cff-version: "1.2.0"
message: "If you use SilverSight in your work, please cite this repository using the metadata from this file."
type: software
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: Apache-2.0
commit: "4abd17ffeba2593767ecfc7ca82711de2a2eb921"

references:

  - type: article
    title: "Solving inverse problems with Bayes' theorem"
    authors:
      - 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
    title: "Research Stack (OTOM)"
    authors:
      - family-names: "Schneider"
        given-names: "Brandon"
      - name: "Research Stack Contributors"
    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. SilverSight ports proven Lean modules (Semantics.FixedPoint, Semantics.SidonSets, Semantics.SieveLemmas, Semantics.InteractionGraphSidon, Semantics.BraidEigensolid, Semantics.BraidSpherionBridge)."

  - type: software
    title: "GP_ELITE: Regression symbolique par programmation genetique"
    authors:
      - name: "Sabri Hakou"
    version: "0.1.0"
    date-released: "2026-06-13"
    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), epsilon-lexicase selection, and stigmergic memory."

  - type: unpublished
    title: "Photon-Varied Gaussian States"
    authors:
      - family-names: "Giani"
        given-names: "A."
      - family-names: "Win"
        given-names: "S."
      - family-names: "Conti"
        given-names: "C."
    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."
    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."
      - 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."
      - 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: article
    title: "Pascal's Triangle, Pascal's Pyramid, and the Trinomial Triangle"
    authors:
      - family-names: "Saucedo"
        given-names: "Antonio Jr."
    date-published: "2019-06"
    institution:
      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."

  - type: article
    title: "Close packing density of polydisperse hard spheres"
    authors:
      - family-names: "Farr"
        given-names: "R."
      - family-names: "Groot"
        given-names: "R. D."
    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."

  - type: article
    title: "Fractionation effects in phase equilibria of polydisperse hard-sphere colloids"
    authors:
      - family-names: "Fasolo"
        given-names: "M."
      - family-names: "Sollich"
        given-names: "P."
    date-published: "2004-10"
    doi: "10.1103/physreve.70.041410"
    journal: "Physical Review E"
    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"
    authors:
      - family-names: "Baranau"
        given-names: "V."
      - family-names: "Tallarek"
        given-names: "U."
    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."

  - type: article
    title: "Freezing of polydisperse hard spheres"
    authors:
      - family-names: "Kofke"
        given-names: "D."
      - family-names: "Bolhuis"
        given-names: "P."
    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."

  - type: article
    title: "A Differentiable Interior-Point Method in Single Precision"
    authors:
      - family-names: "Arrizabalaga"
        given-names: "Jon"
      - family-names: "Tracy"
        given-names: "Kevin"
      - family-names: "Manchester"
        given-names: "Zachary"
    date-published: "2026-05"
    url: "https://arxiv.org/abs/2605.17913"
    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"
    authors:
      - family-names: "Kritchevsky"
        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 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"
    authors:
      - family-names: "Yang"
        given-names: "Xiao-Wen"
      - family-names: "Han"
        given-names: "Ziyu"
      - family-names: "Zhang"
        given-names: "Xi-Hua"
      - family-names: "Wei"
        given-names: "Wen-Da"
      - family-names: "Shao"
        given-names: "Jie-Jing"
      - family-names: "Guo"
        given-names: "Lan-Zhe"
      - family-names: "Li"
        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."

  - type: online
    title: "Tangent lines to parabola at ends of focal chord are perpendicular (calculus proof)"
    authors:
      - 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. 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"
    authors:
      - family-names: "Schaertl"
        given-names: "W."
      - family-names: "Sillescu"
        given-names: "H."
    date-published: "1994"
    doi: "10.1007/bf02183148"
    journal: "Journal of Statistical Physics"
    notes: "Early polydisperse hard-sphere BD simulation."

  - type: article
    title: "On the jamming phase diagram for frictionless hard-sphere packings"
    authors:
      - family-names: "Baranau"
        given-names: "V."
      - family-names: "Tallarek"
        given-names: "U."
    date-published: "2014"
    doi: "10.1039/c4sm01439a"
    journal: "Soft Matter"
    notes: "Jamming phase diagram for frictionless spheres."

  - type: article
    title: "Dense packing of binary and polydisperse hard spheres"
    authors:
      - family-names: "Santiso"
        given-names: "E."
      - family-names: "Muller"
        given-names: "E. A."
    date-published: "2002"
    doi: "10.1080/00268970210125313"
    journal: "Molecular Physics"
    notes: "Packing of binary/tridisperse/distributed sphere mixtures."

  - type: article
    title: "Freezing line of polydisperse hard spheres via direct-coexistence simulations"
    authors:
      - family-names: "Castagnede"
        given-names: "A."
      - family-names: "Filion"
        given-names: "L."
      - family-names: "Smallenburg"
        given-names: "F."
    date-published: "2025"
    doi: "10.1063/5.0281621"
    journal: "The Journal of Chemical Physics"
    notes: "Recent direct-coexistence simulation of polydisperse freezing line."

  - type: article
    title: "Frenkel's entropy-exchange mechanism in monodisperse, nearly hard-sphere colloids: minimal perturbations to access fluid-crystal coexistence"
    authors:
      - family-names: "Wang"
        given-names: "J. G."
      - family-names: "Dhumal"
        given-names: "U."
      - family-names: "Zakhari"
        given-names: "M. E. A."
      - family-names: "Zia"
        given-names: "R."
    date-published: "2025"
    journal: "Journal of Fluid Mechanics"
    notes: "Entropy-exchange mechanism to access monodisperse hard-sphere fluid-crystal coexistence."

  - type: article
    title: "The elusive fluid-and-crystal coexistence state in simulations of monodisperse, hard-sphere colloids"
    authors:
      - family-names: "Wang"
        given-names: "J. G."
      - family-names: "Dhumal"
        given-names: "U."
      - family-names: "Zakhari"
        given-names: "M. E. A."
      - family-names: "Zia"
        given-names: "R."
    date-published: "2024"
    doi: "10.1002/aic.70275"
    journal: "AIChE Journal"
    notes: "Elusive nature of unbiased monodisperse hard-sphere coexistence simulation."

  - type: article
    title: "Local composition fluctuations act as precursors for crystal nucleation in polydisperse hard spheres"
    authors:
      - family-names: "De Jager"
        given-names: "M."
      - family-names: "Castagnede"
        given-names: "A."
      - family-names: "Smallenburg"
        given-names: "F."
      - family-names: "Filion"
        given-names: "L."
    date-published: "2025"
    journal: "arXiv"
    notes: "Composition fluctuation precursors in polydisperse nucleation."

  - type: article
    title: "Rheology and structure of polydisperse three-dimensional packings of spheres"
    authors:
      - family-names: "Cantor"
        given-names: "D."
      - family-names: "Azema"
        given-names: "E."
      - family-names: "Sornay"
        given-names: "P."
      - family-names: "Radjai"
        given-names: "F."
    date-published: "2018"
    doi: "10.1103/physreve.98.052910"
    journal: "Physical Review E"
    notes: "Shear strength nearly unchanged despite microstructural differences in polydisperse packings."

  - type: article
    title: "Impact of polydispersity and confinement on diffusion in hydrodynamically interacting colloidal suspensions"
    authors:
      - family-names: "Gonzalez"
        given-names: "E."
      - family-names: "Aponte-Rivera"
        given-names: "C."
      - family-names: "Zia"
        given-names: "R."
    date-published: "2021"
    doi: "10.1017/jfm.2021.563"
    journal: "Journal of Fluid Mechanics"
    notes: "Polydispersity + confinement effect on colloidal diffusion."

  - type: article
    title: "Percus-Yevick structure factors made simple"
    authors:
      - family-names: "Botet"
        given-names: "R."
      - family-names: "Kwok"
        given-names: "S."
      - family-names: "Cabane"
        given-names: "B."
    date-published: "2020"
    doi: "10.1107/s1600576720014041"
    journal: "Journal of Applied Crystallography"
    notes: "Simplified PY structure factors for monodisperse/polydisperse fluids."

  - type: thesis
    title: "Microstructure and macroscopic properties of polydisperse systems of hard spheres"
    authors:
      - family-names: "Ogarko"
        given-names: "V."
    date-published: "2014"
    doi: "10.3990/1.9789036536691"
    institution:
      name: "University of Twente"
    notes: "Polydisperse hard-sphere EOS, moments, glassy regime."
