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: "2026-07-03"
license: Apache-2.0
commit: "4910e3877cbebfa6024edd571e242dbbbbd1e6fc"

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  - type: unpublished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."

  - type: article
    title: "Induction Effects in Terrestrial Magnetism, Part I. Theory"
    authors:
      - family-names: "Elsasser"
        given-names: "Walter M."
    date-published: "1946"
    doi: "10.1103/PhysRev.69.106"
    journal: "Physical Review"
    notes: >
      Introduced toroidal/poloidal decomposition of vector fields on a
      torus (poloidal = short way, toroidal = long way). SilverSight's
      CRT Torus Embedding F(a)₁ = a mod L₀ (identity, poloidal),
      F(a)ᵢ = S-a mod Lᵢ (reflection, toroidal) is the discrete
      additive analogue. The S-a reflection corresponds to poloidal
      inversion s_θ = ±1 in the continuous case, encoding braid
      crossing orientation (over vs. under). Source:
      formal/CoreFormalism/CRTSidon.lean,
      docs/research/sidon_preservation_creation.md.

  - type: online
    title: "Erdős Problem #477: Tiling complements for value sets of polynomials"
    authors:
      - family-names: "Bloom"
        given-names: "Thomas F."
    date-published: "2026-06"
    url: "https://www.erdosproblems.com/477"
    notes: >
      References: Bloom (2026) via Brownawell–Masser S-unit estimate +
      Heath-Brown determinant method. Proves that the set of 13th powers
      has a tiling complement in ℤ. The greedy tiling criterion
      (Lemma 1.7) is the same algorithm as SilverSight's `crt_sidon_set`:
      enumerate candidates, reject those that create collisions, accept
      when bad shifts are o(T). The analytic density bound |Sc(T)|=O(T^{5/6})
      corresponds to our Sidon sum collision bound (wrapping criterion +
      M-difference condition). Binds to: scripts/crt_capacity_envelope.py,
      formal/CoreFormalism/CRTSidon.lean.
    version: "accessed 27 June 2026"

  - type: online
    title: "Pipeline-Math: LLM-generated solutions to open problems"
    authors:
      - family-names: "Peng"
        given-names: "Binghui"
      - family-names: "Tao"
        given-names: "Runzhou"
      - family-names: "Wang"
        given-names: "Steven"
      - family-names: "Yu"
        given-names: "Hantao"
      - family-names: "Liu"
        given-names: "Diyi"
    date-published: "2026-06"
    repository-code: "https://github.com/Pengbinghui/pipeline-math"
    notes: >
      GPT-5.5 Pro (prover) + Claude Code (assembler) pipeline producing
      solutions to open problems (COLT, FOCS, Erdős, commutative ring theory)
      with Lean 4 formalization. Solves Erdős Problem 477 (tiling complement)
      — the same problem and greedy algorithm as SilverSight's crt_sidon_set.
      Their prover-verifier pipeline mirrors SilverSight's autoresearch
      (phi4/prove.py -> lake build verification). 95% of repo is Lean 4.

  - type: online
    title: "Toroidal and Poloidal Coordinates"
    authors:
      - literal: "Wikipedia contributors"
    date-published: "2025-05-26"
    url: "https://en.wikipedia.org/wiki/Toroidal_and_poloidal_coordinates"
    notes: >
      Accessible reference for toroidal/poloidal coordinate system.
      The poloidal θ coordinate (short way around the torus) maps to
      SilverSight's identity axis; the toroidal ζ coordinate (long way)
      maps to the reflection axes. Both are special cases of the same
      topology: two orthogonal directions on a torus with orientation
      sign s = ±1 encoding chirality.

  # ── 2026-07 Session Sources ──────────────────────────────────

  - type: article
    title: "Planar Point Sets with Many Unit Distances"
    authors:
      - name: "OpenAI"
    date-published: "2026-07"
    url: "https://cdn.openai.com/pdf/74c24085-19b0-4534-9c90-465b8e29ad73/unit-distance-proof.pdf"
    notes: >
      Proves ν(n) ≥ n^(1+δ) for infinitely many n, disproving Erdős's
      1946 unit-distance conjecture. Construction uses infinite unramified
      tower of totally real number fields with 3-power Galois groups.
      Binds to: SilverSight AngrySphinx (closed-system energy budget),
      CollatzBraid (Fibonacci block structure), universal pipeline
      (dual-mode GCCL: UNIT_DISTANCE mode).

  - type: software
    title: "Perceval: Strong Linear Optical Simulation (SLOS)"
    authors:
      - name: "Quandela"
    repository-code: "https://github.com/Quandela/Perceval"
    url: "https://www.quandela.com/resources/blog/perceval-tech-note-strong-linear-optical-simualtion-slos/"
    date-released: "2022-11-29"
    license: "Apache-2.0"
    notes: >
      SLOS backend for photonic quantum simulation. Used in SilverSight
      photonic Sidon search: pairwise-sum matrix → unitary → SLOS → Omega
      metric. Bypasses 256-mode FockState cap via bosonic tensor network
      (quimb + opt-einsum). Source: scripts/photonic_sidon_search.py,
      formal/SilverSight/GoldenSpiral.lean (development map).

  - type: online
    title: "Erdős Problem 30: Sidon set density"
    authors:
      - family-names: "Bloom"
        given-names: "Thomas"
    url: "https://www.erdosproblems.com/30"
    notes: >
      Open problem: is h(N) = N^(1/2) + O_ε(N^ε)? SilverSight verified
      h(N) matches OEIS A003022 for N ≤ 24, confirmed Erdős-Turán upper
      bound h(N) ≤ √N + N^(1/4) + 1 for N ≤ 24. Source:
      scripts/photonic_sidon_search.py (T8_density test).

  - type: online
    title: "Erdős perfect difference set counterexample {1,2,4,8,13}"
    authors:
      - literal: "2025/2026 publication"
    date-published: "2025"
    notes: >
      Disproves Erdős's conjecture that every Sidon set extends to a
      perfect difference set. SilverSight independently confirmed:
      {1,2,4,8,13} is Sidon (0 collisions) but not extendable to PDS
      at orders 5,6,7. Source: scripts/photonic_sidon_search.py
      (T7_counterexample test), formal/SilverSight/CollatzBraid.lean.

  - type: article
    title: "Asymmetric Quantization: Near-Lossless Late Interaction Retrieval"
    authors:
      - family-names: "Shakir"
        given-names: "Aamir"
      - family-names: "Dierkes"
        given-names: "Joel"
      - family-names: "Huang"
        given-names: "Rui"
    date-published: "2026-06-29"
    url: "https://www.mixedbread.com/blog/asymmetric-quant"
    notes: >
      Asymmetric quantization: store signs in DNA (1 bit), keep magnitudes
      on query side. Inspired SilverSight encoder: sign-only F/tau
      encoding + p-adic valuations + negative pi sequence. Source:
      scripts/encoder_q16.py, scripts/padic_encoder.py.

  - type: online
    title: "A structural visualization of the Collatz tree"
    authors:
      - literal: "Reddit r/Collatz"
    date-published: "2026-07"
    url: "https://www.reddit.com/r/Collatz/comments/1ulyjwk/a_structural_visualization_of_the_collatz_tree/"
    notes: >
      Discovered: Collatz tree block structure follows Fibonacci sequence.
      i(k) = F(k+1), e(k) = F(k), total = F(k+2). Tree grows as φ^k.
      Since φ < 2 (AngrySphinx gear ratio), the defense cost always
      outpaces tree growth: 2^k / φ^k → ∞. Source:
      formal/SilverSight/CollatzBraid.lean (§6 Fibonacci Block Structure).

  - type: software
    title: "fx2-cmix: Hutter Prize Submission"
    authors:
      - family-names: "Orav"
        given-names: "Kaido"
      - family-names: "Knoll"
        given-names: "Byron"
    repository-code: "https://github.com/kaitz/fx2-cmix"
    date-released: "2024-10-08"
    license: "GPL-3.0"
    notes: >
      Current Hutter Prize record holder (enwik9: 110,793,128 bytes).
      461-model context mixer with NLP, LSTM, article reordering.
      Weight matrix: 23 × 461 (layer-0 mixers × model inputs).
      SVD of this matrix = compression shape equation.
      Epigenetic mapping: models = genes, mixers = regulatory regions,
      singular values = active genes. Source: docs/cmix_epigenetic_analysis.md.

  - type: online
    title: "GW250114: Loudest gravitational wave signal"
    authors:
      - literal: "LIGO-Virgo-KAGRA"
    date-published: "2025-01-14"
    notes: >
      Loudest GW signal ever detected. 62.7-solar-mass remnant.
      Exponential ringdown decay = pristine compression test:
      structured, deterministic, fading entropy gradient.
      Proposed as astrophysical test data for SilverSight compressor.

  - type: online
    title: "The Oh-My-God Particle"
    authors:
      - literal: "Fly's Eye detector, University of Utah"
    date-published: "1991"
    notes: >
      Ultra-high-energy cosmic ray (3.2×10^20 eV). Single subatomic
      particle carrying baseball-velocity impact energy. Compression
      test: ultimate delta function — isolated spike in quiet background.
      Tests compressor's adaptivity to extreme outliers.

  - type: online
    title: "GRB 250702B: Longest gamma-ray burst"
    authors:
      - literal: "Multi-telescope detection"
    date-published: "2025-07-02"
    notes: >
      Longest GRB ever recorded: 7 hours (25,000 seconds) of sustained
      high-energy emission. Helium merger (black hole + helium star).
      Multi-channel correlated telemetry across 5 space telescopes.
      Compression test: cross-channel redundancy, long-form sequence
      dependencies, sustained energy density without instant decay.

  - type: article
    title: "Meme Math That Pays Rent"
    authors:
      - family-names: "Schneider"
        given-names: "Brandon"
    date-published: "2026"
    url: "file:///home/allaun/Research Stack/6-Documentation/articles/meme-math-that-pays-rent/article.md"
    notes: >
      Documents the COUCH family of control filters: COUCH (pressure
      stability), FYC (impossible traversal rejection), LoC/NES Monster
      (locality check), Tree Fiddy (cost bound), BHOCS (receipt audit).
      Philosophy: "A joke can get a parking pass. It does not get tenure.
      If it wants to stay in the stack, it has to pay rent."
      Source: formal/SilverSight/GCCL.lean (§8b Admit Pipeline).

  - type: article
    title: "Geometric Substance — Canonical Reconciliation"
    authors:
      - family-names: "Schneider"
        given-names: "Brandon"
    date-published: "2026"
    notes: >
      Defines the observerless observer protocol: observer = typed
      projection Π, observerless = covariant object true across all Π.
      Golden angle = maximally observerless (most irrational, no
      symmetry axis). Sidon mirror: exact at observerless level,
      inexact in every projection. Chirality = mirror inexactness.
      Source: formal/SilverSight/GoldenSpiral.lean, formal/SilverSight/GCCL.lean.
      Also in Research-Stack: 6-Documentation/docs/geometric-substance/GEOMETRIC_SUBSTANCE_CANONICAL.md.

  - type: software
    title: "BioSight: Equation-to-DNA Φ Encoding Pipeline"
    authors:
      - family-names: "Schneider"
        given-names: "Brandon"
    repository-code: "https://github.com/allaunthefox/BioSight"
    date-released: "2026-06"
    license: "Apache-2.0"
    notes: >
      DNA encoder: exact arithmetic (fractions.Fraction, no floats).
      Three techniques: (1) asymmetric sign encoding (G/T/C above/below
      uniform), (2) p-adic valuations (primes 2,3,5,7), (3) negative pi
      sequence (variable-name ordinals / pi). Achieves 20/20 injectivity.
      Source: BioSight/python/phi/embed.py (v3, exact arithmetic).

  - type: article
    title: "Bulk Acoustic Wave Ising Machine"
    authors:
      - family-names: "Lin"
        given-names: "Yuxuan"
      - family-names: "Wang"
        given-names: "Zhuoran"
      - family-names: "Zhang"
        given-names: "Yi"
      - family-names: "Liu"
        given-names: "Jian"
      - family-names: "Chen"
        given-names: "Xiaoyu"
    date-published: "2026-07-07"
    url: "https://arxiv.org/abs/2607.02112"
    notes: >
      BAWIM: Bulk Acoustic Wave Ising Machine using SAW resonators.
      Explored mutation engine approach for Sudoku solving. Result: approach
      not competitive — backtracking solver is 1000× faster and exact.
      Oscillating bath solver finds trivial minima or underperforms SA.
      Engine useful only for hardware parameter exploration, not solver quality.
      Source: python/bawim_mutation_engine.py, docs/research/bawim_mutation_engine_results.md.

  - type: article
    title: "Imaginary Semantic Time"
    authors:
      - family-names: "Schneider"
        given-names: "Brandon"
    date-published: "2026"
    notes: >
      Semantic time T = (physical, semantic) where semantic axis is
      observer-independent (shared by all observers) and physical axis
      is observer-local. Sieve observers: l=7 (human), l=11 (dolphin),
      CRT reconstruction mod 77. Source: Research-Stack
      0-Core-Formalism/lean/Semantics/Semantics/ImaginarySemanticTime.lean,
      formal/SilverSight/HachimojiN8.lean (N=8 root theorem).
