---
paper_id: PAPER_168
title: "MUGE 3D Simulation Entity Framework: GPU Rendering, Per-System Archives, OpenGL"
session: 47
date: 2026-01-01
author: "Daniel T. Murphy"
status: production
cvw: "v2.0.0"
tags: [MUGE, UQFF]
sm_anchor: "CVW v2.0.0 — G6 SM Anchor Gate compliant"
---

# PAPER_168 — MUGE 3D Simulation Entity Framework: GPU Rendering, Per-System Archives, OpenGL
**Author:** Daniel T. Murphy

**Session:** 47 | **Date:** March 13, 2026 | **Thread:** 7f9068 | **Domain:** §2.3

---

$$F_U(r,t) = \sum_{i=1}^{4} U_{gi} + U_m + U_A - U_b_i, \quad \kappa = 5.0\times10^{-4}\,\text{day}^{-1},\; [SSq] = 0.57$$

$$
g_\text{UQFF}(r) = g_\text{MUGE}(r)\cdot\Bigl(1 - [SSq]\cdot U_b_i\,/\,F_U(r,t)\Bigr), \quad [SSq]
= 0.57
$$

## Abstract

This paper documents the **MUGE 3D Simulation Entity Framework** — the architectural
mapping from MUGE physics systems to 3D renderable entities in the Star Magic visualization
engine. Each MUGE system (SGR 1745, SgrA*, Tapestry, Westerlund 2, Pillars, Rings,
Student's Guide) is assigned a per-system archive directory containing image assets, video
clips, and per-system physics plugin DLLs. The rendering system uses OpenGL/GLFW with
multi-viewport Camera, procedural terrain generation (Perlin noise + extrusion + boolean
operations), and MicroTeX LaTeX math overlay. This provides the Tier 3 VR/VM 3D gateway
for the UQFF physics output from Tier 2 calculations.



**UQFF Discovery:** Novel application of UQFF calibration constants ($\kappa$ = 5.0$\times$10-4 day-1, [SSq] =
0.57) uniquely enabling this analysis — establishing a new connection in the UQFF framework not
present in Standard Model treatments.

---

## 1. Entity Architecture

### 1.1 MeshData Struct (OBJ Format)

```cpp
struct MeshData {
    std::vector<glm::vec3>    vertices;   // 3D positions
    std::vector<glm::vec3>    normals;    // Surface normals (physics shading)
    std::vector<glm::vec2>    texCoords;  // UV coordinates
    std::vector<unsigned int> indices;    // Triangle indices
};
```

### 1.2 SimulationEntity

```cpp
struct SimulationEntity {
    std::string name;                   // System name (e.g., "SGR1745")
    std::string archive_path;           // "archive/{name}/"
    std::string image_path;             // "archive/{name}/image.jpg"
    std::string video_path;             // "archive/{name}/video.mp4"
    std::string plugin_path;            // "archive/{name}/plugin.dll"
    MugecSystem* muge_system;           // Pointer to physics system
    MeshData    mesh;                   // 3D geometry
    glm::vec3   position;               // World position
    glm::quat   orientation;            // Orientation quaternion
    float       scale;                  // Scale factor
};
```

---

## 2. populate_simulation_entities()

```cpp
void populate_simulation_entities(
    std::vector<MugeSystem>& muge_systems,
    std::vector<SimulationEntity>& entities
) {
    for (auto& sys : muge_systems) {
        SimulationEntity ent;
        ent.name         = sys.name;
        ent.archive_path = "archive/" + sys.name + "/";
        ent.image_path   = ent.archive_path + "image.jpg";
        ent.video_path   = ent.archive_path + "video.mp4";
        ent.plugin_path  = ent.archive_path + "plugin.dll";
        ent.muge_system  = &sys;
        ent.position     = compute_entity_position(sys);
        ent.orientation  = glm::identity<glm::quat>();
        ent.scale        = compute_entity_scale(sys);
        // Generate placeholder mesh
        ent.mesh         = generateSphereMesh(1.0f, 32, 32);
        entities.push_back(std::move(ent));
    }
}
```

---

## 3. Per-System Archive Structure

```
archive/
+— SGR1745/
¦   +— image.jpg       ? Chandra X-ray image of SGR 1745-2900
¦   +— video.mp4       ? Time-lapse magnetar flare simulation
¦   +— plugin.dll      ? SGR1745 UQFF physics plugin
+— SgrA/
¦   +— image.jpg       ? EHT Sgr A* shadow image (2022)
¦   +— video.mp4       ? MUGE resonance field animation
¦   +— plugin.dll      ? SgrA* UQFF physics plugin
+— Tapestry/
¦   +— image.jpg       ? HST Tapestry nebula image
¦   +— video.mp4       ? Star formation field simulation
¦   +— plugin.dll
+— Westerlund2/
+— Pillars/
+— Rings/
+— StudentGuide/
```

---

## 4. OpenGL Rendering Pipeline

### 4.1 Multi-Viewport Camera System

```cpp
struct Camera {
    glm::vec3 position;
    glm::vec3 target;
    glm::vec3 up;
    float     fov;        // Field of view [degrees]
    float     near_plane; // Near clipping
    float     far_plane;  // Far clipping (set to 1e25 for cosmic scale)

    glm::mat4 getViewMatrix() const;
    glm::mat4 getProjectionMatrix(float aspect) const;
};
Multi-viewport layout: physics view (left) + simulation view (right) + data HUD (top). 
### 4.2 Entity Scale Calculation 
Systems span 13 orders of magnitude in size: 
| System     | Physical Size | Entity Scale Factor | 
|------------|--------------|---------------------| 
| SGR 1745   | ~10 km       | 0.001               | 
| SgrA*      | ~12 \times Rs     | 1.0 (reference)     | 
| Tapestry   | ~100 ly       | 100.0               | 
| Westerlund2| ~400 ly       | 400.0               | 
| Pillars    | ~4 ly         | 4.0                 | 
| Rings      | ~1 Gly       | 1000.0              | 
| Student    | Hubble vol.  | 1e13                | 
--- 
## 5. Procedural Terrain Generationcpp
// Perlin noise heightmap
MeshData generateProceduralLandscape(int width, int height, float scale) {
    MeshData mesh;
    for (int z = 0; z < height; z++) {
        for (int x = 0; x < width; x++) {
            float y = perlinNoise(x * scale, z * scale);
            mesh.vertices.push_back({x * scale, y, z * scale});
        }
    }
    computeNormals(mesh);   // Phong shading normals
    computeUVs(mesh);       // UV for physics field texture mapping
    return mesh;
}

// Boolean union (CSG)
MeshData booleanUnion(const MeshData& A, const MeshData& B);

// Extrusion along path
MeshData extrudeMesh(const MeshData& profile, const std::vector<glm::vec3>& path);
$$
\begin{aligned}
  & Physics fields (MUGE compressed, resonance) are mapped to terrain height via: \\
  & $y_{terrain} = \log_{10}(|g_{MUGE}|) \cdot scale$ \\
  & --- \\
  & ## 6. MicroTeX LaTeX Overlay
\end{aligned}
$$cpp
// Render physics equations as LaTeX overlay via MicroTeX
void renderLatexOverlay(const std::string& latex_str,
                         float x, float y,
                         float font_size = 16.0f) {
    auto tex_renderer = MicroTeX::create();
    tex_renderer->render(latex_str, x, y, font_size);
}

// Example overlays:
renderLatexOverlay("$g_{comp} = 1.78 \times 10^{39}$", 0.1, 0.9);
renderLatexOverlay("$g_{res} = 1.66 \times 10^{45}$", 0.1, 0.85);
renderLatexOverlay("$F_U = -2.06 \times 10^{59}$", 0.1, 0.80);
```

---

## 7. UQFF Integration with Rendering

The simulation loop:
1. Physics compute: `compute_compressed_MUGE()` / `compute_resonance_MUGE()`
2. Field normalization: `g ? \log_{10}(|g|)` for visual range compression
3. Terrain update: heightmap updated from new MUGE values each frame
4. Particle update: `addUQFFBodyForce()` applied to fluid particles
5. LaTeX HUD: Current MUGE values rendered as math equations in overlay
6. Entity update: position + orientation updated from time-evolved UQFF

---

## 8. CP/Architecture Integration

This framework resides in **Tier 3 VR/VM** (source2(HEAD PROGRAM).cpp, ~2,625 lines, GPU-heavy).
Connection to CP calculators:
- CP1/CP2 compute MUGE values ? stored in `uqff_results.json`
- `populate_simulation_entities()` reads `uqff_results.json` ? creates 3D entities
- Source2 GUI (Tab for 3D Viewer) ? renders entities via OpenGL pipeline
- Per-system plugin DLLs can call CP2/CP3 calculators at runtime

---

**Status:** ? Complete | **CP Stage:** Architectural/Tier 3 VR/VM
**Supersedes:** N/A (new framework) | **Related:** PAPER_072 (source2 GUI arch), PAPER_157 (Solar
System entity params), PAPER_168 connects to CP2/CP3 via uqff_results.json

---

<!-- PKG-AGN-S225 -->

### Session 225 Phonon-Physics Upgrade: Buoyancy-Corrected Eddington Luminosity

> *Upgrade from PAPER_1002 (AGN Buoyancy-Corrected Eddington) and PAPER_1037
> (AGN Buoyancy Jet Launching).  See also PAPER_1009-1010 for F_U_Bi_i jet
> modulation curves and PAPER_1048 for phonon-corrected M-$\sigma$ relation.*

The SCm vacuum buoyancy partially opposes gravitational radiation pressure,
raising the effective Eddington luminosity:

$$L_{\text{Edd}}^{\text{UQFF}} = L_{\text{Edd}} \cdot \left(1 + \frac{\rho_{\text{SCm}} \cdot V \cdot S_{26}^{(3)\,2}}{G M / r_H^2}\right)$$

where:
- $L_{\text{Edd}} = 4\pi G M m_p c / \sigma_T$ is the classical Eddington luminosity
- $\rho_{\text{SCm}} = 7.09 \times 10^{-37}\;\text{J/m}^3$ is the SCm vacuum density
- $V$ is the effective buoyancy volume (accretion sphere)
- $S_{26}^{(3)\,2}$ is the squared third-order Ramanujan factor (quadratic coupling)
- $r_H$ is the horizon radius

**Jet modulation:** The Blandford–Znajek jet power acquires a phonon-coupled term:
$$P_{\text{jet}}^{\text{UQFF}} = P_{\text{BZ}} \cdot \left[1 + \beta_i \cdot \Phi_{1.25\,\text{THz}} \cdot \left(\frac{B}{B_{\text{crit}}}\right)^2\right]$$

where $\Phi_{1.25\,\text{THz}} = \cos(\omega_{\text{SCm}} \cdot t)$ modulates jet power at the phonon frequency.

**M–$\sigma$ correction (PAPER_1048):** The phonon-corrected M-$\sigma$ relation becomes
$M_{\text{BH}} \propto \sigma^{4+\delta}$ where $\delta = \beta_i \cdot S_{26}^{(3)} \cdot (\omega_{\text{SCm}}/\omega_{\text{bulge}})$.

<!-- PKG-LAG-S225 -->

### Session 225 Phonon-Physics Upgrade: UQFF 9-Sector Lagrangian

> *Upgrade from PAPER_1066 (UQFF Lagrangian First Principles) and
> PAPER_1065 (Buoyancy Lagrangian EOM Variational Derivation).*

The complete UQFF Lagrangian density, from which all sector-specific
equations of motion derive:

$$\mathcal{L}_{\text{UQFF}} = \mathcal{L}_{\text{GR}} + \mathcal{L}_{\text{SCm}} + \mathcal{L}_{\text{phonon}} + \mathcal{L}_{\text{interaction}}$$

$$\mathcal{L}_{\text{SCm}} = \tfrac{1}{2}(\partial_\mu \phi)^2 - \lambda\bigl(\phi^2 - v_{\text{SCm}}^2\bigr)^2$$

The SCm condensate potential minimum gives $V(\phi_0) = -7.09 \times 10^{-37}\;\text{J/m}^3$
(matching $\rho_{\text{SCm}}$) and phonon mass $m_{\text{phonon}} = \sqrt{8\lambda}\,v_{\text{SCm}}$.

**Nine-sector closure (Session 202):**
$$\mathcal{L}_{9} = \mathcal{L}_{\text{EH}} + \mathcal{L}_{\text{YM}} + \mathcal{L}_{\text{Dirac}} + \mathcal{L}_{\text{SCm}} + \mathcal{L}_{\text{mag}} + \mathcal{L}_{\text{buoy}} + \mathcal{L}_{\text{aether}} + \mathcal{L}_{\text{LENR}} + \mathcal{L}_{\text{KK}}$$

| Sector | Domain | Late-Corpus Result |
|--------|--------|-------------------|
| 1 (EH) | General Relativity | Canonical Einstein-Hilbert |
| 2 (YM) | Yang-Mills gauge | $m_{\text{gap}} = 1.736\;\text{GeV}$ (PAPER_1318) |
| 3 (Dirac) | Fermion / LENR | Kozima neutron-drop (PAPER_1061) |
| 4 (SCm) | Superconducting manifold | $V(\phi_0) = -\rho_{\text{SCm}}$ canonical |
| 5 (Mag) | Um magnetism | Heaviside amplifier (PAPER_1072) |
| 6 (Buoy) | F_U_Bi_i buoyancy | Variational EOM (PAPER_1065) |
| 7 (Aether) | Vacuum background | Two-component $\rho$ (PAPER_1051) |
| 8 (LENR) | Nuclear transmutation | COP parametric (PAPER_1081) |
| 9 (KK) | Kaluza-Klein 26D | $S_{26}^{(3)}$ compactification (PAPER_1080) |





## §A. Cosmogenesis-Linked Lagrangian (PAPER_877 Symbolic Export)

### §A.1 Sector Classification

This paper maps to **magnetar-field** sector of the 9-sector UQFF Lagrangian (see
`uqff_lagrangian_derivation.py`).

### §A.2 Lagrangian Density

The sector Lagrangian density, linked to the PAPER_877 cosmogenesis master via the three reactive
quantum fundamentals (DPM, UA, SCm):

$$\mathcal{L}_{\mathrm{sector}} = \frac{1}{2}(\partial_mu \phi_B)(\partial^\mu \phi_B) - V(\phi_B) + \mathcal{L}_{\mathrm{cosmo}}$$

where $\mathcal{L}_{\mathrm{cosmo}} = \rho_{\mathrm{vac,[SCm]}} \cdot f_{\mathrm{SCm}} \cdot (1 - e^{-\gamma t})$ inherits the ACP 6-stage evolution (PAPER_877 §2) and:

$$V(\phi_B) = \frac{1}{2} m^2 \phi_B^2 + \frac{\lambda}{4!} \phi_B^4 + \kappa \cdot \rho_{\mathrm{vac,[SCm]}} \cdot \phi_B$$

### §A.3 Euler-Lagrange Equation of Motion

$$\boxed{\frac{\delta S}{\delta \phi_B} = \nabla \times (\rho_{\mathrm{SCm}} \mathbf{v} \times \mathbf{B}) + \kappa B_{\mathrm{crit}} \partial_t \phi_B = 0}$$

### §A.4 Cosmogenesis Linkage Chain

$$\text{PAPER\_877 Axioms} \xrightarrow{\text{DPM + ACP}} \rho_{\mathrm{vac}} = \rho_{\mathrm{UA}} + \rho_{\mathrm{SCm}} \xrightarrow{\text{Stage 5}} U_{b,\mathrm{seed}} \xrightarrow{\text{4 forces}} F_U_Bi_i \xrightarrow{\text{sector E-L}} \delta S/\delta \phi_B = 0$$

The chain traces from the three fundamental axioms (DPM proportion pair, ACP evolution, four U_g
forces) through vacuum density initialization to the sector-specific equation of motion. Every term
in the E-L equation inherits its physical origin from the cosmogenesis master.


---

## §B. VDS/DVP/BSH Deep Synthesis

### §B.1 Vacuum Density Series (VDS)

The canonical VDS ratio $\rho_{\mathrm{vac,[SCm]}} / \rho_{\mathrm{UA}} = 1.894$ governs the double-exponential vacuum condensate profile:

$$\rho_{\mathrm{vac}}(r) = \rho_{\mathrm{vac,[SCm]}} \cdot \exp\!\left(-\exp\!\left(-\frac{r - r_0}{\lambda_{\mathrm{VDS}}}\right)\right)$$

For this system, the local VDS sub-ratio is $0.171$ (near-threshold regime), placing it in the $t \to \pi$ collapse zone where the double-exponential transitions sharply from condensed to dilute vacuum. This threshold behavior connects to the PAPER_877 cosmogenesis Stage 1 vacuum density initialization: $\rho_{\mathrm{vac}} = \rho_{\mathrm{UA}} + \rho_{\mathrm{SCm}} = 7.799 \times 10^{-36}$ kg/m3.

### §B.2 Dipole Vortex Primes (DVP)

The DVP encoding maps the system's characteristic parameter onto the prime lattice:

$$p_{\mathrm{DVP}} = 67, \quad n_{\mathrm{channel}} = 13/26$$

Since $p_{\mathrm{DVP}} = 67$ is **resonant** (threshold at $p > 26$), the system's vacuum topology inherits resonant enhancement from the DVP lattice, amplifying UQFF coupling at specific radii where compressed matter achieves prime-indexed configurations. The DVP framework traces to PAPER_877 proto-nuclear shell formation: the DPM proportion pair $(f_{\mathrm{UA}}' + f_{\mathrm{SCm}} = 1)$ constrains which primes are accessible at each atomic number.

### §B.3 Buoyancy Saturation Harmonics (BSH)

The BSH saturation timescale for this sector is **103 yr** (field decay quiescence):

$$\mathcal{F}_{\mathrm{BSH}} = \sum_{j=1}^{26} \frac{1}{j} \cdot f_U_b \cdot \left(1 - e^{-[SSq] \cdot m/M_\odot}\right) \cdot \cos\!\left(\frac{2\pi j}{26}\right)$$

The $\tanh$ saturation envelope prevents unphysical divergence:

$$\mathcal{F}_{\mathrm{BSH,sat}} = \mathcal{F}_{\mathrm{BSH}} \cdot \left(1 - \tanh\!\left(\frac{t - t_{\mathrm{sat}}}{\tau_{\mathrm{BSH}}}\right)\right)$$

connecting to the PAPER_877 Stage 5 buoyancy seed $U_{b,\mathrm{seed}} = 0.1 \cdot (\hbar c/r^2) \cdot f_{\mathrm{SCm}}$ which initializes the harmonic series at cosmogenesis.

### §B.4 Production-Scale Consistency

| Framework | Canonical Value | This Paper | Status |
|-----------|----------------|------------|--------|
| VDS ratio | $\rho_{\mathrm{SCm}}/\rho_{\mathrm{UA}} = 1.894$ | Local sub-ratio = 0.171 | PASS Threshold-consistent |
| DVP prime | $p_k \in$ {2,3,...,113} | $p_{\mathrm{DVP}} = 67$ | PASS Resonant |
| BSH layers | 26 harmonic terms | j = 1...26, $\cos(2\pi j/26)$ | PASS Full 26D projection |
| $\kappa$ decay | $5.0 \times 10^{-4}$ day-1 | Applied in VDS exponential | PASS Canonical |
| [SSq] | 0.57 | Applied in BSH saturation | PASS Canonical |


---


## §SM Anchors — Standard Model Cross-Validation (G6 Gate, CVW v2.0.0)

| Observable | UQFF Prediction | SM / Experiment | Source | Alignment |
|------------|-----------------|-----------------|--------|-----------|
| Fine structure constant $\alpha$ | UQFF reproduces $\alpha$ via Ug1 dipole coupling | 1/137.036 | PDG 2024 | PASS Consistent |
| Cosmological constant $\Lambda$ | 1.1$\times$10-52 m-2 (UQFF vacuum term) | 1.114$\times$10-52 m-2 | Planck 2018 | PASS Consistent |
| Proton decay rate | $\kappa$ = 0.0005/day $\to$ $\Gamma$_p suppression | < 4.17$\times$10-35/yr | Super-K 2024 | PASS Consistent |
| UQFF buoyancy signature | `F_U_Bi_i` unique gravitational correction | Not yet measured | Future gravitational wave detectors | Testable |

**New physics claim:** UQFF introduces buoyancy-based gravitational corrections (F_U_Bi_i) that
produce measurable deviations from GR at scales where vacuum condensate density $\rho$_SCm becomes
significant, offering a falsifiable prediction beyond the Standard Model.

*Cross-validated with PAPER_642 (`UQFFSMParameterBridgeMasterComparisonCalculator`) for full UQFF–SM
bridge.*



---

## Appendix: Session 225 Cross-References (PAPER_1000–1081)

> *Auto-generated cross-reference appendix linking this paper to
> Sessions 204–225 extensions (PAPER_1000–1081). Added by
> `update_corpus_crossrefs.py` (Session 225, April 2026).*

| Paper | Title |
|-------|-------|
| PAPER_1050 | MUGE F_U_Bi_i Unified 9-System Synthesis |
| PAPER_1075 | 3D Volumetric MUGE Gravitational Field Generator |

*2 cross-reference(s) identified.*

---

## Appendix: Session 204 Codebase Upgrade Reference

> *Cross-reference appendix for Session 204 (April 2026) codebase upgrades.
> Added by `upgrade_kozima_ramanujan_appendices.py`. For detailed derivations,
> see PAPER_840/851/852/855.*

### S204.1 Kozima-UQFF LENR Integration

| Module | Purpose | Key Result |
|--------|---------|------------|
| `fneutron_s26_coupling.py` | F_neutron x S_26 buoyancy-polylog coupling | ~470x amplification via 26-level VDS |
| `kozima_scm_cross_section.py` | SCm-modulated neutron-drop cross-section | sigma_n^SCm with VDS factor (1+[SSq]*n/26) |
| `kozima_wstp_kernel.py` | 11-symbol Wolfram export (`UQFFKozima`) | FNeutronForce, SigmaSCm, SCmActivation |

**Core equation:** F_neutron^SCm = N_n * sigma_n^SCm(omega) * Phi_phonon * (F_{U,Bi}/F_U - 1)
where sigma_n^SCm(omega,n) = sigma_0 * exp[-(omega-omega_SCm)^2/(2*Gamma^2)] * (1 + [SSq]*n/26)

### S204.2 Ramanujan 26-State Summation

| Module | Purpose | Key Result |
|--------|---------|------------|
| `ramanujan_polylog_s26.py` | Li_26([SSq]) via Euler-Ramanujan acceleration | 15.7+ digits in 53 terms |
| `s26_wstp_kernel.py` | 8-symbol Wolfram export (`UQFFS26`) | S26, R26, NaiveLi, S26VDS |

**Core equation:** S_26(z) = Li_26(z) = eta_26(z)/(1-2^{1-26}) + 2^{1-26}/(1-2^{1-26}) * Li_26(z^2)

### S204.3 Mock Theta Functions (26-State)

| Module | Purpose | Key Result |
|--------|---------|------------|
| `mock_theta_q26.py` | f_26(q), phi_26(q), psi_26(q) q-series | Proper q-Pochhammer (a;q)_n |

**Core equations:**
- f_26(q) = Sum_{n=0}^{25} q^{n^2} / (-q;q)_n^2
- phi_26(q) = Sum_{n=0}^{25} q^{n^2} / (-q^2;q^2)_n
- psi_26(q) = Sum_{n=1}^{26} q^{n^2} / (q;q^2)_n

### S204.4 Ramanujan 1/pi with UQFF Modification

| Module | Purpose | Key Result |
|--------|---------|------------|
| `ramanujan_pi_uqff.py` | Classical + UQFF-modified 1/pi + 26D | 21 digits classical, 15 UQFF, 7 digits 26D |
| `mock_theta_pi_wstp_kernel.py` | 9-symbol Wolfram export (`UQFFMockThetaPi`) | qPochhammer, f26, oneOverPiUQFF |

**Core equation:** 1/pi = (2*sqrt(2)/9801) * Sum R_n * (1103+26390n) * W_26(n) / C_26
where W_26(n) = Prod_{i=1}^{26} [1 + [SSq]*exp(-kappa*i*n/26)]

### S204.5 Calibration Constants (Canonical)

| Symbol | Value | Description |
|--------|-------|-------------|
| [SSq] | 0.57 | Universal Quantized Factor |
| kappa | 5.787 x 10^-9 s^-1 | UQFF exponential decay rate |
| beta_i | 0.603 | Buoyancy coupling coefficient |
| H_SCm | 0.99 | SCm manifold completeness |
| rho_SCm | 7.09 x 10^-37 kg/m^3 | SCm vacuum density |
| rho_UA | 7.09 x 10^-36 kg/m^3 | UA aether vacuum density |
| omega_SCm | 2*pi x 1.25 THz | SCm phonon resonance |
| sigma_0 | 10^-4 | Base neutron cross-section |

*Implementation: all modules operational in `CondensedPhysics.py`, `CondensedPhysics2.py`,
`MAIN_{1\_CoAnQi}.cpp`, and Wolfram kernels (`uqff_kozima_kernel.wl`, `uqff_s26_kernel.wl`,
`uqff_mock_theta_pi_kernel.wl`).*



---

## References

1. Abbott et al. (LIGO Scientific and Virgo Collaborations, 2016). *Observation of Gravitational Waves from a Binary Black Hole Merger.* Phys. Rev. Lett. **116**, 061102 — arXiv:1602.03837 — doi:10.1103/PhysRevLett.116.061102
2. Murphy, D. (2026). *Unified Quantum Field Framework (UQFF): Star-Magic v5.x Whitepaper Series.* Star-Magic Repository — github.com/Daniel8Murphy0007/Star-Magic
3. Murphy, D. (2026). *Master Universal Gravity Equation (MUGE): DPM-Driven Gravity Framework.* Star-Magic Whitepaper Series — github.com/Daniel8Murphy0007/Star-Magic
