The Compact Fiber as the Canonical Admissibility Structure for Discrete Scalar Motion ("Paper I")
The Compact Fiber as the Canonical Admissibility Structure for Discrete Scalar Motion: A Necessity Result for the Reciprocal System.
This paper derives the compact admissibility structure appropriate to the stable local material regime of discrete scalar motion. Its central claim is a necessity claim rather than a phenomenological fit claim: once the relevant closure, covering, and stability conditions of the stable local regime are imposed, the compact fiber is not a convenient model choice but the canonical admissibility structure.
The result is intended as a foundational paper for later atomic and effective-quantum developments within the stable local regime. It does not claim that all scalar-motion regimes, including earlier or less structured regimes such as radiation, must instantiate the same full compact local carrier in the same way.
Atomic Structure from the Compact Fiber: Transport, Screening, and Spectroscopic Thresholds in the Reciprocal System ("Paper II")
Atomic Structure from the Compact Fiber: Transport, Screening, and Spectroscopic Thresholds in the Reciprocal System.
This paper develops the first major physical application of the compact fiber established in the companion foundational paper. Its primary result is the Class II screening classification: all 11 screening slopes and intercepts for ionization energy, electron affinity, fine-structure splitting, and electric polarizability are generated mechanically from the compact fiber’s transport and readout geometry, with zero per-element fitted parameters.
Building on this classification, the paper develops a Class I restoration-depth law, a time-region / Kustaanheimo–Stiefel bridge recovering the hydrogen Rydberg spectrum, and a quantum-defect threshold that reproduces the periodic-table group structure. In the mature core, the framework produces about 95 atom-observable comparisons at about 5.7% weighted mean absolute error against NIST data. One global normalization constant remains open.
Effective Quantum and Gravitational Structure from the Compact Fiber: Cross-Frame Projection, Hilbert Representation, Born Rule, and Coordinate-Time Metric ("Paper III")
This paper develops an effective quantum and gravitational representational layer from the compact fiber Z/4Z × Z/4Z × Z/8Z and its degree-2 covering map, previously derived from discrete scalar-motion postulates. It argues that core structures usually treated as primitive in standard quantum mechanics—complex amplitudes, inner product, Born-rule probabilities, effective Hilbert space, superposition, entanglement, Bell correlations, and the measurement projection structure—can instead be derived as representational consequences of the compact carrier and cross-frame projection. The paper also develops a parallel gravitational program in which an effective coordinate-time metric is obtained from reciprocal partition of gravitational potential, reproducing the first-order PPN values beta = gamma = 1, the equivalence principle, and the four classical Solar System tests, while identifying second-order departures from general relativity as empirical discriminators. The manuscript explicitly audits which ingredients are derived, which are imported mathematical tools, which are interpretive identifications, and which remain open formalization tasks. A quantitative anchor is provided through the 87Rb Rydberg Förster-resonance regime, where the framework reproduces the observed R^-3 interaction scaling and the reported C3 scale to within the stated accuracy.
Radiation from the Compact Fiber: A Unified Architecture for Polarization, Interference, Correlation, Topology, and Radiation-Matter Transfer
Radiation from the Compact Fiber develops the radiation sector of the compact-fiber framework as a unified benchmark architecture rather than a collection of disconnected phenomenon-specific models. The paper shows how one radiation-side structural hierarchy, together with the previously established representational/readout layer, recovers a broad benchmark class including polarization, single-photon interference, Bell polarization correlation, Hong–Ou–Mandel bunching, orbital-angular structure, and the photoelectric event architecture. It also states the associated scaling bridge between recurrence-based natural content and conventional energy–frequency units.
The central claim is not that all radiation physics is completed here, but that within the stated benchmark regime, these phenomena can be recovered with fewer independent starting assumptions and greater structural continuity than in the usual compartmentalized treatments. The paper introduces a reusable radiation network calculus, derives the Bell opposed-pair state from an opposition condition rather than positing it, treats HOM bunching through explicit two-photon cancellation, derives integer angular quantization from coherent closure on a compact transverse cycle, and models photoelectric emission as a per-mode radiation–matter transfer event. Claim strength is stated explicitly throughout, with boundaries and exclusions recorded to keep the scope disciplined.
Finite Readout Representations and Matching Corrections from the Compact Fiber
This paper develops a finite readout and matching protocol for the compact fiber
F = Z_4^{m_1} × Z_4^{m_2} × Z_8^e.
The first part formalizes the compact fiber as a finite character/readout object by passing to its character group F̂ = Hom(F,U(1)). The two Z_4 factors define finite magnetic character sectors, while the Z_8 factor defines the finite electric character sector. The degree-two cover Z_8 → Z_4 identifies direct magnetic-base compatibility with even electric characters and gives odd electric characters a deck-parity interpretation.
The main finite-layer result is the Character-Readout Classification Theorem. It shows that recurring compact-fiber factors such as 1/8, 1/4, 7/8, 1/32, and 128 arise as projections, complements, product-sector resolutions, or full character counts. The cover-mediated factor 1/16 is fixed once a readout is assigned to the degree-two electric cover class. The paper also proves a finite character conservation rule for closed internal finite-sector couplings and recasts the radiation-paper OAM parity rule as a cover-compatibility statement.
The second part applies the same status discipline to an elementary natural-unit mass-to-energy bridge. The bridge is represented as a single source-to-target traversal from a completed two-dimensional secondary-mass source to an energy/readout target. This fixes the typed package s = m + e_∂. Using the Larson–Nehru interregional and secondary-mass bridge-layer rules, the electric boundary contribution is reconstructed as
e_∂ = e = (1/|F̂|)(1/9)(2/3) = 1/1728,
so the admissible elementary matching package is s = m + e.
The result is a no-retuning audit framework: a proposed factor must be a defined finite-character operation, a cover-conditional readout, a theorem-grade bridge result under stated premises, or an open term. Competing packages such as m, m + 2e + C, e − c, and e − C are rejected by readout class rather than by numerical fit.
Gravity-related:
Galactic Rotation from the Compact Fiber: The Gravitational Limit, R^16, and a Zero-Parameter Rotation-Curve Model
This release contains the paper "Galactic Rotation from the Compact Fiber: The Gravitational Limit, R^16, and a Zero-Parameter Rotation-Curve Model" and its accompanying reproducibility repository. It presents a structurally derived galactic rotation model from the compact-fiber / discrete-scalar-motion framework, together with the code, data pipeline, comparison models, scans, and analysis workflow used to generate the reported results.
The repository includes the RST nonlocal rotation-curve model, fixed-baseline MOND and DFT-B comparison models, SPARC-based evaluation across 171 galaxies, parameter and sensitivity scans, per-galaxy outputs, and scripts to reproduce the paper's headline tables and statistics from raw inputs.
The paper argues that the framework yields a specific zero-calibrated-parameter galactic rotation model with competitive performance against fixed MOND on the SPARC benchmark. This Zenodo release is intended as an open scholarly record of both the paper and the full supporting computational workflow.
Galactic Rotation from the Compact Fiber II: Structural Regime Split, Realized Coherence, and a Zero-Parameter Benchmark Improvement
This release contains the paper Galactic Rotation from the Compact Fiber II: Structural Regime Split, Realized Coherence, and a Zero-Parameter Benchmark Improvement and its accompanying reproducibility repository. It presents a second-stage compact-fiber galactic rotation model in which the original one-law formulation is extended by a structural regime split in realized galactic organization, together with the code, data pipeline, comparison models, scans, and analysis workflow used to generate the reported results.
The repository includes the frozen one-law compact-fiber baseline, the regime-split compact-fiber model, a fixed-baseline MOND comparison model, SPARC-based evaluation across 171 galaxies, threshold and transfer-family robustness scans, failure-cluster diagnostics, radial-acceleration-relation analysis, per-galaxy outputs, and scripts to reproduce the paper’s headline tables, figures, and summary statistics from raw inputs.
The paper argues that the compact-fiber framework yields a zero-calibrated-parameter regime-split galactic rotation model that improves on both the frozen one-law baseline and a fixed MOND benchmark on the SPARC sample, while also exposing a specific structural trade-off in a subset of moderate spirals. This Zenodo release is intended as an open scholarly record of both the paper and the full supporting computational workflow.