cff-version: 1.2.0 message: "If you use OTOM, 3I-ATLAS, or source-linked research artifacts from this repository, please cite this repository and the listed source references." title: "OTOM: Object Tracing on Manifolds" type: software authors: - alias: "allaunthefox" repository-code: "https://github.com/allaunthefox/OTOM" url: "https://github.com/allaunthefox/OTOM" abstract: >- OTOM is a research stack for object tracing on manifolds, geometric compression, receipt-gated formalization, intrinsic system geometry, adaptive system mapping, and source-linked research artifacts. The 3I-ATLAS framing maps systems through Interfaces, Invariants, and Intelligence. keywords: - OTOM - 3I-ATLAS - manifold topology - interfaces - invariants - intelligence - geometric compression - spectral analysis - Raman spectroscopy - structured light - metasurfaces - nonlinear optics - third-harmonic generation - broken symmetry - optical chirality - spin-orbit interaction - Jones matrices - Poincare sphere - exceptional points - Cramer's rule - oriented volume - determinant geometry - Lorentz transformation - Lorentz group - Lorentzian geometry - rapidity - Minkowski metric - Lean 4 - formal verification references: - type: webpage title: "3I-ATLAS - Map your system: where it connects (Interfaces), what it guarantees (Invariants), how it responds (Intelligence)" url: "https://www.reddit.com/r/OpenSourceeAI/comments/1t1gxuo/3iatlas_map_your_system_where_it_connects/" notes: >- Reddit post supplied by the project author as the public source for the 3I-ATLAS formulation: Interfaces, Invariants, and Intelligence. Live page details were not independently verified in this commit environment. - type: webpage title: "Geometric meaning of Cramer's rule for a 3x3 system" url: "https://www.reddit.com/r/LinearAlgebra/comments/1t2vd4m/geometric_meaning_of_cramers_rule_for_a_33_system/" notes: >- Reddit post supplied by the project author as a public explanatory source for Cramer's rule as an oriented-volume ratio over a shared reference face. Listed as a bounded linear-algebra/geometry source for the OTOM Cramer's-rule oriented-volume adapter; not validation of broader OTOM claims. Live page details were not independently verified in this commit environment. - type: article title: "On the Electrodynamics of Moving Bodies" authors: - family-names: "Einstein" given-names: "Albert" journal: "Annalen der Physik" year: 1905 volume: 17 pages: "891-921" doi: "10.1002/andp.19053221004" notes: >- Canonical special-relativity source for Lorentz transformations, relativity of simultaneity, and invariant light-speed framing. Listed as bounded physics/math reference for Lorentz-family adapters. - type: article title: "The Principle of Relativity" authors: - family-names: "Poincare" given-names: "Henri" journal: "Rendiconti del Circolo Matematico di Palermo" year: 1906 volume: 21 pages: "129-176" doi: "10.1007/BF03013466" notes: >- Canonical historical source for Lorentz group structure and relativity principle. Listed as bounded reference for group-theoretic Lorentz variants. - type: book title: "Space-Time-Matter" authors: - family-names: "Weyl" given-names: "Hermann" year: 1922 notes: >- Classical reference for spacetime geometry and relativistic invariance. Listed as bounded historical/geometric source for Lorentzian framing. - type: book title: "The Classical Theory of Fields" authors: - family-names: "Landau" given-names: "L. D." - family-names: "Lifshitz" given-names: "E. M." year: 1975 notes: >- Standard physics reference for Lorentz covariance, tensors, fields, and relativistic dynamics. Listed as bounded source for Lorentz force and field tensor adapter distinctions. - type: book title: "Gravitation" authors: - family-names: "Misner" given-names: "Charles W." - family-names: "Thorne" given-names: "Kip S." - family-names: "Wheeler" given-names: "John Archibald" year: 1973 notes: >- Standard reference for Lorentzian geometry, tetrads/local Lorentz frames, and causal structure in general relativity. Listed as bounded source for local/global Lorentz adapter separation. - type: book title: "The Geometry of Minkowski Spacetime" authors: - family-names: "Naber" given-names: "Gregory L." year: 1992 notes: >- Mathematical reference for Minkowski spacetime, Lorentz group geometry, causal structure, and related representations. Listed as bounded source for Lorentz-family adapter taxonomy. - type: webpage title: "Instant Raman" url: "https://shekhardul.github.io/raman-instant/" notes: >- Separate web tool supplied by the project author for Raman spectral analysis. The screenshot supplied by the project author shows spectral data ingestion, auto cosmic ray removal, silicon calibration check, raw spectrum display, baseline display, and an analysis workflow. It is listed as an independent source/tool reference, not as part of the 3I-ATLAS post. Live page details were not independently verified in this commit environment. - type: article title: "Topological control of chirality and spin with structured light" authors: - family-names: "Mkhumbuza" given-names: "Light" - family-names: "Ornelas" given-names: "Pedro" - family-names: "Dudley" given-names: "Angela" - family-names: "Nape" given-names: "Isaac" - family-names: "Forbes" given-names: "Kayn A." journal: "Light: Science & Applications" year: 2026 volume: 15 issue: 214 doi: "10.1038/s41377-026-02278-6" url: "https://doi.org/10.1038/s41377-026-02278-6" notes: >- Uploaded PDF supplied by the project author. Listed as a bounded optics-domain source for topology-controlled structured light, optical chirality, and spin-orbit interaction; not validation of broader non-optical OTOM claims. - type: article title: "Multifunctional metasurfaces enabled by simultaneous and independent control of phase and amplitude for orthogonal polarization states" authors: - family-names: "Liu" given-names: "Mingze" - family-names: "Zhu" given-names: "Wenqi" - family-names: "Huo" given-names: "Pengcheng" - family-names: "Feng" given-names: "Lei" - family-names: "Song" given-names: "Maowen" - family-names: "Zhang" given-names: "Cheng" - family-names: "Chen" given-names: "Lu" - family-names: "Lezec" given-names: "Henri J." - family-names: "Lu" given-names: "Yanqing" - family-names: "Agrawal" given-names: "Amit" - family-names: "Xu" given-names: "Ting" journal: "Light: Science & Applications" year: 2021 volume: 10 issue: 107 doi: "10.1038/s41377-021-00552-3" url: "https://doi.org/10.1038/s41377-021-00552-3" notes: >- Bounded optics-domain source for metasurface Jones-matrix control of independent amplitude and phase for two orthogonal polarization states. - type: article title: "Free-standing bilayer metasurfaces in the visible" authors: - family-names: "Dorrah" given-names: "Ahmed H." - family-names: "Park" given-names: "Joon-Suh" - family-names: "Palmieri" given-names: "Alfonso" - family-names: "Capasso" given-names: "Federico" journal: "Nature Communications" year: 2025 volume: 16 issue: 3126 doi: "10.1038/s41467-025-58205-7" url: "https://doi.org/10.1038/s41467-025-58205-7" notes: >- Bounded optics-domain source for bilayer metasurface composition and geometric phase control in visible free-standing TiO2 nanofin stacks. - type: article title: "Creating pairs of exceptional points for arbitrary polarization control: asymmetric vectorial wavefront modulation" authors: - family-names: "Yang" given-names: "Zijin" - family-names: "Huang" given-names: "Po-Sheng" - family-names: "Lin" given-names: "Yu-Tsung" - family-names: "Qin" given-names: "Haoye" - family-names: "Zuniga-Perez" given-names: "Jesus" - family-names: "Shi" given-names: "Yuzhi" - family-names: "Wang" given-names: "Zhanshan" - family-names: "Cheng" given-names: "Xinbin" - family-names: "Tang" given-names: "Man-Chung" - family-names: "Han" given-names: "Sanyang" - family-names: "Kante" given-names: "Boubacar" - family-names: "Li" given-names: "Bo" - family-names: "Wu" given-names: "Pin Chieh" - family-names: "Genevet" given-names: "Patrice" - family-names: "Song" given-names: "Qinghua" journal: "Nature Communications" year: 2024 volume: 15 issue: 232 doi: "10.1038/s41467-023-44428-z" url: "https://doi.org/10.1038/s41467-023-44428-z" notes: >- Bounded optics-domain source for exceptional-point pairs, asymmetric circular-polarization conversion, and PB phase control. - type: article title: "Exploiting hidden singularity on the surface of the Poincare sphere" authors: - family-names: "Li" given-names: "Jinxing" - family-names: "Jana" given-names: "Aloke" - family-names: "Yuan" given-names: "Yueyi" - family-names: "Zhang" given-names: "Kuang" - family-names: "Burokur" given-names: "Shah Nawaz" - family-names: "Genevet" given-names: "Patrice" journal: "Nature Communications" year: 2025 volume: 16 issue: 5953 doi: "10.1038/s41467-025-60956-2" url: "https://doi.org/10.1038/s41467-025-60956-2" notes: >- Bounded optics-domain source for co-polarized singular phase, Jones/Poincare sphere evolution, and hidden singularity phase circulation. - type: article title: "Bilayer optical metasurfaces with multiple broken symmetries for nonlinear wavelength generation" authors: - family-names: "Zheng" given-names: "Yuruo" - family-names: "Barati Sedeh" given-names: "H." - family-names: "Ji" given-names: "Yaoyang" - family-names: "Feng" given-names: "Liang" - family-names: "Vincenti" given-names: "M." - family-names: "Scalora" given-names: "Michael" - family-names: "Litchinitser" given-names: "N." journal: "npj Metamaterials" year: 2026 volume: 2 issue: 6 doi: "10.1038/s44455-025-00016-3" url: "https://doi.org/10.1038/s44455-025-00016-3" notes: >- Bounded optics-domain source for double-layer metasurfaces with vertical and horizontal broken symmetries enabling enhanced third-harmonic generation through photonic-crystal effects and coupled guided-mode resonances.