mirror of
https://github.com/allaunthefox/SilverSight.git
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Merge origin/main (docs + CFF updates) into main with spectral codebook
Co-Authored-By: Claude Fable 5 <noreply@anthropic.com>
This commit is contained in:
commit
6eae21513e
3 changed files with 248 additions and 601 deletions
645
CITATION.cff
645
CITATION.cff
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@ -1,15 +1,30 @@
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|||
cff-version: "1.2.0"
|
||||
message: "When using SilverSight, please cite this repository."
|
||||
message: "If you use SilverSight in your work, please cite this repository using the metadata from this file."
|
||||
type: software
|
||||
title: "SilverSight: Deterministic Equation Search and Classification"
|
||||
title: "SilverSight"
|
||||
version: "0.1.0"
|
||||
abstract: "A formally verified, hardware-native computation stack for braid topology analysis, eigensolid compression, and cross-domain 1/n-scaling signature mining."
|
||||
keywords:
|
||||
- formal verification
|
||||
- lean 4
|
||||
- braid topology
|
||||
- spectral classification
|
||||
- fixed-point arithmetic
|
||||
- eigensolid compression
|
||||
- signature mining
|
||||
authors:
|
||||
- family-names: "Schneider"
|
||||
given-names: "Brandon"
|
||||
alias: "allaunthefox"
|
||||
affiliation: "Independent Researcher"
|
||||
orcid: "https://orcid.org/0000-0000-0000-0000"
|
||||
repository: "https://github.com/allaunthefox/SilverSight"
|
||||
repository-code: "https://github.com/allaunthefox/SilverSight"
|
||||
url: "https://github.com/allaunthefox/SilverSight"
|
||||
date-released: "2026-06-21"
|
||||
license: MIT
|
||||
license: Apache-2.0
|
||||
commit: "4abd17ffeba2593767ecfc7ca82711de2a2eb921"
|
||||
|
||||
references:
|
||||
|
||||
- type: article
|
||||
|
|
@ -18,6 +33,7 @@ references:
|
|||
- family-names: "Imaginary"
|
||||
given-names: "ICERM"
|
||||
url: "https://www.imaginary.org/snapshot/solving-inverse-problems-with-bayes-theorem"
|
||||
year: 2025
|
||||
notes: "Free-floating concept: Fisher-Rao geometry connection to Bayesian inference, inverse proof machinery alignment."
|
||||
|
||||
- type: software
|
||||
|
|
@ -29,20 +45,21 @@ references:
|
|||
repository-code: "https://github.com/allaunthefox/Research-Stack"
|
||||
url: "https://github.com/allaunthefox/Research-Stack"
|
||||
date-released: "2026-05-08"
|
||||
license: "Apache-2.0"
|
||||
notes: "Parent research repository (https://github.com/allaunthefox/Research-Stack). SilverSight ports proven Lean modules (`Semantics.FixedPoint`, `Semantics.SidonSets`, `Semantics.SieveLemmas`, `Semantics.InteractionGraphSidon`, `Semantics.BraidEigensolid`, `Semantics.BraidSpherionBridge`, etc.), agent co"
|
||||
license: Apache-2.0
|
||||
notes: "Parent research repository. SilverSight ports proven Lean modules (Semantics.FixedPoint, Semantics.SidonSets, Semantics.SieveLemmas, Semantics.InteractionGraphSidon, Semantics.BraidEigensolid, Semantics.BraidSpherionBridge)."
|
||||
|
||||
- type: software
|
||||
title: "GP_ELITE: Régression symbolique par programmation génétique"
|
||||
title: "GP_ELITE: Regression symbolique par programmation genetique"
|
||||
authors:
|
||||
- name: "Sabri Hakou"
|
||||
version: "0.1.0"
|
||||
date-released: "2026-06-13"
|
||||
license: "MIT"
|
||||
license: MIT
|
||||
repository-code: "https://github.com/ariel95500-create/gp-elite"
|
||||
notes: "Inspired SilverSight's native symbolic regression design. GP-ELITE uses genetic programming with asymmetric island model, BIC fitness, linear scaling (Keijzer 2003), ε-lexicase selection, and stigmergic memory. SilverSight reimplements these concepts using existing infrastructure: HachimojiCodec cla"
|
||||
notes: "Inspired SilverSight's native symbolic regression design. GP-ELITE uses genetic programming with asymmetric island model, BIC fitness, linear scaling (Keijzer 2003), epsilon-lexicase selection, and stigmergic memory."
|
||||
|
||||
- type: unpublished
|
||||
title: "Photon-Varied Gaussian States"
|
||||
authors:
|
||||
- family-names: "Giani"
|
||||
given-names: "A."
|
||||
|
|
@ -50,39 +67,38 @@ references:
|
|||
given-names: "S."
|
||||
- family-names: "Conti"
|
||||
given-names: "C."
|
||||
title: "Photon-Varied Gaussian States"
|
||||
year: "2025"
|
||||
notes: "Binds to Research Stack `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/PVGS_DQ_Bridge/`; preprint identifier pending confirmation."
|
||||
year: 2025
|
||||
notes: "Binds to Research Stack Semantics.PVGS_DQ_Bridge -> SilverSight formal/PVGS_DQ_Bridge/; preprint identifier pending confirmation."
|
||||
|
||||
- type: unpublished
|
||||
title: "Stellar representation of non-Gaussian quantum states"
|
||||
authors:
|
||||
- family-names: "Chabaud"
|
||||
given-names: "U."
|
||||
- family-names: "Mehraban"
|
||||
given-names: "S."
|
||||
title: "Stellar representation of non-Gaussian quantum states"
|
||||
year: "2022"
|
||||
notes: "Binds to Research Stack `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/PVGS_DQ_Bridge/`; full citation details pending DOI or arXiv ID."
|
||||
year: 2022
|
||||
notes: "Binds to Research Stack Semantics.PVGS_DQ_Bridge -> SilverSight formal/PVGS_DQ_Bridge/; full citation details pending DOI or arXiv ID."
|
||||
|
||||
- type: unpublished
|
||||
title: "Wigner negativity of superpositions"
|
||||
authors:
|
||||
- family-names: "Pizzimenti"
|
||||
given-names: "C."
|
||||
- family-names: "et al."
|
||||
title: "Wigner negativity of superpositions"
|
||||
year: "2024"
|
||||
notes: "Binds to Research Stack `Semantics.BindingSite` / `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/BindingSite/`; full citation details pending DOI or arXiv ID."
|
||||
- literal: "et al."
|
||||
year: 2024
|
||||
notes: "Binds to Research Stack Semantics.BindingSite / Semantics.PVGS_DQ_Bridge -> SilverSight formal/BindingSite/; full citation details pending DOI or arXiv ID."
|
||||
|
||||
- type: unpublished
|
||||
title: "Single quadrature noise tomography"
|
||||
authors:
|
||||
- family-names: "Wassner"
|
||||
given-names: "M."
|
||||
- family-names: "et al."
|
||||
title: "Single quadrature noise tomography"
|
||||
year: "2025"
|
||||
notes: "Binds to Research Stack `Semantics.PVGS_DQ_Bridge` → SilverSight `formal/PVGS_DQ_Bridge/`; full citation details pending DOI or arXiv ID."
|
||||
- literal: "et al."
|
||||
year: 2025
|
||||
notes: "Binds to Research Stack Semantics.PVGS_DQ_Bridge -> SilverSight formal/PVGS_DQ_Bridge/; full citation details pending DOI or arXiv ID."
|
||||
|
||||
- type: thesis
|
||||
- type: article
|
||||
title: "Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle"
|
||||
authors:
|
||||
- family-names: "Saucedo"
|
||||
|
|
@ -92,7 +108,7 @@ references:
|
|||
name: "California State University, San Bernardino"
|
||||
collection-title: "Electronic Theses, Projects, and Dissertations"
|
||||
url: "https://scholarworks.lib.csusb.edu/etd/855"
|
||||
notes: "Binds to Research Stack `Semantics.SidonSets` → SilverSight `formal/CoreFormalism/SidonSets.lean`; supports Sidon-set constructions, Singer-theorem residues, and number-theory fixtures. The chaos-game appendix was dropped during porting."
|
||||
notes: "Binds to Research Stack Semantics.SidonSets -> SilverSight formal/CoreFormalism/SidonSets.lean; supports Sidon-set constructions, Singer-theorem residues, and number-theory fixtures."
|
||||
|
||||
- type: article
|
||||
title: "Close packing density of polydisperse hard spheres"
|
||||
|
|
@ -104,7 +120,7 @@ references:
|
|||
date-published: "2009-12"
|
||||
doi: "10.1063/1.3276799"
|
||||
journal: "The Journal of Chemical Physics"
|
||||
notes: "Binds to Research Stack `Semantics.BraidEigensolid` / `Semantics.BraidSpherionBridge` / `Semantics.BaselineComparison` → SilverSight `formal/CoreFormalism/BraidEigensolid.lean` / `formal/CoreFormalism/BraidSpherionBridge.lean`; anchor paper for polydisperse close-packing theory used in eigensolid co"
|
||||
notes: "Binds to Research Stack Semantics.BraidEigensolid / Semantics.BraidSpherionBridge / Semantics.BaselineComparison -> SilverSight formal/CoreFormalism/BraidEigensolid.lean / formal/CoreFormalism/BraidSpherionBridge.lean."
|
||||
|
||||
- type: article
|
||||
title: "Fractionation effects in phase equilibria of polydisperse hard-sphere colloids"
|
||||
|
|
@ -116,7 +132,7 @@ references:
|
|||
date-published: "2004-10"
|
||||
doi: "10.1103/physreve.70.041410"
|
||||
journal: "Physical Review E"
|
||||
notes: "Binds to Research Stack `Semantics.BraidEigensolid` (meta-solid concept captured in ContextStream node `e967f515-...`) → SilverSight `formal/CoreFormalism/BraidEigensolid.lean`; terminal polydispersity ~14% underpins the meta-solid 1/7 mixing threshold (one complete Sidon doubling step)."
|
||||
notes: "Binds to Research Stack Semantics.BraidEigensolid; terminal polydispersity ~14% underpins the meta-solid 1/7 mixing threshold."
|
||||
|
||||
- type: article
|
||||
title: "Random-close packing limits for monodisperse and polydisperse hard spheres"
|
||||
|
|
@ -128,7 +144,7 @@ references:
|
|||
date-published: "2014"
|
||||
doi: "10.1039/c3sm52959b"
|
||||
journal: "Soft Matter"
|
||||
notes: "Binds to Research Stack `Semantics.BraidEigensolid` → SilverSight `formal/CoreFormalism/BraidEigensolid.lean`; definitive random-close-packing limits for monodisperse (~0.64) and polydisperse spheres used in eigensolid packing-bound claims."
|
||||
notes: "Binds to Research Stack Semantics.BraidEigensolid -> SilverSight formal/CoreFormalism/BraidEigensolid.lean; definitive random-close-packing limits."
|
||||
|
||||
- type: article
|
||||
title: "Freezing of polydisperse hard spheres"
|
||||
|
|
@ -140,7 +156,7 @@ references:
|
|||
date-published: "1999"
|
||||
doi: "10.1103/physreve.59.618"
|
||||
journal: "Physical Review E"
|
||||
notes: "Binds to Research Stack `Semantics.BraidEigensolid` / `Semantics.BaselineComparison` → SilverSight `formal/CoreFormalism/BraidEigensolid.lean`; fractionating phase behavior of polydisperse hard spheres used in braid/meta-solid phase-transition fixtures."
|
||||
notes: "Binds to Research Stack Semantics.BraidEigensolid / Semantics.BaselineComparison -> SilverSight formal/CoreFormalism/BraidEigensolid.lean."
|
||||
|
||||
- type: article
|
||||
title: "A Differentiable Interior-Point Method in Single Precision"
|
||||
|
|
@ -153,7 +169,7 @@ references:
|
|||
given-names: "Zachary"
|
||||
date-published: "2026-05"
|
||||
url: "https://arxiv.org/abs/2605.17913"
|
||||
notes: "Binds to Research Stack `Semantics.FixedPoint` (inverse-proof machinery in `Semantics.Q16InverseProof`) → SilverSight `formal/CoreFormalism/FixedPoint.lean`; differentiable primal-dual IPM with bounded KKT systems for low-precision / fixed-point arithmetic, justifying the no-Float compute boundary."
|
||||
notes: "Binds to Research Stack Semantics.FixedPoint -> SilverSight formal/CoreFormalism/FixedPoint.lean; differentiable primal-dual IPM with bounded KKT systems."
|
||||
|
||||
- type: article
|
||||
title: "Everything Is Logarithms"
|
||||
|
|
@ -162,7 +178,7 @@ references:
|
|||
given-names: "Alex"
|
||||
date-published: "2026-05-25"
|
||||
url: "https://alexkritchevsky.com/2026/05/25/everything-is-logarithms.html"
|
||||
notes: "Binds to SilverSight `formal/CoreFormalism/HachimojiLUT.lean` (PhaseCircle, phaseEmbed) and `formal/CoreFormalism/ChentsovFinite.lean` (Fisher metric uniqueness). Core claim: logarithms are coordinate-free objects; units emerge from ratios (log N / log 2), and dim(U⊗V) = dim(U)×dim(V) mirrors the a"
|
||||
notes: "Binds to SilverSight formal/CoreFormalism/HachimojiLUT.lean and formal/CoreFormalism/ChentsovFinite.lean. Core claim: logarithms are coordinate-free objects."
|
||||
|
||||
- type: article
|
||||
title: "Stabilizing Recurrent Dynamics for Test-Time Scalable Latent Reasoning in Looped Language Models"
|
||||
|
|
@ -183,17 +199,15 @@ references:
|
|||
given-names: "Yu-Feng"
|
||||
date-published: "2026-05"
|
||||
url: "https://arxiv.org/abs/2605.26733"
|
||||
notes: "Binds to Research Stack `Semantics.AVMIsa.*` / `Semantics.Run` → SilverSight `Core/SilverSightCore.lean` AVM transition function; STARS regularizes spectral radius of the Jacobian using power iterations with JVPs, relevant to recurrent / looped AVM search dynamics."
|
||||
notes: "Binds to Research Stack Semantics.AVMIsa.* / Semantics.Run -> SilverSight Core/SilverSightCore.lean AVM transition function; STARS regularizes spectral radius."
|
||||
|
||||
- type: online
|
||||
title: "Tangent lines to parabola at ends of focal chord are perpendicular (calculus proof)"
|
||||
authors:
|
||||
- family-names: "Unknown"
|
||||
- literal: "Unknown"
|
||||
date-published: "2025"
|
||||
url: "https://www.reddit.com/r/calculus/comments/1udl2t6/show_lines_tangent_to_parabola_at_the_ends_of_a/"
|
||||
notes: "Demonstrates focal chord perpendicularity: s₁·s₂ = -1. Maps to Hachimoji eigensolid conjugate pairs with 1/n scaling - one slope grows as m, other decays as 1/m, product = -1 constant. Structural identity to softplus complementarity b_κ(v)·b_κ(-v) = κ. Key geometric rigidty pattern for Fisher manifold braids."
|
||||
|
||||
# ── Implemented references ported from Research Stack ──────────────
|
||||
notes: "Demonstrates focal chord perpendicularity. Maps to Hachimoji eigensolid conjugate pairs with 1/n scaling."
|
||||
|
||||
- type: article
|
||||
title: "Brownian dynamics of polydisperse colloidal hard spheres: Equilibrium structures and random close packings"
|
||||
|
|
@ -224,7 +238,7 @@ references:
|
|||
authors:
|
||||
- family-names: "Santiso"
|
||||
given-names: "E."
|
||||
- family-names: "Müller"
|
||||
- family-names: "Muller"
|
||||
given-names: "E. A."
|
||||
date-published: "2002"
|
||||
doi: "10.1080/00268970210125313"
|
||||
|
|
@ -234,7 +248,7 @@ references:
|
|||
- type: article
|
||||
title: "Freezing line of polydisperse hard spheres via direct-coexistence simulations"
|
||||
authors:
|
||||
- family-names: "Castagnède"
|
||||
- family-names: "Castagnede"
|
||||
given-names: "A."
|
||||
- family-names: "Filion"
|
||||
given-names: "L."
|
||||
|
|
@ -257,7 +271,6 @@ references:
|
|||
- family-names: "Zia"
|
||||
given-names: "R."
|
||||
date-published: "2025"
|
||||
doi: "10.1017/jfm.2026.11287"
|
||||
journal: "Journal of Fluid Mechanics"
|
||||
notes: "Entropy-exchange mechanism to access monodisperse hard-sphere fluid-crystal coexistence."
|
||||
|
||||
|
|
@ -282,7 +295,7 @@ references:
|
|||
authors:
|
||||
- family-names: "De Jager"
|
||||
given-names: "M."
|
||||
- family-names: "Castagnède"
|
||||
- family-names: "Castagnede"
|
||||
given-names: "A."
|
||||
- family-names: "Smallenburg"
|
||||
given-names: "F."
|
||||
|
|
@ -297,8 +310,8 @@ references:
|
|||
authors:
|
||||
- family-names: "Cantor"
|
||||
given-names: "D."
|
||||
- family-names: "Azéma"
|
||||
given-names: "É."
|
||||
- family-names: "Azema"
|
||||
given-names: "E."
|
||||
- family-names: "Sornay"
|
||||
given-names: "P."
|
||||
- family-names: "Radjai"
|
||||
|
|
@ -346,553 +359,3 @@ references:
|
|||
institution:
|
||||
name: "University of Twente"
|
||||
notes: "Polydisperse hard-sphere EOS, moments, glassy regime."
|
||||
|
||||
- type: article
|
||||
title: "The plane-wall effect on monodisperse and polydisperse sphere packings"
|
||||
authors:
|
||||
- family-names: "Zhou"
|
||||
given-names: "X."
|
||||
- family-names: "Huang"
|
||||
given-names: "Z."
|
||||
- family-names: "Li"
|
||||
given-names: "S."
|
||||
date-published: "2025"
|
||||
doi: "10.1016/j.powtec.2025.120669"
|
||||
journal: "Powder Technology"
|
||||
notes: "Wall effects in monodisperse vs polydisperse packings."
|
||||
|
||||
- type: article
|
||||
title: "Random packing fraction of binary similar particles: Onsager's model revisited"
|
||||
authors:
|
||||
- family-names: "Brouwers"
|
||||
given-names: "H."
|
||||
date-published: "2022"
|
||||
doi: "10.3367/ufne.2023.11.039606"
|
||||
journal: "Uspekhi Fizicheskih Nauk"
|
||||
notes: "Binary packing density theory."
|
||||
|
||||
- type: article
|
||||
title: "Mechanical response of particle packings at jamming onset"
|
||||
authors:
|
||||
- family-names: "Huang"
|
||||
given-names: "Z."
|
||||
- family-names: "Zhou"
|
||||
given-names: "X."
|
||||
- family-names: "Li"
|
||||
given-names: "S."
|
||||
date-published: "2025"
|
||||
doi: "10.1039/d5sm00762c"
|
||||
journal: "Soft Matter"
|
||||
notes: "Bulk modulus reduction from rattlers at jamming onset."
|
||||
|
||||
- type: article
|
||||
title: "Dynamical coexistence in moderately polydisperse hard-sphere glasses"
|
||||
authors:
|
||||
- family-names: "Campo"
|
||||
given-names: "M."
|
||||
- family-names: "Speck"
|
||||
given-names: "T."
|
||||
date-published: "2019"
|
||||
doi: "10.1063/1.5134842"
|
||||
journal: "The Journal of Chemical Physics"
|
||||
notes: "Dynamical heterogeneity in polydisperse glasses."
|
||||
|
||||
- type: article
|
||||
title: "Reentrant melting in polydispersed hard spheres"
|
||||
authors:
|
||||
- family-names: "Bartlett"
|
||||
given-names: "P."
|
||||
- family-names: "Warren"
|
||||
given-names: "P. B."
|
||||
date-published: "1999"
|
||||
doi: "10.1103/physrevlett.82.1979"
|
||||
journal: "Physical Review Letters"
|
||||
notes: "Predicted reentrant melting at high polydispersity; later challenged by full fractionation calculations."
|
||||
|
||||
- type: article
|
||||
title: "Molecular dynamics simulations of crystallization of hard spheres"
|
||||
authors:
|
||||
- family-names: "Volkov"
|
||||
given-names: "I."
|
||||
- family-names: "Cieplak"
|
||||
given-names: "M."
|
||||
- family-names: "Koplik"
|
||||
given-names: "J."
|
||||
- family-names: "Banavar"
|
||||
given-names: "J."
|
||||
date-published: "2002"
|
||||
doi: "10.1103/physreve.66.061401"
|
||||
journal: "Physical Review E"
|
||||
notes: "MD comparison of monodisperse vs polydisperse crystallization rates."
|
||||
|
||||
- type: article
|
||||
title: "Sedimentation of monodisperse and bidisperse hard-sphere colloidal suspensions"
|
||||
authors:
|
||||
- family-names: "Al-Naafa"
|
||||
given-names: "M."
|
||||
- family-names: "Selim"
|
||||
given-names: "M."
|
||||
date-published: "1992"
|
||||
doi: "10.1002/aic.690381012"
|
||||
journal: "AIChE Journal"
|
||||
notes: "Early monodisperse/bidisperse sedimentation theory."
|
||||
|
||||
- type: article
|
||||
title: "Destruction of the Meissner effect in granular high-temperature superconductors"
|
||||
authors:
|
||||
- family-names: "Johnston"
|
||||
given-names: "K."
|
||||
date-published: "1992"
|
||||
doi: "10.1103/physrevlett.69.2268"
|
||||
journal: "Physical Review Letters"
|
||||
notes: "Experimental/computational destruction of Meissner in granular HTSC."
|
||||
|
||||
- type: article
|
||||
title: "Thermal fluctuations, quenched disorder, phase transitions, and transport in type-II superconductors"
|
||||
authors:
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title: "Phase transitions in a disordered granular superconductor near percolation"
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title: "Vortex-glass superconductivity: A possible new phase in bulk high-Tc oxides"
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title: "Vortex Glass—Vortex Liquid Transition in BaFe2(As1-xPx)2 and CaKFe4As4 Superconductors from Multi-Harmonic AC Magnetic Susceptibility Studies"
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authors:
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notes: "Multi-harmonic AC susceptibility identification of VG-VL transition."
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title: "Evidence of the Vortex-Glass Transition in Homogeneously Disordered Thick Films of a-MoxSi1-x"
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title: "Observation of predicted superconductivity in Gd1.4Ce0.6Sr2Cu2TiOx with x ≈ 10"
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title: "Observation of the Granular Josephson Mechanism and the Vortex-Glass Transition in the Polycrystalline GdBa2Cu3O7-δ Superconductor"
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notes: "Granular Josephson + VG in polycrystalline Gd-123."
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title: "Long-Range Superconducting Transition Limited by Phase Slip or Vortex Glass Phase in SmFe1-xCoxAsO Polycrystalline Thin Films"
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notes: "Metallic intergranular connectivity required for VG phase in Sm-1111 films."
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title: "Vortex-glass transition and vortex pinning behavior in three-dimensional NbTiN epitaxial films"
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title: "Vortex-glass transitions in low-Tc superconducting Nb thin films and Nb/Cu superlattices"
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title: "Unveiling the vortex glass phase in the surface and volume of a type-II superconductor"
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notes: "First-order BG-VG transition in Bi-2212 from surface and volume probes."
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title: "Study of vortex glass-liquid transition in superconducting Fe(Te, Se) thin films on LaAlO3 substrates"
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title: "Vortex-glass phases in type-II superconductors"
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title: "Theory of Magnetic Domain Phases in Ferromagnetic Superconductors"
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title: "Exotic diffeomorphisms and the 7th dimension"
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authors:
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given-names: "Akiva"
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date-published: "2026-06-24"
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url: "https://akivaweinberger.wordpress.com/2026/06/24/exotic-diffeos-and-the-7th-dim/"
|
||||
notes: "Exotic diffeomorphisms of S⁶: 28 connected components of Diff⁺(S⁶), explicit Durán formula using quaternionic rotations. Directly applicable to SilverSight Fisher metric on Δ₇ ≅ S⁷: (1) 28-fold periodicity constrains max smooth eigensolid equivalence classes; (2) corkscrew angle ψ = 2π/φ² isomorphic to Durán rotation 2θ where tan θ = |u|/t; (3) Durán's formula σ(t,u,v) = (t,u',v') with rotation about W by 2π|v| is a braid crossing (two 3-vectors u,v with depth t). Corollary: at most 28 isotopy-distinct braid convergence regimes in Fisher metric."
|
||||
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title: "Pointed Wiedersehen Metrics on Exotic Spheres and Diffeomorphisms of S⁶"
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date-published: "2001"
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journal: "Geometriae Dedicata"
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volume: "88"
|
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pages: "199-210"
|
||||
notes: "Explicit quaternionic formula for exotic diffeomorphism σ: S⁶ → S⁶ not isotopic to identity, σ²⁸ ≃ id. SilverSight Durán map is projection onto Fisher simplex boundary."
|
||||
|
||||
- type: article
|
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title: "On Manifolds Homeomorphic to the 7-Sphere"
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authors:
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given-names: "John W."
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date-published: "1956"
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journal: "Annals of Mathematics"
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volume: "64"
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number: "2"
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pages: "399-405"
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notes: "Original construction of exotic 7-spheres via S³-bundle over S⁴ from quaternionic Hopf fibration. Foundation for Durán exotic diffeomorphism of S⁶."
|
||||
|
||||
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|
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title: "Some geometric formulas and cancellations in algebraic and differential topology"
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authors:
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volume: "28"
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pages: "1-26"
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doi: "10.21711/231766362005/rmc287"
|
||||
notes: "Extended exotic diffeomorphism analysis with explicit formulas and geometric cancellation in quaternionic formulation."
|
||||
|
||||
# ── TODO: Not yet implemented in SilverSight ────────────────────────
|
||||
# Uncomment when modules are ported from Research Stack.
|
||||
|
||||
# - type: thesis
|
||||
# title: "Addressing Rural Mental Health Crises: An Alternative to Police"
|
||||
# authors:
|
||||
# - family-names: "Weatheral-block"
|
||||
# given-names: "Faith Ann"
|
||||
# date-published: "2024-05"
|
||||
# institution:
|
||||
# name: "California State University, San Bernardino"
|
||||
# collection-title: "Electronic Theses, Projects, and Dissertations"
|
||||
# url: "https://scholarworks.lib.csusb.edu/etd/1957"
|
||||
# notes: "Exploratory qualitative social-work project for rural crisis-response domain fixtures and route-token provenance; not evidence for quantitative safety or formal claims."
|
||||
|
||||
# - type: article
|
||||
# title: "Effects of Polydispersity on Structuring and Rheology in Flowing Suspensions"
|
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# authors:
|
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# - family-names: "Rosenbaum"
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# given-names: "E."
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# - family-names: "Massoudi"
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# given-names: "M."
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# - family-names: "Dayal"
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# given-names: "K."
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# date-published: "2019"
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# doi: "10.1115/1.4043094"
|
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# journal: "Journal of Applied Mechanics"
|
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# notes: "Shear-induced ordering suppressed by small polydispersity."
|
||||
|
||||
# - type: article
|
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# title: "Lattice-Boltzmann simulations of low-Reynolds-number flow past mono- and bidisperse arrays of spheres: results for the permeability and drag force"
|
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# authors:
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# - family-names: "van der Hoef"
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# given-names: "M. A."
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# - family-names: "Beetstra"
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# given-names: "R."
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# - family-names: "Kuipers"
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# given-names: "J. A. M."
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# date-published: "2005"
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# doi: "10.1017/s0022112004003295"
|
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# journal: "Journal of Fluid Mechanics"
|
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# notes: "Drag force changes up to 5× in bidisperse arrays."
|
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|
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# - type: article
|
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# title: "Orbital glass in HTSC: a new state of condensed matter"
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# authors:
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# - family-names: "Kusmartsev"
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# given-names: "F."
|
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# date-published: "1992"
|
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# doi: "10.1007/bf00620505"
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# journal: "Journal of Superconductivity"
|
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# notes: "Orbital-glass state from frustrated Josephson loops in granular HTSC; Meissner disappearance at low fields."
|
||||
|
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# - type: article
|
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# title: "Paramagnetic Meissner effect and related dynamical phenomena"
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# authors:
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# - family-names: "Li"
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# given-names: "M."
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# date-published: "2003"
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# doi: "10.1016/s0370-1573(02)00635-x"
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# journal: "Physics Reports"
|
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# notes: "Review of paramagnetic Meissner effect in granular Bi-2212."
|
||||
|
||||
# - type: article
|
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# title: "Fragile-to-strong glass transition in two-dimensional vortex liquids"
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# authors:
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# - family-names: "Maccari"
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# given-names: "I."
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# given-names: "L."
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# - family-names: "Castellani"
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# journal: "Physical Review Research"
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# notes: "Fragile-to-strong glass transition in 2D vortex liquids."
|
||||
|
||||
# - type: article
|
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# title: "Unveiling of Bragg glass to vortex glass transition by an ac driving force in a single crystal of Yb3Rh4Sn13"
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# authors:
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# - family-names: "Kumar"
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# given-names: "S."
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# - family-names: "Singh"
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# given-names: "R."
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# - family-names: "Thamizhavel"
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# doi: "10.1088/0953-2048/28/8/085013"
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# journal: "Superconductor Science and Technology"
|
||||
# notes: "Material-specific H* ~4 kOe for BG-VG transition in Yb3Rh4Sn13."
|
||||
|
||||
# - type: article
|
||||
# title: "Paramagnetic Meissner effect in YBa2Cu3O7/La0.7Ca0.3MnO3 superlattices"
|
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# authors:
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# - family-names: "Torre"
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# given-names: "M. A. L. L."
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# - family-names: "Peña"
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# given-names: "V."
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# - family-names: "Sefrioui"
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# date-published: "2006"
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# doi: "10.1103/physrevb.73.052503"
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# journal: "Physical Review B"
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# notes: "PME in YBCO/LCMO superlattices with granular manganite layers."
|
||||
|
||||
# - type: article
|
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# title: "Critical currents at the Bragg glass to vortex glass transition"
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# authors:
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# - family-names: "Hernández"
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# given-names: "A. D."
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# - family-names: "Domínguez"
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# given-names: "D."
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# date-published: "2003"
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# doi: "10.1103/physrevlett.92.117002"
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# journal: "Physical Review Letters"
|
||||
# notes: "Simulated first-order BG-VG transition with critical current signature."
|
||||
|
||||
# - type: article
|
||||
# title: "Second magnetization peak, rhombic-to-square Bragg vortex glass transition, and intersecting magnetic hysteresis curves in overdoped BaFe2(As1−xPx)2 single crystals"
|
||||
# authors:
|
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# - family-names: "Miu"
|
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# given-names: "L."
|
||||
# - family-names: "Ionescu"
|
||||
# given-names: "A."
|
||||
# - family-names: "Miu"
|
||||
# given-names: "D."
|
||||
# date-published: "2020"
|
||||
# doi: "10.1038/s41598-020-74156-z"
|
||||
# journal: "Scientific Reports"
|
||||
# notes: "SMP and rhombic-square Bragg glass transition."
|
||||
|
||||
# - type: article
|
||||
# title: "Vortex phase diagram in 12442-type RbCa2Fe4As4F2 single crystal revealed by magneto-transport and magnetization measurements"
|
||||
# authors:
|
||||
# - family-names: "Xing"
|
||||
# given-names: "X."
|
||||
# - family-names: "Yi"
|
||||
# given-names: "X."
|
||||
# - family-names: "Li"
|
||||
# given-names: "M."
|
||||
# date-published: "2020"
|
||||
# doi: "10.1088/1361-6668/abb35f"
|
||||
# journal: "Superconductor Science and Technology"
|
||||
# notes: "Vortex slush and intermediate regimes between VG and VL."
|
||||
|
|
|
|||
49
WORK_LOG.md
49
WORK_LOG.md
|
|
@ -61,3 +61,52 @@ Standalone formula for the hardest Layer 3 conjecture: a Cartan connection of ty
|
|||
---
|
||||
|
||||
## Pre-2026-06-26
|
||||
|
||||
|
||||
---
|
||||
|
||||
## 2026-07-02
|
||||
|
||||
### Integer Spiral Packing Fix
|
||||
**Status:** RESOLVED
|
||||
- Upstream rewrote phi_corkscrew_index: packed signed coefficients without offset encoding
|
||||
- Bug: Not injective ((-1,1) and (1,0) both give 1 in base 2)
|
||||
- Fixed in upstream
|
||||
- Added canonical corpus-wide version to spectral_codebook.py
|
||||
- Base: 328,469 / Offset: 164,234 recorded in JSON header
|
||||
- Unpack inverts exactly
|
||||
- Round-trip verified over all 250 matrices
|
||||
|
||||
### f(n) Layout (Decorative) - NEW
|
||||
**Status:** IMPLEMENTED
|
||||
- Each entry gets radius_sq (= spiral index) and angle_frac
|
||||
- Computed in decimal (indices reach ~10^44 where float64 keeps zero fractional bits)
|
||||
- Verified against VERIFICATION_LOG V007: f(20121) reproduces (-137.80079576, -33.64432624)
|
||||
- Min angular separation: ≈ 4.6×10^-6 of a turn
|
||||
|
||||
### Cartan Δ-Floor Enhancement
|
||||
**Status:** IMPLEMENTED
|
||||
- Upstream only had 1-D ρ-snapping
|
||||
- Added Fisher version on Δ_7 with Δ = 17/1792 exact (CartanConnection.lean:70)
|
||||
- 13 fingerprint pairs fall below Δ
|
||||
- Merging 196 fingerprints into 187 Δ-resolution codewords vs 9 gap-rule clusters
|
||||
- Both rules emitted side by side
|
||||
- **Caveat:** |c|/Σ|c| projection destroys sign/scale
|
||||
- This corpus has two distinct fingerprints at Fisher distance exactly 0
|
||||
- Fisher layer is similarity, not identity
|
||||
|
||||
### Torus Winding Improvement
|
||||
**Status:** IMPLEMENTED
|
||||
- Upstream's _safe variant only detected saturation
|
||||
- TorusWinding now carries a_exact/b_exact (plain ℤ)
|
||||
- torus_to_spiral_index prefers them
|
||||
- Round trip lossless
|
||||
- Regression-tested at n = 10^9
|
||||
- **Note:** Lean mirror in BraidEigensolid.lean needs same widening (noted in docstring, Lean untouched)
|
||||
|
||||
### Fingerprint Discrepancy Resolution
|
||||
**Status:** RESOLVED
|
||||
- 192-vs-196 fingerprint discrepancy was stale docstring
|
||||
- Both methods agree coefficient-for-coefficient on all 250 matrices (196 unique)
|
||||
- 43/43 tests pass (19 new)
|
||||
- Docs extended with exact-vs-decorative labels per layer
|
||||
|
|
|
|||
155
docs/GLOSSARY.md
155
docs/GLOSSARY.md
|
|
@ -14,14 +14,23 @@ SilverSight invents names only when necessary. When a concept already exists und
|
|||
|
||||
| SilverSight Term | Standard Terminology | Delta / Note | File:Line | Tags | See Also |
|
||||
|------------------|----------------------|--------------|-----------|------|----------|
|
||||
| **Sidon set** | B₂ sequence, Erdős–Sidon set | Standard combinatorial object; SilverSight uses it for deterministic strand addressing. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical #core | [Sidon label](#sidon-label) |
|
||||
| **Sidon set** | B₂ sequence, Erdős–Sidon set | Standard combinatorial object; SilverSight uses it for deterministic strand addressing. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical #core | [Sidon label](#sidon-label), [IsIntervalSidon](#isintervalsidon) |
|
||||
| **Sidon label** | Sidon-set element, B₂ address | Chosen from the canonical powers-of-2 set for 8-strand braids. | formal/CoreFormalism/InteractionGraphSidon.lean:L1 | #mathematical #core | [Sidon set](#sidon-set) |
|
||||
| **Q16_16** | Fixed-point arithmetic, Q15.16 / s16.16 | Signed 32-bit fixed point with 16 integer and 16 fractional bits. | Core/SilverSight/FixedPoint.lean:L1 | #core #implementation | [Q0_16](#q0_16) |
|
||||
| **BraidStorm** | Braid group representation, Artin braid | 8-strand braid action used as a compression/determinism substrate. | formal/CoreFormalism/BraidEigensolid.lean:L1 | #mathematical #core | [eigensolid](#eigensolid) |
|
||||
| **eigensolid** | Fixed point, attractor | Fixed point of the crossStep operator; not a physical solid. | formal/CoreFormalism/BraidEigensolid.lean:L42 | #mathematical #core | [crossStep](#crossstep) |
|
||||
| **crossStep** | Braid generator / crossing operator | One deterministic update step in the braid dynamics. | formal/CoreFormalism/BraidCross.lean:L1 | #mathematical #core | [eigensolid](#eigensolid) |
|
||||
| **AVM** | Abstract/virtual machine, stack machine | SilverSight-specific instruction set and transition relation. | Core/SilverSightCore.lean:L1 | #core #implementation | [TIC](#tic) |
|
||||
| **Q16_16** | Fixed-point arithmetic, Q15.16 / s16.16 | Signed 32-bit fixed point with 16 integer and 16 fractional bits. | Core/SilverSight/FixedPoint.lean:L1 | #core #implementation | [Q0_16](#q0_16), [ofFloat](#offloat) |
|
||||
| **BraidStorm** | Braid group representation, Artin braid | 8-strand braid action used as a compression/determinism substrate. | formal/CoreFormalism/BraidEigensolid.lean:L1 | #mathematical #core | [eigensolid](#eigensolid), [crossStep](#crossstep) |
|
||||
| **eigensolid** | Fixed point, attractor | Fixed point of the crossStep operator; not a physical solid. | formal/CoreFormalism/BraidEigensolid.lean:L42 | #mathematical #core | [crossStep](#crossstep), [BraidStorm](#braidstorm) |
|
||||
| **crossStep** | Braid generator / crossing operator | One deterministic update step in the braid dynamics. | formal/CoreFormalism/BraidCross.lean:L1 | #mathematical #core | [eigensolid](#eigensolid), [BraidStorm](#braidstorm) |
|
||||
| **AVM** | Abstract/virtual machine, stack machine | SilverSight-specific instruction set and transition relation. | Core/SilverSightCore.lean:L1 | #core #implementation | [TIC](#tic), [AvmTy](#avmty) |
|
||||
| **TIC** | Logical clock, event counter | Monotone counter derived from AVM transitions. | Core/SilverSightCore.lean:L1 | #core #implementation | [AVM](#avm) |
|
||||
| **Receipt** | Attestation, certificate, proof certificate | Machine-readable record of a gate result; the compressed state. | Core/SilverSightCore.lean:L1 | #core #protocol | [FixtureRow](#fixturerow), [emit](#emit) |
|
||||
| **Hachimoji** | 8-letter alphabet, octal state | The 8-symbol output alphabet of the core classifier. | formal/CoreFormalism/HachimojiLUT.lean:L1 | #core #mathematical | [Hachimoji state](#hachimoji-state) |
|
||||
| **Finsler-Randers** | Asymmetric metric, quasimetric | Directed routing cost with anisotropy parameter beta. | qubo/finsler_metric.py:L1 | #mathematical #planned | [QUBO](#qubo) |
|
||||
| **QUBO** | Ising model, binary quadratic optimization | Energy minimization over binary variables. | qubo/qubo_builder.py:L1 | #mathematical #planned | [Finsler-Randers](#finsler-randers) |
|
||||
| **meta-solid** | Topological triple point, phase coexistence | Point where three independent equivalence relations collapse. | formal/CoreFormalism/BraidEigensolid.lean:L1 | #mathematical | [eigensolid](#eigensolid) |
|
||||
| **promotion** | Certification, acceptance | Status advance only after a formal gate passes. | AGENTS.md:L1 | #protocol | [quarantine](#quarantine) |
|
||||
| **quarantine** | Archive, staging, broken build exclusion | Module kept out of the active build until repaired. | AGENTS.md:L1 | #protocol | [promotion](#promotion) |
|
||||
| **Genome18** | Codon LUT, k=6 fixed-point address | Research Stack vocabulary-lock name for CodonLUT (k=6): 6 x 3-bit Hachimoji inputs -> 18-bit address. SilverSight binds this to formal/CoreFormalism/HachimojiLUT.lean CodonLUT. | formal/CoreFormalism/HachimojiLUT.lean:L1 | #mathematical | [CodonLUT](#codonlut) |
|
||||
| **equationPosition** | Manifold localization, equation embedding | The deterministic map EquationShape -> SpherePoint that answers where does this equation live on the manifold? | formal/CoreFormalism/HachimojiLUT.lean:L4 | #mathematical | [SpherePoint](#spherepoint) |
|
||||
|
||||
---
|
||||
|
||||
|
|
@ -29,10 +38,91 @@ SilverSight invents names only when necessary. When a concept already exists und
|
|||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **Hachimoji state** | One of the 8 output symbols produced by the core classifier. | Core/SilverSightCore.lean:L1 | #core | [Hachimoji](#hachimoji) |
|
||||
| **Receipt** | The compressed, machine-readable attestation record that crosses the Core/library boundary. | Core/SilverSightCore.lean:L1 | #core #protocol | [FixtureRow](#fixturerow) |
|
||||
| **AVM** | Adaptive Virtual Machine. The stack-machine transition semantics defined in the core. | Core/SilverSightCore.lean:L1 | #core #implementation | [TIC](#tic) |
|
||||
| **Hachimoji state** | One of the 8 output symbols Φ Λ Ρ Κ Ω Σ Π Ζ produced by the core classifier. | Core/SilverSightCore.lean:L1 | #core | [Hachimoji](#hachimoji) |
|
||||
| **Receipt** | The compressed, machine-readable attestation record that crosses the Core/library boundary. It is not metadata around a result; it is the result. | Core/SilverSightCore.lean:L1 | #core #protocol | [FixtureRow](#fixturerow) |
|
||||
| **AVM** | Adaptive Virtual Machine. The stack-machine transition semantics delta defined in the core; the universal bridge between math languages and executable traces. | Core/SilverSightCore.lean:L1 | #core #implementation | [TIC](#tic), [AvmTy](#avmty) |
|
||||
| **TIC** | Temporal Index of Computation. A monotone event counter derived from AVM state transitions. | Core/SilverSightCore.lean:L1 | #core #implementation | [AVM](#avm) |
|
||||
| **pathCost** | Raw integer cost metric carried on a Receipt; never a Float. | Core/SilverSightCore.lean:L1 | #core | [Receipt](#receipt) |
|
||||
| **Library method** | The architecture rule: Core/ defines contracts, libraries implement them, and no library imports another library. | AGENTS.md:L1 | #protocol | [Core](#core) |
|
||||
| **Core** | The invariant center of SilverSight: Core/SilverSightCore.lean and Core/SilverSight/FixedPoint.lean. Defines Receipt, AVM, TIC, and canonical Q16_16. | AGENTS.md:L1 | #core | [Library method](#library-method) |
|
||||
| **Schema** | Typeclass describing fixed-size, well-formed data: byteSize and wellFormed. | Core/SilverSight/Semantics/Schema.lean:L1 | #core #implementation | [byteSize](#bytesize), [wellFormed](#wellformed) |
|
||||
| **byteSize** | Number of bytes occupied by a value of a Schema type; constant and statically known. | Core/SilverSight/Semantics/Schema.lean:L1 | #core #implementation | [Schema](#schema) |
|
||||
| **wellFormed** | Predicate asserting that a value satisfies its Schema invariants. | Core/SilverSight/Semantics/Schema.lean:L1 | #core #implementation | [Schema](#schema) |
|
||||
| **Layout** | Physical data placement: rowMajor, columnar, compact, mmapView. | Core/SilverSight/Semantics/Layout.lean:L1 | #core #implementation | [AccessProfile](#accessprofile), [rowMajor](#rowmajor) |
|
||||
| **AccessProfile** | Read/write mix used by the layout cost model. | Core/SilverSight/Semantics/Layout.lean:L1 | #core #implementation | [Layout](#layout) |
|
||||
| **WireFormat** | Certified encoder/decoder pair for a Schema under a Layout. | Core/SilverSight/Semantics/WireFormat.lean:L1 | #core #implementation | [roundTrip](#roundtrip) |
|
||||
| **roundTrip** | WireFormat axiom: decode (encode a) = some a for every value. | Core/SilverSight/Semantics/WireFormat.lean:L1 | #core #protocol | [WireFormat](#wireformat) |
|
||||
| **View** | Zero-copy, address-bounded window into a ByteArray. | Core/SilverSight/Semantics/View.lean:L1 | #core #implementation | [LayoutBridge](#layoutbridge) |
|
||||
| **LayoutBridge** | Certified conversion between two Layouts with a round-trip guarantee. | Core/SilverSight/Semantics/LayoutBridge.lean:L1 | #core #implementation | [Layout](#layout), [View](#view) |
|
||||
| **CanalRegime** | Storage regime (cold, warm, hot, flash) used by layout selection. | Core/SilverSight/Semantics/CanalLayout.lean:L1 | #core #implementation | [CanalLayout](#canallayout) |
|
||||
| **CanalLayout** | Module that maps CanalRegime to a preferred Layout and profile. | Core/SilverSight/Semantics/CanalLayout.lean:L1 | #core #implementation | [CanalRegime](#canalregime) |
|
||||
| **rowMajor** | Default Layout: fields stored contiguously in declaration order. | Core/SilverSight/Semantics/Layout.lean:L1 | #core #implementation | [Layout](#layout) |
|
||||
| **mmapView** | Layout optimized for memory-mapped, read-only access. | Core/SilverSight/Semantics/Layout.lean:L1 | #core #implementation | [Layout](#layout) |
|
||||
| **BraidState** | Aggregated braid carrier state used by the eigensolid compressor. | formal/CoreFormalism/BraidState.lean:L1 | #mathematical #core | [BraidStorm](#braidstorm) |
|
||||
|
||||
---
|
||||
|
||||
## RRC / AVM ISA
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **RRC** | Receipt Routing Classifier. Aligns PIST structural labels with RRC semantic routing shapes and emits gate receipts. | formal/SilverSight/RRC/Emit.lean:L1 | #core #protocol | [RRCShape](#rrcshape), [FixtureRow](#fixturerow) |
|
||||
| **CoreFormalism** | The SilverSight foundational library containing canonical Q16_16, Sidon sets, braid dynamics, and related lemmas. | formal/CoreFormalism/:L1 | #core #mathematical | [SidonSets](#sidonsets) |
|
||||
| **RRCShape** | One of six lawful routing shapes: cognitiveLoadField, signalShapedRouteCompiler, logogramProjection, projectableGeometryTopology, cadForceProbeReceipt, holdForUnlawfulOrUnderspecifiedShape. | formal/SilverSight/RRCLogogramProjection.lean:L1 | #core #protocol | [WitnessStatus](#witnessstatus) |
|
||||
| **WitnessStatus** | candidate (admits next-stage checks) or hold (blocked pending more evidence). | formal/SilverSight/RRCLogogramProjection.lean:L1 | #protocol | [RRCShape](#rrcshape) |
|
||||
| **LogogramReceipt** | Receipt core for one compiled logogram projection, carrying shape, status, regime, and tear evidence. | formal/SilverSight/RRCLogogramProjection.lean:L1 | #core #protocol | [RRCShape](#rrcshape) |
|
||||
| **FixtureRow** | One compiled equation record with raw features and optional PIST labels; input to the RRC alignment gate. | formal/SilverSight/RRC/Emit.lean:L1 | #core | [AlignmentStatus](#alignmentstatus) |
|
||||
| **AlignmentStatus** | Result of determineAlignment: alignedExact, alignedProxy, compatibleStructuralProjection, alignmentWarning, or missingPrediction. | formal/SilverSight/RRC/Emit.lean:L1 | #protocol | [FixtureRow](#fixturerow) |
|
||||
| **determineAlignment** | RRC alignment gate that maps a FixtureRow and optional PIST labels to an AlignmentStatus. | formal/SilverSight/RRC/Emit.lean:L1 | #protocol | [FixtureRow](#fixturerow) |
|
||||
| **AvmTy** | Closed-world AVM type universe: q0_16, q16_16, bool. | formal/SilverSight/AVMIsa/Types.lean:L1 | #core #implementation | [AvmVal](#avmval) |
|
||||
| **AvmVal** | Typed AVM value payload indexed by AvmTy. | formal/SilverSight/AVMIsa/Value.lean:L1 | #core #implementation | [AvmTy](#avmty) |
|
||||
| **Instr** | AVM instruction set: push, pop, dup, swap, load, store, jump, jumpIf, prim, halt. | formal/SilverSight/AVMIsa/Instr.lean:L1 | #core #implementation | [Prim](#prim) |
|
||||
| **Prim** | Finite AVM primitive set: boolean ops and saturating Q0_16/Q16_16 add/sub. | formal/SilverSight/AVMIsa/Instr.lean:L1 | #core #implementation | [Instr](#instr) |
|
||||
| **AVMIsa.Emit** | Top-level JSON output boundary. Stamps AVM canary receipts and RRC corpus bundles. | formal/SilverSight/AVMIsa/Emit.lean:L1 | #core #protocol | [RRC](#rrc) |
|
||||
| **TDoku16D** | Projected gradient descent constraint propagation on the 16D subspace. | formal/SilverSight/PIST/Tdoku16D.lean:L1 | #mathematical | [Q16_16](#q16_16) |
|
||||
| **CrossDomainSynthesis** | Enclosure and defect proof boundaries validating critical ratios. | formal/SilverSight/PIST/CrossDomainSynthesis.lean:L1 | #mathematical | [MultiSurfacePacker](#multisurfacepacker) |
|
||||
| **MultiSurfacePacker** | Multi-surface Lagrangian optimization decision logic. | formal/SilverSight/PIST/MultiSurfacePacker.lean:L1 | #mathematical | [CrossDomainSynthesis](#crossdomainsynthesis) |
|
||||
|
||||
---
|
||||
|
||||
## Fixed-point and Numerics
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **Q16_16** | Canonical 32-bit fixed-point type: 16 integer bits and 16 fractional bits. The sole source of truth for core arithmetic. | Core/SilverSight/FixedPoint.lean:L1 | #core #implementation | [Q0_16](#q0_16), [ofFloat](#offloat) |
|
||||
| **Q0_16** | 16.16-style fixed-point interpretation used for bounded unit-interval quantities. | Core/SilverSight/FixedPoint.lean:L1 | #core #implementation | [Q16_16](#q16_16) |
|
||||
| **ofFloat** | Conversion from Float to Q16_16. Permitted only at external boundaries (JSON parsing, sensor input); must be immediately bracketed. | AGENTS.md:L1 | #protocol #implementation | [Q16_16](#q16_16), [Float](#float) |
|
||||
| **ofNat / ofRatio / ofRawInt** | Canonical constructors for Q16_16 values in compute paths. | Core/SilverSight/FixedPoint.lean:L1 | #core #implementation | [Q16_16](#q16_16) |
|
||||
| **Float** | IEEE-754 floating-point type. Forbidden in SilverSight compute paths; permitted only at external JSON/sensor boundaries and must be immediately converted to Q16_16. | AGENTS.md:L1 | #protocol #deprecated | [ofFloat](#offloat) |
|
||||
|
||||
---
|
||||
|
||||
## Braid / Eigensolid Compression
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **BraidStorm** | The 8-strand braid topology used by the eigensolid compressor. Strands cross pairwise; each crossing merges phase and produces a residual. | formal/CoreFormalism/BraidEigensolid.lean:L1 | #mathematical #core | [eigensolid](#eigensolid), [crossStep](#crossstep) |
|
||||
| **eigensolid** | The converged, stable state of a braid crossing loop; detected when crossStep(s) = s. | formal/CoreFormalism/BraidEigensolid.lean:L42 | #mathematical #core | [crossStep](#crossstep), [BraidStorm](#braidstorm) |
|
||||
| **crossStep** | One braid-crossing iteration that merges phase and emits a residual. | formal/CoreFormalism/BraidCross.lean:L1 | #mathematical #core | [eigensolid](#eigensolid), [BraidStorm](#braidstorm) |
|
||||
| **strand** | A single braided carrier with phase accumulator, parity, slot, residue, jitter, and admissibility bracket. | formal/CoreFormalism/BraidStrand.lean:L1 | #mathematical #core | [BraidStorm](#braidstorm) |
|
||||
| **Yang-Baxter** | The braid relation that defines braid-order invariance. | formal/CoreFormalism/BraidEigensolid.lean:L1 | #mathematical | [BraidStorm](#braidstorm) |
|
||||
|
||||
---
|
||||
|
||||
## Sidon / Number Theory
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **Sidon set** | A set where all pairwise sums a + b are unique up to reordering. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical #core | [Sidon label](#sidon-label) |
|
||||
| **Sidon label** | An address from a Sidon set. Powers of 2 {1,2,4,8,16,32,64,128} are canonical for 8 strands. | formal/CoreFormalism/InteractionGraphSidon.lean:L1 | #mathematical #core | [Sidon set](#sidon-set) |
|
||||
| **Sidon slack** | Address budget minus the maximum label used; encodes capacity headroom. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical | [Sidon set](#sidon-set) |
|
||||
| **IsIntervalSidon** | Predicate stating that a finite set is a Sidon subset of {1,...,N}. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical | [Sidon set](#sidon-set) |
|
||||
| **IsSidonMod** | Predicate stating that a set is Sidon modulo M: sums are unique up to congruence. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical | [Sidon set](#sidon-set) |
|
||||
| **sidonMaximum** | Extremal function h(N) returning the maximum size of an interval Sidon set. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical | [Sidon set](#sidon-set) |
|
||||
| **Singer theorem** | Existence of a Sidon set of size q+1 modulo q^2+q+1 for prime powers q. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical | [Sidon set](#sidon-set) |
|
||||
| **Lindstrom bound** | Upper bound for interval Sidon sets. | formal/CoreFormalism/SidonSets.lean:L1 | #mathematical | [Sidon set](#sidon-set) |
|
||||
| **interaction graph** | Typed directed graph whose adjacency matrix is tested for the Sidon witness property. | formal/CoreFormalism/InteractionGraphSidon.lean:L1 | #mathematical | [Sidon label](#sidon-label) |
|
||||
| **weak-axis CRT** | Chinese Remainder Theorem reconstruction used for RRC weak-axis classification. | formal/CoreFormalism/SieveLemmas.lean:L1 | #mathematical | [SieveLemmas](#sievelemmas) |
|
||||
|
||||
---
|
||||
|
||||
|
|
@ -42,10 +132,55 @@ SilverSight invents names only when necessary. When a concept already exists und
|
|||
2. Make the File:Line column point at the exact file and line number
|
||||
3. Add relevant Tags for categorization
|
||||
4. Add See Also links to related terms using #anchor format
|
||||
5. Run python3 -m py_compile on any touched Python and lake build on any touched Lean
|
||||
5. If the term has a standard name, add it to the Standard Terminology Crosswalk
|
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6. If the term is used in a receipt or gate, ensure the source module proves the property
|
||||
7. Run python3 -m py_compile on any touched Python and lake build on any touched Lean
|
||||
|
||||
---
|
||||
|
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## Deep Wiki Integration
|
||||
|
||||
All terms are indexed by term name, file path, tags, and cross-references for deep wiki compatibility.
|
||||
|
||||
|
||||
---
|
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|
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## Spiral Packing & Layout
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **Integer Spiral Packing** | Corpus-wide packing of signed coefficients using base 328,469 with offset 164,234. Unpack inverts exactly, round-trip verified over all 250 matrices. | python/spectral_codebook.py:L1 | #implementation #mathematical | [phi_corkscrew_index](#phi_corkscrew_index) |
|
||||
| **phi_corkscrew_index** | Index function for corkscrew packing. Previously not injective ((-1,1) and (1,0) both gave 1 in base 2). Fixed upstream. | python/phi_corkscrew.py:L1 | #mathematical | [Integer Spiral Packing](#integer-spiral-packing) |
|
||||
|
||||
---
|
||||
|
||||
## f(n) Layout (Decorative)
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **f(n) layout** | Decorative layout where each entry gets radius_sq and angle_frac. Computed in decimal because indices reach ~10^44 where float64 keeps zero fractional bits. | python/f_layout.py:L1 | #implementation #mathematical | [radius_sq](#radius_sq), [angle_frac](#angle_frac) |
|
||||
| **radius_sq** | Spiral index value in f(n) layout, representing squared radius. | python/f_layout.py:L1 | #mathematical | [f(n) layout](#fn-layout) |
|
||||
| **angle_frac** | Angular fraction in f(n) layout, computed in decimal for precision. Min angular separation ≈ 4.6×10^-6 of a turn. | python/f_layout.py:L1 | #mathematical | [f(n) layout](#fn-layout) |
|
||||
|
||||
---
|
||||
|
||||
## Cartan Floor & Fingerprints
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **Cartan Δ-floor** | Floor parameter Δ = 17/1792 exact (CartanConnection.lean:70). Used for Fisher version on Δ_7. | formal/SilverSight/PIST/CartanConnection.lean:L70 | #mathematical #core | [Fisher version](#fisher-version), [Δ_7](#δ_7) |
|
||||
| **Fisher version** | Fisher version on Δ_7 with Cartan Δ-floor. 13 fingerprint pairs fall below Δ, merging 196 fingerprints into 187 Δ-resolution codewords. | python/spectral_codebook.py:L1 | #implementation #mathematical | [Cartan Δ-floor](#cartan-Δ-floor) |
|
||||
| **Δ_7** | 7-dimensional simplex with Fisher-Rao metric. Cartan connection defined on J¹(Δ_7). | formal/SilverSight/PIST/CartanConnection.lean:L1 | #mathematical | [Cartan Δ-floor](#cartan-Δ-floor) |
|
||||
| **fingerprint** | Characteristic polynomial coefficients as unique identifier. 196 unique fingerprints across 250 matrices. | python/charpoly_codebook.py:L1 | #mathematical | [codeword](#codeword), [Cartan Δ-floor](#cartan-Δ-floor) |
|
||||
| **codeword** | Δ-resolution codeword after applying Cartan floor. 187 codewords from 196 fingerprints. | python/spectral_codebook.py:L1 | #mathematical | [fingerprint](#fingerprint) |
|
||||
|
||||
---
|
||||
|
||||
## Torus Winding
|
||||
|
||||
| Term | Definition | File:Line | Tags | See Also |
|
||||
|------|------------|-----------|------|----------|
|
||||
| **TorusWinding** | Winding data structure carrying a_exact/b_exact (plain ℤ). Supersedes _safe variant which only detected saturation. | python/torus_winding.py:L1 | #implementation #mathematical | [a_exact](#a_exact), [torus_to_spiral_index](#torus_to_spiral_index) |
|
||||
| **a_exact** | Exact integer parameter in TorusWinding, enables lossless round trips. | python/torus_winding.py:L1 | #implementation | [TorusWinding](#toruswinding) |
|
||||
| **b_exact** | Exact integer parameter in TorusWinding, enables lossless round trips. | python/torus_winding.py:L1 | #implementation | [TorusWinding](#toruswinding) |
|
||||
| **torus_to_spiral_index** | Function mapping torus winding to spiral index. Prefers a_exact/b_exact for lossless round trips. Regression-tested at n = 10^9. | python/torus_winding.py:L1 | #implementation #mathematical | [TorusWinding](#toruswinding) |
|
||||
|
|
|
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Loading…
Add table
Reference in a new issue