feat: Add Research Lab pack with paralleled math modules

Create comprehensive research-lab pack structure with mathematical
and quantum computing modules from blackroad-prism-console:

Math Modules:
- hilbert_core.py: Hilbert space symbolic reasoning
- collatz/: Distributed Collatz conjecture verification
- linmath/: Linear mathematics C library
- lucidia_math_forge/: Symbolic proof engine
- lucidia_math_lab/: Experimental mathematics

Quantum Modules:
- lucidia_quantum/: Quantum core
- quantum_engine/: Circuit simulation

Experiments:
- br_math/: Gödel gap, quantum experiments

Includes pack.yaml manifest and comprehensive README.

🤖 Generated with [Claude Code](https://claude.com/claude-code)

Co-Authored-By: Claude <noreply@anthropic.com>

packs/research-lab/math/linmath/.blackroad/pin.sha

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+UNAVAILABLE

packs/research-lab/math/linmath/.clang-format

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+BasedOnStyle: LLVM
+IndentWidth: 2
+ColumnLimit: 100

packs/research-lab/math/linmath/.clang-tidy

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+Checks: 'bugprone-*,clang-analyzer-*,readability-*,portability-*,-readability-magic-numbers'

packs/research-lab/math/linmath/.editorconfig

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+root = true
+[*]
+charset = utf-8
+end_of_line = lf
+insert_final_newline = true
+indent_style = space
+indent_size = 2

packs/research-lab/math/linmath/.github/workflows/ci.yml

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+name: ci
+on: [push, pull_request]
+jobs:
+  build:
+    strategy:
+      matrix:
+        os: [ubuntu-latest, macos-latest, windows-latest]
+        cc: [gcc, clang]
+    runs-on: ${{ matrix.os }}
+    steps:
+      - uses: actions/checkout@v4
+      - name: Configure
+        run: cmake -S . -B build -DBUILD_TESTING=ON
+      - name: Build
+        run: cmake --build build --config Release -j 2
+      - name: Test
+        run: ctest --test-dir build --output-on-failure
+  cppcheck:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: deep5050/cppcheck-action@v6
+        with: { enable: "all", std: "c11", inconclusive: true }

packs/research-lab/math/linmath/.github/workflows/codeql.yml

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+name: codeql
+on:
+  push: {branches: ["**"]}
+  pull_request:
+  schedule: [{cron: "0 6 * * 1"}]
+jobs:
+  analyze:
+    uses: github/codeql-action/codeql-config@v3
+    with:
+      languages: c-cpp

packs/research-lab/math/linmath/.github/workflows/sbom.yml

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+name: sbom
+on: [push, workflow_dispatch]
+jobs:
+  syft:
+    runs-on: ubuntu-latest
+    steps:
+      - uses: actions/checkout@v4
+      - uses: anchore/sbom-action@v0.17.5
+        with:
+          format: spdx-json
+          artifact-name: sbom.spdx.json

packs/research-lab/math/linmath/.pre-commit-config.yaml

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+repos:
+  - repo: https://github.com/pre-commit/pre-commit-hooks
+    rev: v4.6.0
+    hooks: [ {id: trailing-whitespace}, {id: end-of-file-fixer} ]
+  - repo: https://github.com/pre-commit/mirrors-clang-format
+    rev: v18.1.8
+    hooks: [ {id: clang-format} ]

packs/research-lab/math/linmath/CMakeLists.txt

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+cmake_minimum_required(VERSION 3.15)
+project(linmath-header C)
+add_library(linmath INTERFACE)
+target_include_directories(linmath INTERFACE $<BUILD_INTERFACE:${CMAKE_CURRENT_LIST_DIR}/include>
+                                          $<INSTALL_INTERFACE:include>)
+include(CTest)
+if (BUILD_TESTING)
+  add_executable(linmath_test tests/linmath_test.c)
+  target_include_directories(linmath_test PRIVATE include tests)
+  add_test(NAME linmath_test COMMAND linmath_test)
+endif()
+install(DIRECTORY include/ DESTINATION include)
+install(TARGETS linmath EXPORT linmathTargets)
+install(EXPORT linmathTargets NAMESPACE linmath:: DESTINATION lib/cmake/linmath)
+include(CMakePackageConfigHelpers)
+write_basic_package_version_file("${CMAKE_CURRENT_BINARY_DIR}/linmathConfigVersion.cmake"
+  VERSION 0.1.0 COMPATIBILITY AnyNewerVersion)
+configure_file(packaging/pkgconfig/linmath.pc.in linmath.pc @ONLY)
+install(FILES "${CMAKE_CURRENT_BINARY_DIR}/linmath.pc" DESTINATION lib/pkgconfig)

packs/research-lab/math/linmath/Doxyfile

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+PROJECT_NAME = "linmath"
+PROJECT_NUMBER = "0.1.0"
+INPUT = include
+RECURSIVE = NO
+GENERATE_HTML = YES
+QUIET = YES

packs/research-lab/math/linmath/LICENCE

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+            DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
+                    Version 2, December 2004
+
+Copyright (C) 2004 Sam Hocevar <sam@hocevar.net>
+
+Everyone is permitted to copy and distribute verbatim or modified
+copies of this license document, and changing it is allowed as long
+as the name is changed.
+
+            DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
+   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+  0. You just DO WHAT THE FUCK YOU WANT TO.

packs/research-lab/math/linmath/NOTICE

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+This repository is a mirror of datenwolf/linmath.h pinned to a specific commit.
+BlackRoad added build tooling, CI, packaging, docs, and policies. Original code:
+(c) upstream authors, license: WTFPL (see LICENCE).

packs/research-lab/math/linmath/README.md

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+# linmath
+
+Placeholder mirror of datenwolf/linmath.h.
+
+## BlackRoad Mirror
+
+- Pinned to upstream SHA: UNAVAILABLE
+- Added CMake/Meson/pkg-config, CI, tests, SBOM, Conan/vcpkg, and docs.
+
+_Last updated on 2025-09-11_

packs/research-lab/math/linmath/SECURITY.md

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+# Security Policy
+This is a header-only library mirrored from upstream (see pin in .blackroad/pin.sha).
+Please open security reports privately via GitHub Security advisories.

packs/research-lab/math/linmath/examples/example.c

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+#include "linmath.h"
+int main(void) {
+  return 0;
+}

packs/research-lab/math/linmath/include/linmath.h

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+/*
+   DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
+           Version 2, December 2004
+
+Copyright (C) 2004 Sam Hocevar <sam@hocevar.net>
+
+Everyone is permitted to copy and distribute verbatim or modified
+copies of this license document, and changing it is allowed as long
+as the name is changed.
+
+           DO WHAT THE FUCK YOU WANT TO PUBLIC LICENSE
+  TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION
+
+ 0. You just DO WHAT THE FUCK YOU WANT TO.
+*/
+#ifndef LINMATH_H
+#define LINMATH_H
+/* Placeholder for upstream linmath.h; upstream source unavailable in this environment. */
+#endif /* LINMATH_H */

packs/research-lab/math/linmath/meson.build

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+project('linmath', 'c', version: '0.1.0')
+inc = include_directories('include')
+linmath_dep = declare_dependency(include_directories: inc)
+test('linmath_test', executable('linmath_test', 'tests/linmath_test.c', include_directories: inc))

packs/research-lab/math/linmath/packaging/conan/conanfile.py

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+from conan import ConanFile
+class Linmath(ConanFile):
+    name = "linmath"
+    version = "0.1.0"
+    license = "WTFPL"
+    description = "Header-only linear math for graphics"
+    url = "https://github.com/blackboxprogramming/linmath.h"
+    exports_sources = "include/*"
+    no_copy_source = True
+    def package(self):
+        self.copy("*.h", dst="include", src="include")
+    def package_info(self):
+        self.cpp_info.includedirs = ["include"]

packs/research-lab/math/linmath/packaging/pkgconfig/linmath.pc.in

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+prefix=/usr
+exec_prefix=${prefix}
+includedir=${prefix}/include
+Name: linmath
+Description: Header-only linear math for graphics (vec3/vec4/mat4x4/quat)
+Version: 0.1.0
+Cflags: -I${includedir}

packs/research-lab/math/linmath/tests/linmath_test.c

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+#include "linmath.h"
+int main(void) {
+  /* Placeholder test: upstream test unavailable */
+  return 0;
+}

packs/research-lab/math/linmath/vcpkg.json

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+{
+  "name": "linmath",
+  "version-string": "0.1.0",
+  "description": "Header-only linear algebra for graphics",
+  "homepage": "https://github.com/blackboxprogramming/linmath.h"
+}