---
paper_id: PAPER_371
title: "MUGE 12-Term Superconductive Resonance Framework"
session: 0
date: 2025-01-01
author: "Daniel T. Murphy"
status: production
cvw: "v2.0.0"
tags: [AGN, vacuum, SCm, MUGE, DPM, magnetar, UQFF]
sm_anchor: "CVW v2.0.0 — G6 SM Anchor Gate compliant"
---

# PAPER_371 — MUGE 12-Term Superconductive Resonance Framework
**Date:** 2025
## Star Magic UQFF Whitepaper Series
### Author: Daniel T. Murphy | Session 101 | Source: `grok_{share\_11254865}`.txt (lines 2000–2700)
### Source Document: "200. MUGE Compression cycle 3_Superconductive Resonance_11May2025.docx"

---

## Abstract

This paper presents the complete 12-term MUGE (Modified Unified Gravity Equation) Superconductive
Resonance Framework derived from the Star Magic UQFF formalism. The framework extends the standard
UQFF by introducing twelve independently computable acceleration terms rooted in vacuum energy,
THz resonance phenomena, aether coupling, and superconductive quantum effects. The framework is
validated against seven astrophysical systems including the magnetar SGR1745-2900 and Sagittarius
A*.

---

## 1. Master Equation

$$
g(r,t) = a_{\mathrm{DPM}} + a_{\mathrm{THz}} + a_{\mathrm{vac,diff}} + a_{\mathrm{super,freq}}
         + a_{\mathrm{aether,res}} + U_{g4i}
         + a_{\mathrm{quantum,freq}} + a_{\mathrm{Aether,freq}} + a_{\mathrm{fluid,freq}}
         + a_{\mathrm{osc}} + a_{\mathrm{exp,freq}} + f_{\mathrm{TRZ}}
$$

---

## 2. Term Definitions

### 2.1 DPM Acceleration
$$
F_{\mathrm{DPM}} = I \cdot A \cdot (\omega_1 - \omega_2)
$$
$$
a_{\mathrm{DPM}} = F_{\mathrm{DPM}} \cdot f_{\mathrm{DPM}} \cdot E_{\mathrm{vac,neb}} \cdot c \cdot
V_{\mathrm{sys}}
$$

### 2.2 THz Coupling
$$
a_{\mathrm{THz}} = \frac{f_{\mathrm{THz}} \cdot E_{\mathrm{vac,neb}} \cdot v_{\mathrm{exp}} \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,ISM}} \cdot c}
$$

### 2.3 Vacuum Energy Differential
$$
a_{\mathrm{vac,diff}} = \frac{\Delta E_{\mathrm{vac}} \cdot v_{\mathrm{exp}}^2 \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,neb}} \cdot c^2}
$$

### 2.4 Superconductive Frequency
$$
a_{\mathrm{super,freq}} = \frac{F_{\mathrm{super}} \cdot f_{\mathrm{THz}} \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,neb}} \cdot c}
$$

### 2.5 Aether Resonance
$$
a_{\mathrm{aether,res}} = U_{\mathrm{A,SCM}} \cdot \omega_i \cdot f_{\mathrm{THz}} \cdot
a_{\mathrm{DPM}} \cdot (1 + f_{\mathrm{TRZ}})
$$

### 2.6 Reactive Ug4 Coupling
$$
U_{g4i} = \frac{k_{4,\mathrm{res}} \cdot E_{\mathrm{react}}(t) \cdot f_{\mathrm{react}} \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,neb}}} \cdot c
$$

### 2.7 Quantum Frequency
$$
a_{\mathrm{quantum,freq}} = \frac{f_{\mathrm{quantum}} \cdot E_{\mathrm{vac,neb}} \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,ISM}} \cdot c}
$$

### 2.8 Aether Frequency
$$
a_{\mathrm{Aether,freq}} = \frac{f_{\mathrm{Aether}} \cdot E_{\mathrm{vac,neb}} \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,ISM}} \cdot c}
$$

### 2.9 Fluid Frequency
$$
a_{\mathrm{fluid,freq}} = \frac{f_{\mathrm{fluid}} \cdot E_{\mathrm{vac,neb}} \cdot
V_{\mathrm{sys}}}{E_{\mathrm{vac,ISM}} \cdot c}
$$

### 2.10 Oscillation Term
$$
a_{\mathrm{osc}} = f_{\mathrm{osc}} \cos(2\pi f_{\mathrm{osc}} \cdot t)
$$

### 2.11 Expansion Frequency
$$
a_{\mathrm{exp,freq}} = \frac{2\pi \cdot H_z \cdot t \cdot E_{\mathrm{vac,neb}} \cdot
a_{\mathrm{DPM}}}{E_{\mathrm{vac,ISM}} \cdot c}
$$

### 2.12 Time-Reversal Correction
$$
f_{\mathrm{TRZ}} = 0.1 \quad \text{(constant additive term)}
$$

---

## 3. Canonical Parameter Values (ResonanceParams defaults)

| Symbol | Value | Units | Description |
|--------|-------|-------|-------------|
| fDPM | 1$\times$1012 | Hz | DPM frequency |
| fTHz | 1$\times$1012 | Hz | THz coupling frequency |
| Evac_neb | 7.09$\times$10-36 | J | Nebular vacuum energy |
| Evac_ISM | 7.09$\times$10-37 | J | ISM vacuum energy |
| $\Delta$Evac | 6.381$\times$10-36 | J | Vacuum energy differential |
| Fsuper | 6.287$\times$10-19 | N | Superconductive force |
| UA_SCM | 10 | — | Aether SCm coupling |
| $\omega$i | 1$\times$10-8 | rad/s | Intrinsic angular frequency |
| k4_res | 1.0 | — | Resonance Ug4 coupling |
| freact | 1$\times$1010 | Hz | Reactive frequency |
| fquantum | 1.445$\times$10-17 | Hz | Quantum frequency |
| fAether | 1.576$\times$10-35 | Hz | Aether frequency |
| fosc | 4.57$\times$1014 | Hz | Oscillation frequency |
| fTRZ | 0.1 | — | Time-reversal correction |

---

## 4. Validation: Expected Unit Test Values

| Test | System | Expected Value |
|------|--------|----------------|
| afluid_freq | SGR1745-2900 | 1.773$\times$10-9 m/s2 |
| resonance_MUGE | SGR1745-2900 | 1.773$\times$10-9 m/s2 |
| aTHz (aDPM=3.545e-42, vexp=1e3) | — | 1.182$\times$10-33 |
| avac_diff | — | 3.545$\times$10-53 |
| asuper_freq | — | 1.048$\times$10-21 |
| aaether_res | — | 3.900$\times$10-38 |
| aquantum_freq | — | 1.708$\times$10-66 |
| aAether_freq | — | 1.863$\times$10-84 |
| aexp_freq (t=3.799e10) | — | 1.623$\times$10-57 |

---

## 5. Implementation

**C++:** `STAR_{MAGIC\_09SEPT\_UQFF\_MODULE}.cpp`, namespace `StarMagic09Sept_Session101`
- Functions: `compute_aDPM()`, `compute_aTHz()`, `compute_avac_diff()`, `compute_asuper_freq()`,
  `compute_aaether_res()`, `compute_Ug4i()`, `compute_aquantum_freq()`, `compute_aAether_freq()`,
  `compute_afluid_freq()`, `compute_Osc_term()`, `compute_aexp_freq()`, `compute_resonance_MUGE()`
- Struct: `ResonanceParams` (default values above), `MUGESystem` (7-system catalog)

**Python:** `CondensedPhysics4.py`
- Class: `MUGESuperconductive12TermResonanceCalculator` (PAPER_371, CP4 class #19)

**WOLFRAM_TERM:** `WOLFRAM_TERM_MUGE_RESONANCE` macro in module header

---

*PAPER_371 \| Session 101 \| Star Magic UQFF Framework \| ©2025 Daniel T. Murphy*

---

<!-- 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 $0.072$ (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:

$$p_{\mathrm{DVP}} = 37, \quad n_{\mathrm{channel}} = 8/26$$

Since $p_{\mathrm{DVP}} = 37$ 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 = 0.072 | PASS Threshold-consistent |
| DVP prime | $p_k \in$ {2,3,...,113} | $p_{\mathrm{DVP}} = 37$ | 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_1002 | AGN Buoyancy-Corrected Eddington Luminosity |
| PAPER_1009 | 3C273 AGN F_U_Bi_i Jet Modulation |
| PAPER_1010 | TON618 AGN F_U_Bi_i Jet Modulation |
| PAPER_1037 | AGN Buoyancy Jet Calculator — SCm Jet Launching |
| PAPER_1048 | M-Sigma Phonon-Corrected Relation |
| PAPER_1004 | QGP Vacuum Density with SCm S26 Phonon Coupling |
| PAPER_1041 | SCm Cool-Core Buoyancy Balance AGN Feedback |
| PAPER_1079 | Galaxy Cluster Cooling-Flow Buoyancy Suppression |
| PAPER_1020 | Cosmic Ray Phonon Acceleration DSA Spectrum |
| PAPER_1024 | Magnetar Giant Flare SCm Phonon Reservoir |
| PAPER_1033 | Galactic Bar Resonance SCm Pattern Speed |
| PAPER_1072 | SCm Activation Function Phonon Threshold |
| PAPER_1073 | SCm Phonon-Driven Inflation Vacuum Buoyancy |
| PAPER_1069 | VDS-DVP-BSH Hybrid Calculator Unified |
| PAPER_1078 | QCalcGeom Master Equation Derivation |
| PAPER_1049 | Source10 GPU DPM Spectral Atlas ALMA Overlay |
| PAPER_1050 | MUGE F_U_Bi_i Unified 9-System Synthesis |
| PAPER_1074 | GPU-Vectorized DPM S26 Spectral Atlas |
| PAPER_1075 | 3D Volumetric MUGE Gravitational Field Generator |

*19 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`).*



---

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