DEVs — Vacuum Excitation Dynamics

Covariant scalar–vector–tensor effective field theory in which galactic dark-matter phenomenology emerges from saturation of the gravitational vacuum below an acceleration scale $a_0$.

Author: Miqueias Alves Mendes Institution: Independent Researcher, Ibiapina, Ceará, Brazil Repository: github.com/mendesengproj-blip/DEVs

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Series status

#	Title	Canonical file	Status
Master	Vacuum Excitation Dynamics: A Covariant SVT EFT of Galactic Dynamics from Saturation of the Gravitational Vacuum	paper_master/dev_master.tex	Unified manuscript consolidating I–IV; Paper V integrated as companion. [CONFIRMAR submission target]
I	SVT field theory; SPARC fit; UDG slip	paper_I/dev_paper_I_final.tex	Final. Superseded by Master for unified submission; retained as standalone version. [CONFIRMAR status — PRD DS14085 outcome]
II	Stability, scale constraints, robustness	paper_II/dev_paper_II_FINAL.tex	Final. Integrated into Master.
III	Non-local slip operator; extended-source derivation	paper_III/DEV_paper_III_FINAL.tex	Final. Integrated into Master.
IV	Analytical origin of the non-local operator (quasilinear deep-MOND background)	paper_IV/DEV_paper_IV.tex	Companion. Derives $\alpha = -(1+2\gamma_{\rm eff})$ and $s_{\rm trans} = 1/2$.
V	Multi-scale tests, CMB lensing, GW170817, BTFR($z$) forecast	paper_V/DEV_paper_V.tex	Companion. Adds Sect. VIII on BTFR redshift evolution under $a_0(z)\propto H(z)$.

Items tagged [CONFIRMAR] require validation against the current submission record before being finalised in the README.

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Key results

• SPARC fits: median $\widetilde\chi^2_\nu = 1.30$ on 167 galaxies with zero global free parameters; outperforms a simple-$\mu$ MOND baseline ($\widetilde\chi^2_\nu = 1.58$, $\Delta\mathrm{AIC} \approx -1781$) evaluated in an identical pipeline.
• Radial-acceleration relation: intrinsic scatter $\sim 0.095$ dex, below the McGaugh–Lelli–Schombert 2016 bound of $0.13$ dex and tighter than the simple-$\mu$ MOND scatter ($0.108$ dex) in the same SPARC pipeline.
• Gravitational slip: $\eta - 1 \in [2.2%, 4.1%]$ point-source, $[3.8%, 6.9%]$ extended-source, across six benchmark UDGs. DGSAT-I: $g/a_0 \approx 0.016$, $\eta - 1 \approx 6.7%$ (strongest test).
• Stability: $c_s^2 \in [1/3, 1)$, ghost-free, $L < 17$ pc.
• Non-local operator: numerically $\alpha = -1.56 \pm 0.02$ (deep-MOND, point source), matching the analytical $\alpha = -(1+2\gamma_{\rm eff})$ of Paper IV. Universal transition slope $s_{\rm trans} = 1/2$ fixed by the DBI saturation axiom. Regime-dependent $\alpha$ across profiles ($-1.96$ Hernquist to $-1.41$ UDGs).
• $\alpha$-invariance test: SPARC $\widetilde\chi^2_\nu$ is bit-identical (IEEE-754) under $\alpha \in [0.5, 1.0]$: the exponent enters only the slip, not the rotation curves.
• Mass-window separation (Paper V Sect. XII): scalar slip mediator $m_\phi \lesssim 6.4 \times 10^{-30}$ eV from CMB $A_{\rm lens}$; vector $m_A$ window $3.76 \times 10^{-25}$ to $1.2 \times 10^{-22}$ eV from SPARC plus GW170817. The two sectors are distinct, in line with the scalar/tensor decoupling of the DEV action.
• Second falsifiable prediction (Paper V Sect. VIII): under $a_0(z) \propto H(z)$, the BTFR velocity zero-point at fixed baryonic mass shifts by $\Delta\log_{10} v_{\rm flat} = (1/4)\log_{10}[H(z)/H_0]$ — $+0.118$ dex at $z = 2$, $\sim 0.11$ dex above the $\Lambda$CDM consensus (EAGLE/TNG50/MUSE-DARK-II). Testable now with JWST NIRSpec kinematics.
• Euclid forecast (Paper V Sect. VII): SNR $\sim 31\sigma$ for $N = 300$ UDGs; $\sim 5\sigma$ discrimination between power-law slip and saturation models.
• Falsification criterion: $\eta - 1 < 1%$ across the UDG sample rules out DEV.

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Canonical parameters

Parameter	Value
$a_0$	$1.2 \times 10^{-10}$ m s$^{-2}$ $= 3703$ (km/s)$^2$/kpc
$\beta$	$0.0070\ [0.0055,, 0.0085]$ (1$\sigma$ rescaled; $\beta_{\rm best} = 0.0075$)
$\alpha$	$2/3$ (point-source, spherical, SymPy-verified)
$\alpha$ (deep-MOND op.)	$-1.56 \pm 0.02$ numerical; $-(1+2\gamma_{\rm eff})$ analytical (Paper IV)
$s_{\rm trans}$	$1/2$ (DBI-fixed)
$G$	$4.302 \times 10^{-3}$ kpc·(km/s)$^2$/M$_\odot$

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Repository structure

DEVs/
├── paper_master/
│   ├── dev_master.tex            # Unified manuscript (consolidates I–IV)
│   ├── dev_master_PT.tex         # Portuguese translation
│   ├── dev_master_v2.tex         # Working / variant copies
│   └── ...
│
├── paper_I/
│   ├── dev_paper_I_final.tex     # Standalone Paper I
│   ├── theory.py, sparc.py, udg.py, calibrate_beta.py
│   └── figures/
│
├── paper_II/
│   ├── dev_paper_II_FINAL.tex
│   ├── stability.py, vector_scale.py, degeneracies.py,
│   │   beta_naturalness.py
│   └── figures/
│
├── paper_III/
│   ├── DEV_paper_III_FINAL.tex
│   ├── operator_identification.py, universality_test.py
│   └── *.png
│
├── paper_IV/
│   ├── DEV_paper_IV.tex          # Analytical α = -(1+2γ_eff)
│   ├── quasilinear_green.py      # Quasilinear Green's function
│   ├── analytical_gamma.py
│   ├── propagator_analysis.py
│   └── *.png  (gamma_vs_profile, exponent_vs_regime,
│               analytical_vs_numerical, propagator_momentum, …)
│
├── paper_V/
│   ├── DEV_paper_V.tex           # Multi-scale + CMB + GW + BTFR(z)
│   ├── btfr_redshift.py          # BTFR zero-point evolution (Sect. VIII)
│   ├── redshift_prediction.py    # First-pass slip/v_circ vs z
│   ├── figures/                  # btfr_zeropoint_evolution,
│   │                             # btfr_data_comparison, discriminator,
│   │                             # eta_vs_g_multiscale, euclid_forecast,
│   │                             # cmb_mass_requirement, dbi_saturation_test,
│   │                             # ligo_mA_constraint
│   └── btfr_report.txt, btfr_report_v2.txt
│
├── code/, audit_*.{csv,py,md}, …  # Audit pipeline and supporting analyses
├── dev_refs.bib                   # Bibliography (35 entries)
├── DEV_series_status.md           # Series audit + status report
├── CLAUDE.md                      # Context for Claude Code sessions
├── README.md
├── requirements.txt
└── .gitignore

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Reproducing the results

pip install -r requirements.txt

# Paper I — SPARC + UDGs
cd paper_I && python sparc.py            # median χ²_ν = 1.30
cd paper_I && python udg.py              # UDG slip table

# Paper III — non-local operator identification
cd paper_III && python operator_identification.py   # α ≈ -1.56
cd paper_III && python universality_test.py

# Paper IV — analytical origin
cd paper_IV && python quasilinear_green.py          # α = -(1+2γ_eff)
cd paper_IV && python analytical_gamma.py

# Paper V — multi-scale tests + BTFR(z)
cd paper_V && python btfr_redshift.py               # BTFR Δlog v at z

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Citation

Mendes, M. A. (2026). Vacuum Excitation Dynamics: A Covariant Scalar–Vector–Tensor Effective Field Theory of Galactic Dynamics from Saturation of the Gravitational Vacuum. [CONFIRMAR submission target / Zenodo DOI / arXiv ID]

Companion papers:

• Paper IV — Analytical Origin of the Non-Local Gravitational Slip Operator from the Quasilinear Deep-MOND Background.
• Paper V — Multi-Scale Observational Tests, CMB Lensing, Gravitational-Wave Constraints, and the Redshift Evolution of the BTFR.