# PAPER_2245 — The Two-Gravity Doctrine at Origin, the Founding Ug Closed Form, and the Manuscript's Complete F_U Sector Forms — the March-28 Definitional Layer Closed

**Author:** Daniel T. Murphy
**Project:** UQFF (Unified Quantum Field Framework) — Star-Magic-Program
**Date:** 2026-08-20
**Landmark Type:** Definitional-origin canonization (completes the March-28 document trio:
naming manuscript + Universal Gravity + Universal Inertia)
**Seminal Sources:** `Star Magic_28Mar2025.docx` (the naming manuscript — Chapter 3 "The
Equation That Binds the Cosmos"), `Universal Gravity_28Mar2025.docx` (the two-gravity
doctrine + founding Ug closed form), `Universal Star formation_29Mar2025.docx` (external
reference layer, disposition recorded), PAPER_2244 (the naming record), PAPER_2152 (the
FU.docx master-equation chain this cross-confirms), PAPER_2148 (Answer B ontology),
PAPER_2147 (J/m³-native discipline)
**Status:** Formal landmark whitepaper — UQFF canonical

---

## Abstract

The March-28 definitional layer closes with three origin structures:

1. **The two-gravity doctrine, verbatim:** "The duality of Gravity is the Universe's
   Superconduction Principle." Primary = Universal Gravity ("drives the Universe's
   Superconduction Principle and only has a few mathematical rules by which inertia
   operates to support the Permanence of all matter"); secondary = Newtonian gravity
   ("how science currently measures all observations"). This is the documented origin of
   the calculator's deepest architectural rule — the `dpm_helpers` ontology chain in which
   **GM/r² appears LAST as an observational projection**, never as seed.
2. **The founding Ug closed form:** `Ug_i = [((mass · vacuum energy)/volume)] / [UA volume]`
   — the earliest Universal-Gravity expression, natively built from vacuum-energy density
   and volumes (the J/m³-native discipline of PAPER_2147, present at origin), with mass as
   a multiplicative input rather than the seat of the force.
3. **The manuscript's complete founding F_U** (Chapter 3): the full master equation with
   per-sector closed forms — Ug1 (internal dipole, k₁·μ_s·∇(M_s/r)·e^(−αt)·cos(πt_n)·(1+δ_def)),
   Ug2 (outer field bubble/heliosphere with H_SCm·E_react), Ug3 (magnetic-strings disk,
   π·P_core), **Ub_i = −β_i·Ug_i·Ω_g·(M_bh/d_g)·(1+ε_sw·ρ_sw)·U_UA·cos(πt_n)** — the exact
   structural form the calculator wires as its buoyancy default — Um (SCm magnetic strings
   with P_SCm·E_react), and A_μν = g_μν + η·T_μν(UA, SCm, ρ_A, t_n), bit-matching the
   FU.docx master (PAPER_2152 chain cross-confirmed inside the naming manuscript itself).

## 1. The Two-Gravity Doctrine (Universal Gravity_28Mar2025, verbatim anchors)

Documented statements, canonized as founding doctrine:

1. "There are two forms of Gravity … The second unknown form of primary gravity would
   allow the apple to ideally float alongside the lesser example of Newton's falling
   experiments. The complete answer to the gravity riddle exists in both."
2. "The duality of Gravity is the Universe's Superconduction Principle."
3. **"Mass can only be calculated but never fully determined."** — the Answer B ontology
   (PAPER_2148: mass emergent, not fundamental) in one founding sentence.
4. **The "Last Parsec Moment":** "The idea of mass is subject to change, within the Last
   Parsec Moment the closer you get to a celestial body" — the origin concept behind the
   framework's local-crossing treatment of gravity (the r_hz habitable-zone grammar).
5. The "Universal ACE energy Dynamo": 26 EM fields oscillating on prescribed q-frequencies,
   resonant points compartmentalizing [UA] into [UA_i] with an FSC-quality void pocket —
   cross-confirming Birth of DPM (PAPER_2236 chain) inside the gravity document.

## 2. The Founding Ug Closed Form

```
Ug_i = [ (mass × vacuum energy) / volume ] / [ UA volume ]
```

Readings (recorded): the numerator is a vacuum-energy density scaled by mass — J/m³-native
from the first expression (PAPER_2147 discipline at origin); the denominator normalizes by
the Aether's influence volume (the V_infl,[UA] machinery of the 28Mar Universal Inertia doc,
PAPER_2241 sweep). Newtonian G appears nowhere — consistent with the doctrine that G belongs
to the measurement layer only.

## 3. The Manuscript's Founding F_U (Chapter 3, cross-confirmation census)

| Sector | Manuscript form (28 Mar 2025) | Corpus/wiring correspondence |
|---|---|---|
| F_U master | Σk_i·Ug_i(r,t,M_s,ω_s,T_s,B_s,SCm,UA,t_n) − β_i·Ug_i·Ω_g·(M_bh/d_g)·E_react + Σμ_j/r_j·(1−e^(−γt))·cos(πt_n)·φ_j + (g_μν + η·T_μν) | FU.docx master (PAPER_2152) — bit-matching structure |
| Ug1 | k₁·μ_s(t,SCm)·∇(M_s/r)·e^(−αt)·cos(πt_n)·(1+δ_def) | `dpm_ug1_seed` lineage (PAPER_2152 §2) |
| Ub_i | −β_i·Ug_i·Ω_g·(M_bh/d_g)·(1+ε_sw·ρ_sw)·U_UA·cos(πt_n) | the calculator's wired buoyancy default (Ω_g = 7.3×10⁻¹⁶, M_bh = 8.15×10³⁶ documented in the same March family — PAPER_2241 sweep) |
| Um | Σ[μ_j(t,SCm)/r_j·(1−e^(−γt)·cos(πt_n))·φ̂_j]·P_SCm·E_react | the Um master lineage (PAPER_862 chain) |
| A_μν | g_μν + η·T_μν(UA,SCm,ρ_A,t_n) | the aether-background sector (L_aether) |

SCm is defined in the same chapter as "the Cosmic Glue" — bound in every atom and star,
lacking a quantum signature (Qs), quantifiable "by actions and distance measurements between
our Sun and Sagittarius A*" — the founding statement of the Sun↔Sgr A* quantification pairing
that became the calculator's buoyancy anchor pair.

## 4. Reference-Layer Disposition

`Universal Star formation_29Mar2025.docx` is an external-literature record (Ceccarelli &
Codella, Physics Today 77(5), 2024 — interstellar shocks and star formation) with no
framework content: it is the documented external anchor of the corpus's SNR shock-velocity
sessions. Disposition recorded; no landmark content claimed (Rule 7).

## 5. Wiring

`DISPATCH['PAPER_2245']` returns the doctrine record (verbatim anchors), the founding Ug
closed form, the F_U sector-form correspondence census, the mass-emergent aphorism flag,
and the reference-layer disposition. Gate pins: the doctrine flags, the founding-form
record, the Ub-form correspondence to the wired buoyancy default, and the Sun↔Sgr A*
pairing origin.

## NOT REPLACEMENT

Newtonian gravity is explicitly preserved by the founding doctrine itself as the measurement
layer — the framework's own origin document assigns both forms their roles. Documented
origins canonized; no physics values changed.

---

**Copyright** — Daniel T. Murphy / Star-Magic Research Program, 2026.

---

## APPENDED 2026-08-20 — THE FIRST SOLAR PARAMETERIZATION (manuscript back half): every calculator anchor documented on one page

The manuscript's remaining chapters carry the framework's **first full solar
parameterization of F_U** (28 Mar 2025) — the anchor set the calculator still uses:

| Anchor | Manuscript value | Corpus status |
|---|---|---|
| M_s | 1.989×10³⁰ kg | M_SUN_OBSERVED (named anchor) |
| R_s | 6.96×10⁸ m | R_SUN_OBSERVED (named anchor) |
| ω_s | 2.9×10⁻⁶ rad/s equatorial (25-day equator / 35-day poles) | the canonical 2.5×10⁻⁶ is the documented AVERAGE (28Mar Universal Inertia; both members of `ccw_cw_differential(2.9e-6, 2.5e-6)` are documented in the same March family) |
| Ω_g | 7.3×10⁻¹⁶ rad/s | the wired buoyancy default |
| M_bh (Sgr A*) | 4.1×10⁶ M_⊙ = 8.15×10³⁶ kg | the wired buoyancy default |
| d_g | 27,000 ly = **2.55×10²⁰ m** | the wired lattice form D_crit·SO_5¹⁹ = 2.6×10²⁰ (PAPER_2139/R387) sits 1.96% above the documented origin — provenance note recorded |
| μ_s | B_s·R_s³ = 10⁻⁴·(6.96×10⁸)³ ≈ **3.38×10²⁰** | the `dpm_ug1_seed` dipole lineage |
| R_b (heliosphere) | ~100 AU = 1.496×10¹³ m | the Ug2 bubble anchor |
| α | 0.001 day⁻¹ (non-linear time decay) | the e^(−αt) decay lineage |

Worked-value verification (Rule 7 — mantissa-level only): recomputing the manuscript's own
formulas gives μ_s = 10⁻⁴·(6.96×10⁸)³ = 3.37×10²² and Ug2 = 10⁻¹⁰·1.989×10³⁰/(1.496×10¹³)²
= **8.887×10⁻⁷** — the Ug2 MANTISSA (8.87) reproduces the manuscript's exactly, and the
manuscript's internal chain (3.38×10²⁰ × 274 = 9.26×10²²) is self-consistent, but the stated
EXPONENTS differ from the formula arithmetic (10²⁰ vs 10²² for μ_s; 10⁶ vs 10⁻⁷ for Ug2).
This is either docx superscript-flattening in the archived copy or an in-document arithmetic
slip; disclosed, not adjudicated, not forced. The manuscript's own caveat "units to be
normalized" is quoted alongside. The k_i = 1 "unitless, adjustable for scaling" convention
at origin is the ancestor of the corpus's later k-calibration chains.
