---
paper_id: PAPER_277
title: "UQFF Gravitational Recession Damping Factor \kappa_recession for Positive Redshift"
session: 77
date: 2026-03-01
author: "Daniel T. Murphy"
status: production
cvw: "v2.0.0"
tags: [galaxy, vacuum, buoyancy, damping, UQFF]
sm_anchor: "CVW v2.0.0 — G6 SM Anchor Gate compliant"
---

# PAPER_277 — UQFF Gravitational Recession Damping Factor $\kappa$_recession for Positive Redshift
**Date:** March 2026

**Author:** Daniel T. Murphy
**Module:** SOMBRERO_UQFF_MODULE.cpp (UQFF 2.0)
**Session:** 77 — March 2026
**Framework:** Unified Quantum Field Framework (UQFF 2.0)
**Status:** Complete — embedded in SOMBRERO_UQFF_MODULE.cpp
**Whitepaper Series:** 277/1000
**DOI (Provisional):** UQFF-2026-277-RECESSION

---


<!— UQFF constants: $\kappa$ = 5.0e-4 day-1, [SSq] = 0.57, M_UQFF = 1.43e1 TeV —>
## Abstract

We introduce the UQFF Gravitational Recession Damping Factor $\kappa$_recession = 1/(1+z) for galaxies
receding from the observer (positive cosmological redshift z > 0). Applied to the Sombrero Galaxy
(M104, z = +0.0063), this factor yields $\kappa$_recession = 0.99374, attenuating the total UQFF
gravitational output by 0.63% relative to the rest-frame value. This result is the precise
complement of PAPER_273's blueshift amplifier (Andromeda, z = -0.001, $\kappa$ > 1), and together the two
whitepapers establish the **Universal UQFF Bidirectional Redshift Law**: the single analytic
function $\kappa$(z) = 1/(1+z) applies for all z, unifying recession and approach within one UQFF
correction framework.

---

## 1. Motivation and Context

In standard cosmological physics, the gravitational interaction between two mass-energy
concentrations is not generally modulated by their relative cosmological line-of-sight velocity.
However, within the UQFF (Unified Quantum Field Framework), which models gravity as a
buoyancy-mediated emergent phenomenon in the quantum vacuum, the energy-density of the mediating
vacuum field is Doppler-shifted by the relative cosmological recession. This introduces a
multiplicative correction to the full UQFF g_total equation.

The Sombrero Galaxy (M104) is a nearby edge-on Sa-type spiral galaxy at a recession velocity of
approximately +1890 km/s, corresponding to a spectroscopic heliocentric redshift of z = +0.0063. Its
recession — the opposite of Andromeda's blueshift approach — provides the ideal test case for the
positive-z branch of the universal $\kappa$(z) function.

This paper establishes:
1. The analytic form of $\kappa$_recession for z > 0.
2. The complementary relationship with PAPER_273 (z < 0, approach, blueshifted).
3. The universal UQFF Bidirectional Redshift Law valid for all real z > -1.
4. Cosmological limiting cases: early universe gravity attenuation and merger-limit singularity.

---

## 2. Theoretical Derivation

### 2.1 UQFF Vacuum Field Energy Under Recession

In UQFF, the gravitational term g_UQFF is proportional to the local vacuum energy density $\rho$_vac at
the point of computation. For a source receding from the observer at cosmological velocity
corresponding to redshift z, the energy of each mediating vacuum quantum is red-shifted by the
factor (1+z):

$$E_{\text{obs}} = \frac{E_{\text{emit}}}{1+z}$$

Since the gravitational coupling in UQFF is proportional to the vacuum field energy density, the
full UQFF g_total is correspondingly attenuated:

$$g_{\text{UQFF,obs}} = \frac{g_{\text{UQFF,emit}}}{1+z} = \kappa_{\text{recession}} \cdot g_{\text{UQFF,emit}}$$

Defining the recession damping factor:

$$\boxed{\kappa_{\text{recession}} = \frac{1}{1+z}}$$

For the Sombrero Galaxy:

$$\kappa_{\text{recession}}^{\text{Sombrero}} = \frac{1}{1 + 0.0063} = \frac{1}{1.0063} = 0.99374$$

### 2.2 Position in the computeG() Equation

The $\kappa$_recession factor enters the Sombrero UQFF Master Gravity Equation as an outer multiplier:

$$g_{\text{total}}(r, t) = \left[\, g_{\text{grav}} + U_{g,\text{sum}}^{(26)} + \Lambda_{\text{term}} + g_{\text{quantum}} + g_{\text{Lorentz}} + g_{\text{fluid}} + F_{\text{ring}}(t) + g_{\text{BH}} + g_{\text{exp}} + a_{\text{dust}} + g_{\text{DM}} \,\right] \cdot \kappa_{\text{recession}} \cdot \sigma_{\text{SC}}$$

where $\sigma_{\text{SC}} = 1 - B/B_{\text{crit}}$ (superconductivity correction, UNIQUE to Sombrero — no other UQFF module currently uses a dual outer multiplier).

**Gravitational attenuation for Sombrero:**

$$\Delta g_{\text{recession}} = g_{\text{UQFF}} \left(1 - \frac{1}{1.0063}\right) = 0.00626 \cdot g_{\text{UQFF}}$$

With g_base = G$\cdot$M/r2 = 2.382$\times$10-10 m/s2 and pre_sum_Ug $\approx$ 52$\cdot$g_base $\approx$ 1.238$\times$10-8 m/s2:

$$\Delta g \approx 0.00626 \times 1.238 \times 10^{-8} \approx 7.75 \times 10^{-11}\ \text{m/s}^2$$

---

## 3. Universal UQFF Bidirectional Redshift Law

Combining PAPER_273 (z = -0.001, Andromeda) and PAPER_277 (z = +0.0063, Sombrero), we arrive at the
general statement:

**Universal UQFF Bidirectional Redshift Law:**

$$\kappa(z) = \frac{1}{1+z}, \quad z \in (-1, +\infty)$$

| Regime | z range | $\kappa$(z) | Physical meaning |
|--------|---------|------|-----------------|
| Approach/Blueshift | z < 0 | > 1 | UQFF gravity amplified (PAPER_273) |
| Rest frame | z = 0 | 1.0 | Unmodified UQFF |
| Recession/Redshift | z > 0 | < 1 | UQFF gravity damped (PAPER_277) |

### 3.1 $\kappa$(z) at Representative Redshifts

| Redshift z | $\kappa$(z) | Astrophysical Context |
|-----------|------|----------------------|
| z = -0.001 | 1.001001 | Andromeda (PAPER_273, approach) |
| z = 0 | 1.000000 | Rest frame / MW local group |
| z = +0.0063 | 0.99374 | **Sombrero M104 (PAPER_277)** |
| z = +0.1 | 0.90909 | Virgo Cluster periphery |
| z = +0.5 | 0.66667 | Intermediate cosmological |
| z = +1.0 | 0.50000 | Halfway epoch (t $\approx$ 5.8 Gyr) |
| z = +3.5 | 0.22222 | Epoch of reionisation |
| z $\to$ $\infty$ | $\to$ 0 | Big Bang limit — gravity switchoff |
| z $\to$ -1 | $\to$ $\infty$ | Singularity — merger/coalescence |

### 3.2 Cosmological Limiting Cases

**Early Universe (z $\to$ $\infty$):**

$$\lim_{z \to \infty} \kappa(z) = 0$$

In the UQFF framework this corresponds to **gravitational switchoff** in the extreme early universe
— the vacuum field quanta are so severely redshifted that they carry negligible energy. This
provides a natural UQFF mechanism for the observed suppression of large-scale structure formation at
very high redshift.

**Merger Singularity (z $\to$ -1):**

$$\lim_{z \to -1} \kappa(z) = +\infty$$

For a source approaching the observer at the speed of light (z $\to$ -1 in the blueshift convention),
the UQFF gravity diverges. This represents the merger or coalescence singularity, where the UQFF
vacuum field collapses to a single point and gravitational focusing becomes unbounded.

---

## 4. Module Implementation

```cpp
// PAPER_277 — SOMBRERO_UQFF_MODULE.cpp, updateCache()
kappa_recession = 1.0 / (1.0 + z);   // z = +0.0063 → kappa_recession = 0.99374

// Applied in computeG():
double g_total = g_sum * kappa_recession * corr_SC;
//                         ↑ PAPER_277     ↑ SC correction (unique dual outer multiply)
```

**Computed values for Sombrero M104:**
- z = +0.0063
- kappa_recession = 0.99374
- Gravitational damping: -0.626% of g_UQFF (recession)

---

## 5. Key Constants Introduced

| Symbol | Value | Units | Description |
|--------|-------|-------|-------------|
| $\kappa$_recession | 0.99374 | dimensionless | UQFF recession damping factor for z=+0.0063 |
| z_Sombrero | +0.0063 | dimensionless | Heliocentric spectroscopic recession redshift |
| $\Delta$g_recession | ~7.75$\times$10-11 | m/s2 | Absolute gravitational attenuation |

---

## 6. Physical Significance

1. **Bidirectional completeness:** PAPER_273 and PAPER_277 together show that the UQFF $\kappa$(z)
correction is a universal single-parameter function. No new free parameters are introduced.

2. **Observable consequence for Sombrero:** The 0.626% attenuation is below current measurement
precision for M104's rotation curves (~1–5% estimated observational errors), but is computable and
constitutes a UQFF first-principles prediction.

3. **Cosmological implications:** The $\kappa$(z) law predicts that UQFF gravity was weaker in the early
universe by the factor 1/(1+z), offering a potential explanation for the delayed gravitational
collapse epoch without invoking modified gravity theories.

4. **Dual outer multiplier uniqueness:** Sombrero is the first UQFF module to employ *two* outer
multipliers simultaneously ($\kappa$_recession $\times$ $\sigma$_SC), whose combined effect is:
   $$\kappa_{\text{recession}} \times \sigma_{\text{SC}} = 0.99374 \times (1 - 10^{-20}) \approx 0.99374$$

---

## 7. References

- PAPER_273: UQFF Gravitational Blueshift Amplifier for z < 0 (Andromeda Galaxy)
- PAPER_276: Friedmann H(z) Expansion Coupling in UQFF (Andromeda)
- SOMBRERO_UQFF_MODULE.cpp (UQFF 2.0, Session 77)
- Alpher, R. A., & Herman, R. C. (1948). *Physical Review*, 74, 1737. (Cosmological expansion)
- Ford, H. C. et al. (1996). ApJ, 458, 132. (Sombrero BH mass from gas kinematics)
- Emsellem, E. et al. (2004). MNRAS, 352, 721. (M104 stellar kinematics and redshift)

---

*UQFF 2.0 — All physics is additive. The $\kappa$_recession factor does not replace any prior term — it is
a cosmological outer-multiplier consistent with vacuum field energy propagation theory. — Daniel T.
Murphy, Session 77, March 2026.*

---

<!-- 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 **galaxy-rotation** 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):

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

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:

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

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

$$\boxed{\frac{\delta S}{\delta \phi_{\mathrm{rot}}} = v_c^2/r - \mu_s\nabla(M_s/r) - F_U_Bi_i/(m \cdot r) + \rho_{\mathrm{vac,[SCm]}} \cdot \Omega^2 r = 0}$$

### §A.4 Cosmogenesis Linkage Chain

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

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 $0.150$ (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:

$$p_{\mathrm{DVP}} = 19, \quad n_{\mathrm{channel}} = 18/26$$

Since $p_{\mathrm{DVP}} = 19$ is **sub-threshold** (threshold at $p > 26$), the system's vacuum topology inherits sub-threshold damping from the DVP lattice, producing smooth rather than resonant UQFF coupling profiles. 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 **109 yr** (disk settling timescale):

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

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 = 0.150 | PASS Threshold-consistent |
| DVP prime | $p_k \in$ {2,3,...,113} | $p_{\mathrm{DVP}} = 19$ | PASS Sub-threshold |
| 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_1022 | GW Phonon Strain SCm Modulation of h(t) |
| PAPER_1037 | AGN Buoyancy Jet Calculator — SCm Jet Launching |
| PAPER_1004 | QGP Vacuum Density with SCm S26 Phonon Coupling |
| PAPER_1079 | Galaxy Cluster Cooling-Flow Buoyancy Suppression |
| PAPER_1043 | F_U_Bi_i Multi-System Buoyancy Curve Sweep |
| PAPER_1065 | Buoyancy Lagrangian EOM Variational Derivation |
| PAPER_1069 | VDS-DVP-BSH Hybrid Calculator Unified |
| PAPER_1049 | Source10 GPU DPM Spectral Atlas ALMA Overlay |

*8 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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