine — Admissibility Physics: An Executable Constraint Framework and Constants Map — DOI 10.5281/zenodo.18529115. Paper 0 — What Physics Permits: A Constraint-First Framework for Physics — DOI 10.5281/zenodo.18439523 Paper 1 — The Enforceability of Distinction — DOI 10.5281/zenodo.18439200 Paper 2 — Finite Admissibility and the Failure of Global Description — DOI 10.5281/zenodo.18439274 Paper 3 — Entropy, Time, and Accumulated Cost — DOI 10.5281/zenodo.18439363 Paper 4 — Admissibility Constraints and Structural Saturation — DOI 10.5281/zenodo.18439397 Paper 5 — Quantum Structure from Finite Enforceability — DOI 10.5281/zenodo.18439433 Paper 6 — Dynamics and Geometry as Optimal Admissible Reallocation — DOI 10.5281/zenodo.18439445 Paper 7 — A Minimal Quantum of Action from Finite Admissibility — DOI 10.5281/zenodo.18439513 Paper 8 — The Admissibility-Capacity Ledger — DOI 10.5281/zenodo.19721384 Paper 9 — The Geometric Substrate as Cost Structure of Comparison Continuations — DOI 10.5281/zenodo.20041675 Paper 10 — The Calculus of Finite Continuability — DOI 10.5281/zenodo.20041680 Paper 11 — Forced Universality from Capacity-Bounded Admissibility — DOI 10.5281/zenodo.20684198 Paper 12 — The Gauge Sector of Admissibility Physics — DOI 10.5281/zenodo.21212521 Paper 13 — The Minimal Admissibility Core — DOI 10.5281/zenodo.18361446 Paper 14 — The Quantum Story — DOI 10.5281/zenodo.21212188 Paper 16 — Markov Breakdown and the Hard Problems — DOI 10.5281/zenodo.20684207 Paper 18 — The Electroweak Sector as a Capacity Equilibrium — DOI 10.5281/zenodo.20684209 Paper 19 — Large-Angle CMB Suppression as a Finite-Continuability Constraint — DOI 10.5281/zenodo.21199218 Paper 20 — The Enforcement Crystal — DOI 10.5281/zenodo.18531732 Paper 23 — Magnetically Dark Winding-Class Quantum Processors — DOI 10.5281/zenodo.21199220 Paper 24 — The Recruitment-Radius Extension — Foundations — DOI 10.5281/zenodo.20684211 Paper 25 — The Recruitment-Radius Extension: Applications — DOI 10.5281/zenodo.21199222 Paper 28 — Absolute Mass Scales from Electroweak Capacity Saturation — DOI 10.5281/zenodo.20684215 Paper 29 — Plaquette Representation Dominance and Confinement — DOI 10.5281/zenodo.20684218 Paper 30 — A Tube Mechanism for the Lattice Mass Gap — DOI 10.5281/zenodo.20684220 Paper 31 — Osterwalder–Schrader Structure of Lattice Yang–Mills — DOI 10.5281/zenodo.20684222 Paper 32 — Quark Anchors as APF Trace Masses — DOI 10.5281/zenodo.21199226 Paper 33 — Trace-to-Scheme Export Architecture — DOI 10.5281/zenodo.20684224 Paper 35 — The Dark Sector as a Two-Role Capacity Decomposition — DOI 10.5281/zenodo.20684228 Paper 36 — The Missing Floor — DOI 10.5281/zenodo.21199228 Paper 37 — Collapse as Realignment — DOI 10.5281/zenodo.21199231 Paper 38 — Unification as Ledger — DOI 10.5281/zenodo.21199233 Paper 39 — Coherent Phase Regimes in the APF Interface Engine — DOI 10.5281/zenodo.21199235 Paper 40 — The Thermodynamics of Finite Distinction (Between Symmetry and the Void) — DOI 10.5281/zenodo.20684235 Paper 41 — The Horizon as a Continuation Ledger — DOI 10.5281/zenodo.20684241 Paper 42 — The Weak Mixing Angle Is Not Free — DOI 10.5281/zenodo.20684245 Paper 43 — The Neutrino Sector — DOI 10.5281/zenodo.21194191 Paper 44 — What a Finite Theory Owes the Continuum — DOI 10.5281/zenodo.21195874 Paper 45 — What the Vacuum Can Keep — DOI 10.5281/zenodo.21194195 Paper 46 — The Strong CP Angle Is Not Free — DOI 10.5281/zenodo.21194197 Paper 47 — The Confinement Antecedent Is Not Forced — DOI 10.5281/zenodo.21194199 Paper 48 — The Light-Bending Weight Is Not Free — DOI 10.5281/zenodo.21199627 Technical Supplements cross-link to their main paper via isSupplementTo and to the engine via isDocumentedBy. Concept DOIs above resolve to the latest version.