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 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.
Entangled photons can encode more information than classical light, enabling quantum-enhanced optical measurements. We formulate optical rotatory dispersion (ORD) spectroscopy as a quantum metrology phase-estimation problem using photons entangled in their orbital angular momentum (OAM). While polarization-entangled photons have previously been shown to improve the precision of ORD measurements, we extend this approach by exploiting the higher-dimensional entanglement available through photon OAM. We show how the optical activity of a medium can be imprinted on the interference patterns of OAM-entangled photons measured by coincidence detection. The attainable precision of this setup, quantified by the Fisher information, exceeds that of the classical detection scheme. Our analysis shows that the metrological performance is controlled by the symmetry of the entangled state, the OAM index through the Gouy phase accumulated in the detection geometry, and the pixel resolution of the detectors. Beyond chiroptical spectroscopy, our results provide a general strategy for the broader task of phase estimation with entangled structured light.
This preprint presents a finite-dimensional quantum-simulation framework for selected TEBAC 9D/9D+ topological phases, with emphasis on synthetic-dimensional encoding, spectral-gap diagnostics, portal-channel observables, and Qiskit-ready Hamiltonian construction. The manuscript formulates a finite-lattice simulation target for the internal TEBAC sector and encodes the model through Pauli-sum Hamiltonians suitable for NumPy exact diagonalization, Qiskit Aer simulation, and future IBM Runtime execution. The central simulation Hamiltonian is organized schematically asHsim=HDirac(N)+Hgauge(N)+Htop(N)+Hchannel(N). The paper develops a concrete two-qubit benchmark v0.1 and a four-qubit finite-lattice sector v0.2. For the four-qubit sector, the manuscript gives an explicit Pauli decomposition, exact spectrum, spectral-gap diagnostic, topological proxy, link-sector markers, fidelity diagnostic, and determinant diagnostic. A key contribution of this version is the transition from a hardware-ready protocol to an executed local emulator report. The v0.2 four-qubit sector is evaluated through NumPy exact computation and local Qiskit Aer execution, including ideal sampling, readout-noisy sampling, and readout-mitigation recovery. For the topological proxyQ4=⟨ZZZZ⟩,the reported values are:Q4exact=0.986000,Q4Aer,ideal=0.986572±0.001805,Q4Aer,noisy=0.775391±0.006977,andQ4mitigated=0.993137±0.008936. The manuscript also includes a Qiskit Aer / IBM Runtime execution skeleton, an error-mitigation roadmap, and a validation ledger. The included code package provides the Python scripts used for the NumPy and local Qiskit Aer runs. This preprint should be read as a companion algorithmic module to the TEBAC portal-channel preprint. The portal-channel preprint formulates the geometric and quantum-informational target model; the present manuscript formulates and partially executes a finite-dimensional quantum-simulation protocol for selected spectral, topological, and channel-level diagnostics. The RH and BSD modules of the broader TEBAC 9D/9D+ programme are discussed only methodologically. They are not used as physical inputs for quantum simulation. Their role is to motivate the common operator--spectrum--trace/determinant--comparison architecture used across the TEBAC programme. This version does not claim a laboratory realization of a physical TEBAC portal, a physical 9D/13D geometry on quantum hardware, or a remote IBM/Google hardware backend result. It reports a local NumPy and Qiskit Aer execution and provides a hardware-ready path toward future cloud-backend experiments.
This preprint presents a unified entanglement-focused extension of Brane-Slide Cosmology. The central claim is that selected entanglement phenomena may be interpreted as the 4D projection of transient higher-dimensional brane-contact events. The manuscript develops the framework in a structured form: conceptual motivation, explicit axioms, effective equations, an effective 5D-to-4D Bell-sector construction, a geometric decoherence channel, comparison with ER=EPR, and a falsification-oriented prediction set. The distinctive technical claim of the manuscript is not that standard quantum mechanics is replaced, but that under the brane-contact hypothesis a separate geometric contribution to decoherence appears in addition to ordinary environmental decoherence. In the effective limit discussed here, that residual channel scales with the gradient of the local gravitational environment rather than with its magnitude. The document is written as a self-contained, timestamped research preprint and priority record. It is not presented as a peer-reviewed journal article. Its purpose is to place the framework, its mathematical structure, and its falsifiable predictions into the public record in a single integrated form. Main topics: transient brane contact, quantum entanglement, Bell correlations, geometric decoherence, braneworld geometry, ER=EPR comparison, and experimental falsification criteria.
Orbital angular momentum (OAM) is one of the most recently discovered properties of light, and it is only in the past decade its quantum properties have been the subject of experimental investigations and have found applications. Unlike polarization, which is only bidimensional, orbital angular momentum provides, with relative ease, unprecedented access to a theoretically unbounded discrete state space. The process of spontaneous parametric down-conversion has long been used as a source of two-photon states that can be entangled in several degrees of freedom, including OAM. In this thesis, the properties of the natural OAM spectrum associated with the entangled states produced by parametric down-conversion were investigated. Chapters 2 and 3 describe the production and detection of tunable high-dimensional OAM entanglement in a down-conversion system. By tuning the phase-matching conditions and improving the detection stage, a substantial increase in the half-width of the OAM correlation spectrum was observed. The conjugate variable of OAM, angular position, was also considered when examining high-dimensional states entangled in OAM. In order to efficiently determine their dimension, high-dimensional entangled states were probed by implementing a technique based on phase masks composed of multiple angular sectors, as opposed to narrow single-sector analysers. Presented in chapter 4, this technique allows the measurements of tight angular correlations while maintaining high optical throughput. The states so produced were then used for a number of applications centred around the concept of mutually unbiased bases. One can define sets of mutually unbiased bases for arbitrary subspaces of the OAM state space. Two bases are mutually unbiased if the measurement of a state in one basis provides no information about the state as described in the other basis. Complete measurements in mutually unbiased bases of high-dimensional OAM spaces are presented in chapter 5. Measurements in sets of mutually unbiased bases are integral to quantum science and can be used in a variety of protocols that fully exploit the large size of the OAM state space; we describe their use in efficient quantum state tomography, quantum key distribution and entanglement detection. Caution is however necessary when dealing with state spaces embedded in higher-dimensional spaces, such as that provided by OAM. Experimental tests of Bell-type inequalities allow us to rule out local hidden variable theories in the description of quantum correlations. Correlations inconsistent with the states observed, or even with quantum mechanics, known as super-quantum correlations, have however been recorded previously in experiments that fail to comply with the fair-sampling conditions. Chapter 6 describes an experiment that uses a particular choice of transverse spatial modes for which super-quantum correlations persist even if the detection is made perfectly efficient. The sets of modes carrying OAM allow a complete description of the transverse field. The ability to control and combine additional degrees of freedom provides the possibility for richer varieties of entanglement and can make quantum protocols more powerful and versatile. One such property of light, associated with transverse modes possessing radial nodes in the field distribution, can be accessed within the same type of experimental apparatus used for OAM. In chapter 7, the radial degree of freedom is explored, together with OAM, in the context of Hong-Ou-Mandel interference.
Experimental Signatures and Falsifiability of Phase Ontology: How a Phase-Primary Framework Can Be Tested (Phase Ontology — Part VII) completes the Phase Ontology series by translating its core claims into concrete, falsifiable expectations. While Parts I–VI argue that phase coherence is physically real and that spacetime is an emergent projection of stable phase relations, this paper makes the scientific demand explicit: the framework must constrain what should be observed in the laboratory—not merely reinterpret existing results. The paper outlines a set of testable signatures that should appear if measurement is genuinely a phase-locking process, if coherence is a physical resource that can be preserved or dispersed, and if detectors and environments are active material participants rather than generic sources of noise. Key experimental arenas include: (1) detector-dependent phase-locking thresholds (e.g., interferometry where small, controlled detector-material changes produce disproportionate shifts in localization/fringe behavior), (2) coherence capacity and delayed classicality (engineered environments that produce non-linear regime changes rather than only smooth decoherence), (3) entanglement under structured phase environments (sensitivity to structured phase modulation beyond standard loss/noise parameters), (4) precision clocks as phase probes (searching for residual coherence-environment dependencies beyond known systematics), and (5) macroscopic coherence bridge regimes in superconducting and mesoscopic networks where topology and coupling geometry should matter in structured ways. Crucially, the paper states what falsification would look like in practice: if across multiple platforms detector variations yield no structured threshold effects, coherence isolation produces only fully predictable smooth behavior, entanglement responds solely to standard channel parameters, and precision clocks show no reproducible residual coherence-structure dependence, then Phase Ontology remains an interpretation but loses its claim to be an empirically distinct physical framework. A staged experimental program is proposed, moving from tabletop interferometry to progressively more demanding coherence and clock tests.
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.