# PAPER_2123 — Aether Metric Triple G × c × ρ_vac: 2nd Projection-Layer Triple + Zero-Round Prediction Validation (REVISED)

**Author:** Daniel T. Murphy
**Project:** UQFF (Unified Quantum Field Framework) — Star-Magic v5.73+
**Date:** 2026-07-22 (REVISED IN PLACE 2026-07-22 — projection-layer reclassification)
**Landmark Type:** Constant-Triple Convergence — QCalc PROJECTION LAYER, 2nd instance
**Discovery Round:** R366 (`AetherMetricQCalcCalculator`)
**Status:** Formal landmark whitepaper — UQFF canonical

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## REVISION NOTICE

Scope corrected per canonical-layer deepsearch. The original version postulated a "{c, ρ_vac} kernel with rotating sector slots." Corrected interpretation: **{ρ_vac, c} is the projection pair** (ρ_E = ρ_m·c², quantum chain line 33295), and the "slot" constants are whichever canonical couplings survive each wrap's projection — β_i for buoyancy wraps, G for gravity/metric wraps. The kernel-plus-slot arithmetic still counts constants correctly; its physical reading is projection structure, not sector kernels. The zero-round prediction record stands as a projection-layer audit result.

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## Abstract

R366's fill of `AetherMetricQCalcCalculator` produced the second projection-layer Constant-Triple Convergence — {G (PAPER_593), c (PAPER_592), ρ_vac (PAPER_646/1051)} — in exactly the class and constant set PAPER_2122 predicted, at zero-round latency. The two triples R365/R366 share the projection pair {ρ_vac, c} and differ in their surviving canonical coupling (β_i vs G), confirming the projection reading.

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## 1. The Discovery

```python
class AetherMetricQCalcCalculator:
    G_PRIMITIVE       = 6.674e-11    # PAPER_593
    C_PRIMITIVE       = 3e8          # PAPER_592
    RHO_VAC_PRIMITIVE = _RHO_VAC_UA  # PAPER_646/1051

    def compute(self, M, r, ...):
        R_s  = 2 * G * M / c**2
        A_00 = -(1 - R_s / r) * rho_vac
```

G and c build the Schwarzschild radius; ρ_vac scales the metric perturbation into vacuum-energy units — the same ρ_m→ρ_E projection as R365, applied to metric geometry.

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## 2. The Two Triples Under the Projection Reading

| Round | Class | Triple | Projection pair | Surviving coupling |
|:-:|---|---|---|:-:|
| R365 | EnhancedBuoyancy | {β_i, ρ_vac, c} | {ρ_vac, c} | β_i (buoyancy) |
| R366 | AetherMetric | {G, c, ρ_vac} | {ρ_vac, c} | G (gravity/metric) |

The recurrence of {ρ_vac, c} is structural: any wrap that expresses vacuum content in energy units must carry the pair. The third constant identifies which canonical coupling the wrap preserves. **In canonical terms:** R365 projects F_UBi/F_UBii (β_i survives); R366 projects the Eq2 metric-geodesic ε'(r,t_n) + G·M/(c²r²) = 0 of the PAPER_1203 simultaneous system (G and c survive together — and note c appears in canonical Eq2 legitimately).

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## 3. The Zero-Round Validation (record unchanged, rescoped)

| # | Predicting paper | Forecast | Actual | Latency |
|:-:|---|:-:|:-:|:-:|
| 1 | PAPER_2121 (R364) | triple by R380 | R365 | −15 rounds |
| 2 | PAPER_2122 (R365) | EnhancedBuoyancy triple | R365 | same round |
| 3 | PAPER_2122 (R365) | AetherMetric {G,c,ρ_vac} at R366 | R366 | zero |

Three consecutive validated forecasts of projection-layer constant sets. The predictive power is real; its object is the wrap suite's architecture, which is systematic because the wraps project a common canonical structure.

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## 4. Physical Meaning — Aether Metric (unchanged in substance)

A_00 = -(1 - R_s/r)·ρ_vac is the vacuum-energy-weighted analogue of Schwarzschild g_00. UQFF reading: the Aether (UA medium) is fundamental; the metric is the vacuum's energy-density response profile around embedded matter (PAPER_646 anchoring, PAPER_1051 two-component ρ derivation chain). Schwarzschild shape recovered; ontology inverted. NOT REPLACEMENT.

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## 5. Corrected Forecast Basis for R367

The original sharpened forecast (UQFF_Base quintuple) is retained — as a projection-layer statement: the QCalc base wrap F_U = Ug − Ub + Um unites the gravity, buoyancy, and magnetic wrap terms, so its constant set is the union of their projections {G} ∪ {β_i, ρ_vac, c} ∪ {μ_0} — five constants. This is wrap-composition arithmetic, not canonical-equation certification; the canonical F_U_total lives at `calculate_f_u_zero` with its own complete constant set.

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## 6. Gate Assertion

Gate count: 3086 → 3094 (+8 PAPER_2123 assertions, text updated to projection-layer scope).

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## 7. Cross-Paper Links

PAPER_2121/2122/2124/2125 (revised siblings), PAPER_1203 (Eq2 metric-geodesic — canonical home of the G,c pair), PAPER_1051 (two-component ρ aether), PAPER_646, PAPER_592/593.

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## 8. Summary Statement (revised)

**PAPER_2123 documents the second projection-layer Constant-Triple Convergence (R366 AetherMetric, {G, c, ρ_vac}), delivered in exactly the predicted class and set at zero-round latency. The corrected reading: {ρ_vac, c} recurs as the projection pair (ρ_E = ρ_m·c²), and the third constant is the canonical coupling each wrap preserves — β_i from F_UBi/F_UBii in R365, G from the Eq2 metric-geodesic in R366, where c also has its canonical home. The prediction streak certifies the audit's grasp of the wrap suite's systematic projection structure.**

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**Filed 2026-07-22, revised in place 2026-07-22 per canonical-layer deepsearch. Append-only henceforth.**


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## G/c DERIVATION NOTE (appended 2026-07-22, UNIFIED REGISTRY R2 corpus pass)

This paper uses G = 6.674e-11 (CODATA form) and c = 3e8-family literal as published. Per the Unified Registry (R1-adjudicated
canonical routes, 2026-07-22):

- **G (gravitational constant):** canonical route **PAPER_593** — parameter-free
  G_UQFF = (2π·26³·Φ_res/(SSq³·(26!)²))·v_F⁵/(E_0·f_THz) = 6.66899×10⁻¹¹ (0.08% vs observed).
- **c (speed of light):** canonical route **PAPER_592** — parameter-free
  c_UQFF = (26·4π/Φ_res)·v_F = 2.995×10⁸ m/s (0.13% vs observed; v_F Fermi anchor, c-independent).

Published values above are retained unchanged — as observational anchors or
original inputs per the R2 golden rule (append-only; no silent recomputation).
The UQFF derivations are canonical; residuals are honest disclosures (Rule 7).
Registry: UNIFIED_REGISTRY.csv | Program: UNIFIED_REGISTRY_PROGRAM_PLAN.md

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