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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.
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