This upload presents an open research framework for a braid-sector detector programme. The framework explores how structured braid information is detected in toy open-system models, moving from hand-prepared two-state braid sectors to natural braid steady states, qutrit braid sectors, correlation-based readout channels, compact phase diagrams, and a tightened qutrit phase-boundary scan. The main result is that local detector one-point observables are weak probes of braid order, while braid–detector correlation channels carry the decisive signal. In the qutrit sector, the dominant readout crosses from population-dominated to phase-dominated when the nearest-neighbour braid mixing exceeds a sharp threshold near V* ≈ 0.48, with only mild dependence on residual energy splitting and explicit phase coupling. The upload also includes a first toy asymptotic memory-charge ansatz that promotes this crossover to a boundary-memory model on null infinity. This is not presented as a peer-reviewed claim of established physics. The purpose of this document is to freeze the present framework, numerical logic, observables, and main outcomes in a form usable by other researchers as a basis for extension, critique, or replacement.
This upload presents an open research framework for a braid-sector detector programme. The framework explores how structured braid information is detected in toy open-system models, moving from hand-prepared two-state braid sectors to natural braid steady states, qutrit braid sectors, correlation-based readout channels, compact phase diagrams, and a tightened qutrit phase-boundary scan. The main result is that local detector one-point observables are weak probes of braid order, while braid–detector correlation channels carry the decisive signal. In the qutrit sector, the dominant readout crosses from population-dominated to phase-dominated when the nearest-neighbour braid mixing exceeds a sharp threshold near V* ≈ 0.48, with only mild dependence on residual energy splitting and explicit phase coupling. The upload also includes a first toy asymptotic memory-charge ansatz that promotes this crossover to a boundary-memory model on null infinity. This is not presented as a peer-reviewed claim of established physics. The purpose of this document is to freeze the present framework, numerical logic, observables, and main outcomes in a form usable by other researchers as a basis for extension, critique, or replacement.
The boundary-defined null connection (BDNC) framework [Zhang 2026, DOI:10.5281/zenodo.20032379] identifies unsorted-marginal stability as the diagnostic location where any predictively distinct extension of standard quantum mechanics would have to depart, but stops short of supplying a BDNC-specific predictive law: a generic future-state weighting ansatz amounts to a no-signaling violation rather than a BDNC-specific signature. This paper supplies one candidate. We propose the *Null-Boundary Response* postulate: in experiments with multiple coherent null alternatives and a future absorber boundary that partitions the channels, the joint source-absorber probability differs from standard quantum mechanics by a small response term proportional to the boundary-sensitive imaginary coherence between alternatives, antisymmetric across complementary absorber channels. The antisymmetry forces Σ_m Δ P_m = 0 by construction, so no-signaling is preserved exactly: the NBR candidate predicts no raw marginal violation. The imaginary-coherence form Im[Psi_A* Psi_B] follows from a first-order expansion under the future-boundary-dependent path-dependent phase twist; the natural distinguishability window from the marker-induced reduction is W(D) = D√(1−D²), peaking at D = 1/√2. The experimental signature is a small in-quadrature phase-shift residual in the coincidence-difference fringe pattern of a phase-scanned delayed-choice quantum eraser, antisymmetric across complementary post-selection channels and invisible in the unsorted marginal. The signature carries a six-feature fingerprint that distinguishes it from generic no-signaling violation, ordinary decoherence, detector bias, and standard two-state-vector imaginary weak values; in particular, the weak-trace "past of a quantum particle" interpretation underlying recent TSVF demonstrations [Vaidman 2013; Aharonov-Cohen-Elitzur 2017] is itself contested [Hance-Rarity-Ladyman 2023; Vaidman 2023], and NBR's predictive content must be (and is) sharper than either position in that exchange. We sketch the experimental protocol, identify basis-calibration as the principal systematic (β = 0 throughout denotes the independently calibrated real post-selection basis), and discuss what would constitute genuine confirmation versus confounding. A realistic target statistical sensitivity at N ~ 10^8 pair detections is ε ~ 10^-4, contingent on systematics control. The framework is restricted to two-path single-photon experiments with binary or finitely-multinary future-absorber channels; the multi-photon and massive-particle extensions are out of scope.
This is a non-peer-reviewed theoretical preprint intended for community discussion and public dissemination. This preprint develops a TEBAC 9D/9D+ boundary-kernel framework for structured-light quantum metrology, using entangled orbital-angular-momentum optical rotatory dispersion as the motivating setting. The framework interprets chirality as an oriented E1M1 phase defect, the OAM index as a transverse winding channel, Gouy phase as propagation holonomy, detector pixelation as finite-rank boundary projection, and Fisher information as the induced phase metric on the observed boundary data. The preprint proposes experimentally testable signatures, including OAM-dependent winding, Gouy-shifted Fisher maxima, detector-resolution scaling, enantiomeric sign reversal, Bell-sector symmetry splitting, and a non-factorizable coincidence residual distinguishing product coincidence data from genuinely two-boundary correlations. The manuscript does not claim journal peer review or acceptance. It is released as a public theoretical preprint to make the TEBAC 9D/9D+ phase-kernel interpretation visible and citable.
This paper establishes the general theorem of boundary-center readout in Algebraic Quantum Morphogenesis (AQM). Earlier papers treated the minimal noncommutative neck algebra, measurement-center splitting, the three-stage condensation path of K-flow, the effective Standard-Model algebra, finite-spectral bare stiffness, the finestructure constant, the Borromean entanglement factor, the fourfold suppression chain for dark energy, algebraic landscape completeness, and boundary spectral dimension with Robin/APS-type boundary structures. The purpose of the present paper is not to rederive these particular results, but to prove the common readout principle behind them: low-energy observables are not direct readings of bare noncommutative bulk elements, but outputs of finite noncommutative bulk spectral states after effective centralization, boundary spectral closure, and invariant-channel readout. We first define the AQM finite-spectral bulk state Xbulk = (Abulk ,Hbulk ,Dbulk ,J,Γ,ρ,ω), and introduce the effective-centralization map Πeff : Xbulk −→ Xeff, and the boundary spectral-closure functor B∂ : Xeff −→ X∂. Three core lemmas are then proved. First, noncentral bulk elements may serve as measured objects, but they cannot directly serve as stable, reproducible, objective classical record labels; classical record labels must belong to the center or approximate center of an effective algebra. Second, if the dynamical limit of apparatus coupling, environmental decoherence, and finite-resolution coarse graining converges to a statistics-preserving conditional expectation E : A → Aeff, and if Z (Aeff) =CPαα is nontrivial, then the minimal central projections Pα label classical outcomes, with Born weights pα = ω(Pα). Third,the boundary readout functor decomposes into several non-mixing invariant channels: the central trace channel, the electromagnetic phaseresponse channel, the Borromean entanglement channel, the Casimir-gap channel, and an explicitly declared time-readout channel. These structural channels land in different invariant target spaces; in the absence of a natural isomorphism or an explicitly supplied natural transformation, the output of one channel cannot be substituted for the input of another. On the basis of these lemmas, the main theorem is proved: if a low-energy quantity Olow is required to be stable, reproducible, and recordable, then it must have the form Olow = Ri B∂(ΠeffXbulk), where Ri is a boundary invariant readout channel, or an explicitly declared direct-sum combination of channels. The paper further adds the independence and non-mixing principle of the electromagnetic readout channel, showing that the electromagnetic boundary phase-capacity formula in Paper VI can only be used inside the target space of the electromagnetic phase response, and cannot be mixed with the dark-energy, Borromean, Casimir-gap, or time-readout channels. The paper does not claim to complete an unconditional first-principles derivation of all finite spectral triples, all fusion categories, the full Yukawa/CKM/PMNS structure, or the complete Lorentzian spacetime and Einstein equations. What is closed here is the channelized readout principle from finite noncommutative bulk algebra to low-energy observables.
This document formulates a pre-registered falsification programme for entanglement and wavefunction-collapse phenomenology in open quantum systems. The framework adopts a register-oriented convention: an entangled AB preparation is represented as a single non-factorisable boundary-informational unit, while A and B denote locally addressable access components used in the operational workspace for control, marginalisation, tomography, and state-level entanglement readout. Measurement is described as apparatus-channel activation of an addressed logical sector. This convention fixes the interpretation of the symbols, but the tests are stated entirely in terms of operational diagnostics. The core programme compares reconstructed open-system descriptions through irreversible entropy production, entropy flux, Landauer-deficit variables, dissipator-level synchronisation, non-Markovian memory response, entanglement-sudden-death threshold timing, and Sagawa–Ueda feedback-information saturation. Five pre-registered predictions are stated. P-EC1 tests the collective-versus-local Landauer-deficit ordering in a bright-sector Dicke benchmark. P-EC2 tests the finite-rate approach of an apparatus-channel deficit toward the readout-completed asymptote under continuous diffusive monitoring, formulated on a stationary-window ensemble estimator. P-EC3 tests the spectral dependence of the non-Markovian Landauer-deficit excess. P-EC4 compares the first concurrence zero-crossing (entanglement-sudden-death threshold) with thermodynamic relaxation timing. P-EC5 tests Sagawa–Ueda bound-saturation and saturation-curve behaviour under feedback information, including an operational proxy mapping for the Yada et al. iterative-feedback anchor. Each prediction is assigned a status in a decision tree with positive controls, quantitative windows, consistency bands, platform anchors, and explicit fail conditions. The programme distinguishes worked-case consistency checks from independent-platform primary falsification tests, and separates core falsification claims from near-future or conditional routes. A boundary-clock extension is also recorded as a non-conservative layer with its own handles; its near-dark chart-inversion observable, tracked by the bounded marker η_chart(t) and the integrated observable 𝐼ₖ₅, is reported as a conditional outlook, not as a core prediction. The document therefore does not claim to derive the Born rule, prove an ontology of collapse, or modify standard quantum mechanics. It asks whether a specific boundary-persistence architecture survives a set of pre-registered operational tests.
Abstract We study whether a fixed qutrit feature geometry built from classical time-series derivatives and residual variability supports compact readouts that remain meaningful across heterogeneous cohorts. The eight special-unitary-group SU(3) Gell-Mann coordinates are derived analytically as deterministic functions of the four classical inputs, making the representation's inductive structure explicit. We then separate representation, candidate readout subspace, fitted direction, target detectability, and predictive utility under participant-separated evaluation. Human Activities and Postural Transitions (HAPT) data repeatedly select the gauge-fixed sector {λ₆, λ₈}. On Daphnet freezing-of-gait data, this core reaches pooled area under the receiver operating characteristic curve (AUROC) 0.72572 with participant-cluster jackknife 95% interval [0.63792, 0.81352], close to 0.72872 for the full eight-coordinate qutrit representation (Q3). A prospectively frozen FoG-STAR lower-back test fails its empirical detectability screen: the best pre-specified model has AUROC 0.50977 [0.45615, 0.56339]. A post-hoc event-level audit using archived fold-specific thresholds finds high nominal event sensitivity but 4.06 false alarms per minute on Daphnet and 27.69 on FoG-STAR primary, excluding a practical detector interpretation. Local encoder perturbations do not rescue the failed primary transfer. Same-information classical interaction features match or exceed reconstructed Q3 on several external settings. Thus neither quantum advantage nor SU(3)-specific predictive gain is supported. The contribution is a falsification-oriented, gauge-aware framework for testing whether compact operator readouts survive cohort, sensor, and task shifts.
Diagnosing time-directional asymmetry in open quantum systems requires a metric robust to basis choice, because basis-dependent diagnostics yield contradictory answers to whether an asymmetry exists. We employ the trace distance O(g) = 1/2 tr|rho+ - rho-| - the maximal probability advantage for distinguishing forward from backward steady states - and establish it as a basis-free order parameter for steady-state time asymmetry in two analytically solvable minimal models of open two-qubit systems: a driven model, in which a unitary U-symmetry rigorously enforces that the asymmetry is stored entirely in quantum coherences (robust by symmetry), and a bath model, in which coherence-only storage is a dynamical coincidence (robust by tuning). In both models the asymmetry exhibits an interior peak in coupling strength, a classical jump-counting detector is provably blind to it, and pure dephasing destroys it while leaving the population sector untouched. In the driven model the energy and activity observables are exactly U-even while the order parameter is U-odd, so information and energy are carried by orthogonal symmetry sectors - a structural, not numerical, separation. We then derive the first closed-form solution O(lambda,kappa) = lambda/(lambda^2 + 1/2 + 2 kappa) for a single driven qubit with dissipation and pure dephasing, give the optimal drive ratio lambda* = sqrt(1/2 + 2 kappa), and provide a ready-to-run superconducting-transmon measurement protocol with a 2.7% error budget that turns the predicted asymmetry into a directly falsifiable experiment. A multi-qubit generalization yields the exact even-odd staircase O_(2k-1) = O_(2k) with asymptotic enhancement sqrt(2N/pi) - a parameter-free test of permutation-symmetric preparation.