Agent’s View: References

Dark Material Substrate — Key Sources Mapped to Constraints

Published

September 7, 2026

Primary Sources (Essential)

# Author(s) Work Key Result for DMS Supports
1 Barenghi, Skrbek, Sreenivasan “Introduction to Quantum Turbulence” (2023) HVBK mutual friction equations; vortex dynamics in superfluids C2 (ℏ derivation), Two Fluids → Quantum Potential, Weinberg Angle
2 Volovik “The Universe in a Helium Droplet” (2003) Emergent speed of light (Ch.7); two-fluid model (Ch.4-5); cosmological constant self-tuning \varepsilon + P = 0 (Ch.29-30); vortex-core bound states → gauge fields, SU(2) from doublet structure of half-quantum vortex cores (Ch.22-25) C1, C6 (F1), C7, SC3, Spacetime: Transition Dynamics
3 Larichev & Reznik “Two-dimensional solitary Rossby waves” (1976) Original modon paper: dispersion relation + matching conditions C1 (modon speed = c), Emergent Speed of Light, Hydrogen Atom
4 Simeonov arXiv:2509.02868 Two coupled fluids → quantum potential; osmotic velocity \mathbf{v}_2 = -D\nabla(\ln\rho_1) derived from HVBK mutual friction C2, Two Fluids → Quantum Potential
5 Bush & Oza “Hydrodynamic Quantum Analogs” (2020, Ann. Rev. Fluid Mech.) Pilot-wave hydrodynamics: orbiting/promenading pairs; wave-mediated binding force; three features (self-generated pilot wave, resonance, path memory) Hydrogen Atom, Spin-Statistics
5b Dagan & Bush HQFT paper Particle as 2\omega_c source in Klein-Gordon field; self-propulsion stabilizes at p = \hbar k; phase-locking as attractor C4 (electron mechanism)
6 Saffman “Vortex Dynamics” (1992), Ch.8 Vortex pairs and modons; dipole propagation theory Photon as Modon

Scattering Theory Sources (Critical for C6/C8/SC5)

# Author(s) Work Key Result Supports
7 Kopnin “Theory of Nonequilibrium Superconductivity” (2001), esp. Ch.3, Ch.14 HVBK coefficients from microscopic scattering; Breit-Wigner \alpha_{mf} = \tfrac{1}{2}\sin 2\delta_0; energy-dependent \alpha_{mf}(E); CdGM bound-state spectrum; minigap \omega_0 and scattering time \tau C6, C8, WIP-1, WIP-5, WIP-9, weinberg angle
8 Iordanskii-Sonin-Stone Vortex scattering formalism \alpha_{mf} = \tfrac{1}{2}\sin 2\delta_0; dissipative/reactive decomposition; weak-scattering branch selection C6, C8, SC5
9 Stone “Iordanskii Force and the Gravitational Aharonov-Bohm Effect for a Moving Vortex” (2000) Berry phase for quasiparticle-vortex scattering; spectral asymmetry; independent route to g^2 = 4\sin^2\delta_0 via Berry curvature flux integral C6 (Route 2), SC5
10 Thouless, Ao, Niu “Transverse Force on a Quantized Vortex in a Superfluid” (1996) Topological origin of transverse force coefficients; Berry phase connection C6, SC5
11 Autti et al. “Observation of Half-Quantum Vortices in Topological Superfluid He-3” (2016, PRL) Experimental: half-quantum vortices support Kramers-protected bound states C6 (F1: Kramers doublet), observations

Analog Gravity and GR Derivation Sources

# Author(s) Work Key Result Supports
12 Barceló, Liberati, Visser Living Reviews in Relativity (2005) Acoustic metric exact at kinematic level; note that dynamic equivalence requires fluid EOM to produce correct metric response; linearized substrate satisfies this SC1, SC2, S3.7
13 Zloshchastiev (+ Avdeenkov) IJMPA 35 2040032 (2020); JPB 44 195303 (2011) The substrate’s logarithmic EOS: density-independent c ⟹ logarithmic self-interaction; gausson width = GP healing length; photon massless only at the marginal critical density; retires the second species (dag) C1, C7, Substrate Particles § Logarithmic EOS, Emergent Speed of Light
14 Unruh (1981) Original acoustic metric derivation for sound in flowing fluid Ebbing Current
15 Painlevé / Gullstrand (1921/1922) PG form of Schwarzschild metric — “rain coordinates” Spacetime: Acoustic Metric
16 Hamilton & Lisle (2008) “River model of black holes” — PG metric as literal inflow Spacetime: Acoustic Metric

Quantum Foundations Sources

# Author(s) Work Key Result Supports
17 Nelson (1966) Stochastic mechanics → quantum potential from diffusion Two Fluids → Quantum Potential (two-fluid → QM)
18 Bohm & Vigier (1954) Subquantum fluctuations in a fluid medium Two Fluids…
19 Hestenes “Space-Time Algebra” (1990) Geometric algebra / spinors; Zitterbewegung interpretation (spin measurement)
20 de Broglie Pilot wave theory Compton vibration → de Broglie wavelength chain (three-line derivation)

Cosmological Dark Matter Sources

# Author(s) Work Key Result Supports
21 Khoury Dark Matter Superfluidity papers DM superfluid on galactic scales; MOND-like phonon-mediated force; CDM-to-MOND at Landau critical velocity v_L \sim 10^{-3}c C10, CDM→MOND prediction
22 Planck Collaboration Planck 2018 cosmological parameters A_s, n_s, r_s, \Omega_{DM}, \Lambda C7, C10–C13
23 Particle Data Group PDG values m_e, m_p, \alpha, \sin^2\theta_W, (g-2)/2 C4–C6, C8–C9

Experimental Analogs

# System Relevance Section
24 He-3 A-phase Emergent “speed of light” for Weyl fermion quasiparticles: c_\text{eff} = v_F(\Delta/E_F)^{1/2} spacetime intro
25 He-3 B-phase Higgs mechanism analog; chirality ordering; half-quantum vortices (Autti et al.) C6 (F1)
26 Type II superconductor Abrikosov vortex lattice = visible substrate boundary physics (conductors)
27 WR 140 (JWST 2022) Spiral pinwheel shock = vortex street at stellar scale (visual analogs)

Textbook Background

Topic Source Used in
Madelung equations Griffiths QM + Simeonov two fluids
Kinetic theory Reif “Fundamentals” C2 kinetic form
Vortex dynamics Saffman; Lamb-Chaplygin
Superfluid hydrodynamics Volovik Ch.4-5; Barenghi reviews two fluids, weinberg angle
Geometric algebra / spinors Hestenes spin stats

Section ↔︎ Reference Quick Map

Section Key References
Substrate Particles Zloshchastiev (log EOS) 2020; Avdeenkov & Zloshchastiev 2011; Volovik Ch.7; Fetter
Emergent Speed of Light Zloshchastiev 2020; Barceló/Liberati/Visser 2005; Volovik Ch.7
Two Fluids → Quantum Potential Simeonov arXiv:2509.02868; Nelson 1966; Bohm & Vigier 1954
Gravity Volovik Ch.29-30; Visser analog gravity
Photon as Modon Saffman Ch.8; Larichev & Reznik 1976
Spin-Statistics Hestenes 1990; Bush & Oza promenading pairs
Higgs Field Volovik Ch.29-30; He-3 B-phase literature
Weinberg Angle Kopnin; Iordanskii-Sonin-Stone scattering
Constraint Summary PDG values; Planck 2018
Observational Predictions Barceló/Liberati/Visser; Volovik Ch.7; Valentini; ’t Hooft 2016; Autti et al. 2016