Institute of Integrative and Interdisciplinary Research

v2

VOLUME II — BEYOND SINGULARITIES: PROGRAMME

Kriger, Boris. Volume II: The Consistent Universe—Singularities Resolved, Dark Sector Dissolved, Parameters Derived: A Dark-Sector-Free Cosmology (Local Gravity of Quantum Vacuum, αLGQV Theory Monograph). Toronto: IIIR Cosmology and Theoretical Physics, 2026. 579 pp. ISBN 979-8255039135. https://doi.org/10.13140/RG.2.2.29913.28002

PART A: COMPLETED OR SUBMITTED (Papers #18–#29)

#18 — The Architecture of the Block Universe Completed. Programmatic bridge between Volume I and Volume II.

#19 — The Cosmological Constant as a QCD Observable: Derivation, Nonlinear Screening, and Falsification Under review, Physics Letters B (PLB-S-26-01010). Derives Λ₀ = α·f_b·σ⁶/m⁴_Pl. Ratio 2.8. N-body screening factor 3.9×.

#20 — Density Dependence of QCD Vacuum Energy from Nucleon Sigma Terms Under review, Nuclear Physics B (NPB-S-26-00669). Derives α = 0.096 from σ_πN and σ_s. Microscopic foundation of the coupling.

#21 — Resolution Convergence of Nonlinear Screening in the Gravitating Vacuum Completed. PM simulations 64³–128³. Richardson extrapolation confirms convergence.

#22 — A Coherence Triangle Linking the Initial State, the Origin of the Microwave Background, and the Missing Mass Problem Completed. Structural interconnection of three cosmological problems through vacuum coherence.

#23 — A Dark-Sector-Free Cosmology from One Action: 23 Quantities, Zero Free Parameters Completed. Most compact statement of the programme’s predictive reach.

#24 — A Phenomenological Framework for Scale-Dependent Vacuum Energy Suppression and Its Cosmological Consequences Submitted, Acta Physica Polonica B. Vacuum energy suppression across cosmological scales.

#25 — Constructing a Coherent Universe: From One Action to Observed Reality Completed. Comprehensive synthesis: observed reality from one gravitational action.

#26 — Derivation of the Cosmological Constant from Nuclear Physics, the Size of the Universe, and the Thermodynamic Foundation Completed. Parameter-free Λ₀ from QCD and thermodynamic self-consistency.

#26a Thermodynamic origin of the vacuum-matter coupling from de Sitter two-fluid hydrodynamics Complete

#27 — Dynamic Topology of the Universe: RP³ with Double Counter-Rotation Completed. RP³ topology with counter-rotating identification.

#28 — Gravitational Activation Threshold (K Limit) Completed. Vacuum pressure as the fourth stability barrier against gravitational collapse.

#29 — Particle Physics from Vacuum Coherence: Six Problems Resolved Without New Particles Completed. Six open problems in particle physics addressed through vacuum coherence.

#30 — Kriger, B. (2026). Rotation curves without dark matter particles: The alpha LGQV vacuum halo model applied to SPARC galaxies. https://doi.org/10.13140/RG.2.2.28615.66723

αLGQV Rotation Curve Calculator

https://boriskriger.github.io/publicationsiiir/alphalgqv_calculator.html

#30a —Kriger, B. (2026). Isothermal vacuum profile fits to five SPARC galaxy rotation curves. Submitted to Research Notes of the American Astronomical Society Manuscript # AAS75645 (RNAAS) https://doi.org/10.13140/RG.2.2.31132.24965

#30b —Kriger, B. (2026). Vacuum halo profiles in dwarf irregular galaxies: Pseudo-isothermal fits to 31 SPARC rotation curves and the cusp-core problem. Submitted to Monthly Notices of the Royal Astronomical Society, Manuscript MN-26-0945-P. https://doi.org/10.13140/RG.2.2.16111.39842

#30c —Kriger, B. (2026). Vacuum halo profiles in low-surface-brightness galaxies: Pseudo-isothermal fits to 14 SPARC rotation curves (Manuscript No. aa60218-26). Submitted to Astronomy & Astrophysics. https://doi.org/10.5281/zenodo.19391167

#30d —Kriger, B. (2026). Vacuum halo profiles in massive spiral galaxies: Pseudo-isothermal fits to 18 SPARC rotation curves where baryons and dark matter compete. Publications of the Astronomical Society of Japan, submitted.

#30e —Kriger, B. (2026). Vacuum halo profiles in gas-dominated late-type spirals: Pseudo-isothermal fits to 20 SPARC rotation curves and the r_c–R_d scaling relation. Physical Review D, submitted.

#30f — Kriger, B. (2026). Vacuum halo profiles in edge-on galaxies: Minimising inclination systematics across 19 SPARC rotation curves. The Astrophysical Journal Letters, submitted.

#30g — RESULTS: Kriger, B. (2026). Quantum vacuum replaces dark matter: Isothermal fits to all 175 SPARC galaxy rotation curves. Nature Astronomy, Manuscript NATASTRON-26040505. https://doi.org/10.13140/RG.2.2.35719.76963

FULL REPORT: Kriger, B. (2026). 175 Galaxy Rotation Curves Fitted Without Dark Matter Particles: The αLGQV Vacuum Halo Programme — Complete Report with Seven Papers, Full Fitting Code, and All Results. Zenodo. https://doi.org/10.5281/zenodo.19390767

#31 — The Nonlinear Vacuum, the Chiral Transition, and the Pole of Spacetime Target: Physical Review D. Analytic extension of ρ_vac(ρ_m) to the nonlinear regime using higher-order Schwinger–DeWitt a₂ coefficients. Chiral phase transition at 3–5 ρ_nuclear. Continuation to extreme curvature: the Pole as a smooth, finite-density (ρ_Pole ~ 10⁷³ kg/m³), finite-curvature topological extremum. No bounce, no singularity. Unifies the microscopic (nuclear) and cosmological (Pole) limits of the vacuum–matter coupling in a single analytic framework.

#32 — The Collapsed Object: Structure, Magnetism, Time, and Horizons Target: Classical and Quantum Gravity. Comprehensive treatment of collapsed objects within the αLGQV framework. Kerr-like solutions with toroidal vacuum cores replacing singularities. Layered internal structure: deconfined core, mixed phase, confined exterior. CFL Meissner effect and magnetic flux tube geometry. Two internal timescales: gravitational dilation (dτ/dt_∞ ≈ 0 but > 0) and relict vacuum frozen at z_formation. Event horizon as observer-dependent property. Transition mass M_tr = 4.0 M☉ separating vacuum stars (no horizon) from frozen stars (horizon + core). Optical appearance of both populations. Observable consequences for jet formation and polarisation.

#33 — Gravitational-Wave Signatures and the Complete Falsification Programme Target: Physical Review Letters (GW section) + Astronomy & Astrophysics (falsification). Three GW channels: quasi-normal mode spectra of vacuum cores, gravitational echoes from the chiral transition surface (Δt ~ ms, amplitude ∝ z_formation), and tidal Love numbers k₂ > 0 for vacuum stars in the 2.2–4.0 M☉ range. Concrete waveform templates for LIGO, LISA, and the Einstein Telescope. Primordial GW background from membrane recoil: r ≈ 0.003–0.004, n_t ≈ −0.0004. Templates for LiteBIRD, CMB-S4, NANOGrav. Complete falsification programme with concrete thresholds, detection strategies, and statistical power analysis for LIGO, LISA, ET, EHT, JWST, Roman, CMB-S4, LiteBIRD, eROSITA, DESI, Euclid, 4MOST.

#34 — The Mass Spectrum of Collapsed Objects: Supermassive Seeds, the Mass Desert, and the Impossibility of Wormholes Target: The Astrophysical Journal. Vacuum-assisted direct collapse: M_seed(z) = M₀(1+z)^(−9/2), formation window z ≈ 10–15, self-termination at z < 5, seed masses 10⁴–10⁵ M☉. Comparison with JWST high-z SMBH observations. The mass desert: stellar ceiling ~300 M☉ (pair-instability), vacuum floor ~10⁴ M☉, gravitational recoil (100–4000 km/s) preventing sequential mergers, IMBH density ≤ 10⁻³ Mpc⁻³. Proof that traversable wormholes are impossible: vacuum pressure at the Kriger Limit has w = −1 (ρ + p = 0), insufficient for exotic matter (ρ + p < 0). No QCD vacuum configuration permits the violation.

#35 — The Running Vacuum, the Mass Hierarchy, and the DESI Evidence for Metric Relaxation Target: European Physical Journal C. Formal derivation of Λ as constant of integration in trace-free Einstein equations. Connection to the Solà Peracaula running vacuum. Proof that Λ₀ is the unique eigenvalue of the self-consistent Block. Rigorous derivation of m²_eff(R) = M²R/R_Pole from the running R² coefficient: the 10⁵⁵ mass hierarchy as a ratio of curvatures at two attractors. Derivation of w_eff(z) from the elastic potential of the R + R² metric. Comparison with DESI w₀–wₐ contours. Demonstration that the DESI deviation from w = −1 is the deceleration of relaxation, not dynamical dark energy.

#36 — Large-Scale Structure Tests: The Void Dipole, Peculiar Velocities, Foam Topology, and Cosmic Complexity Target: Nature Astronomy. The Hubble tension as a geometric artefact: dipolar H₀ signature around individual voids, stacking analysis from SDSS/DESI, resolution of 67.4 vs. 73.0 with zero new entities. Peculiar velocities: N-body extraction of tangential vs. radial components relative to void surfaces, prediction of predominantly tangential flow, comparison with SDSS/DESI catalogues. Foam topology: junction angles at filament nodes (predicted peaks at 120° and 109.47°), filament thickness δ(z) ∝ (1+z)², identification of repeating topological motifs vs. Gaussian random field prediction. Effective complexity: algorithmic compressibility of the DESI 3D galaxy catalogue, measurement in successive redshift shells, comparison with biological and AI networks. The cosmic web as an information architecture.

#36a — Kriger, B. (2026). The cosmic web as structured information: Compression, mutual information, and Zipf’s law in the DESI DR1 galaxy distribution. Entropy. Manuscript submitted for publication. https://doi.org/10.13140/RG.2.2.18955.66088

#37 — Kriger, B. (2026). Particle masses, vacuum screening, and the neutrino sector from a single coupling. IIIR Cosmology and Theoretical Physics. https://doi.org/10.13140/RG.2.2.33327.70560

Paper #38 — Kriger, B. (2026). CMB compatibility, confinement radiation, and the gravitational wave background from one action. IIIR Cosmology and Theoretical Physics. https://doi.org/10.13140/RG.2.2.19905.93280

SUMMARY

CategoryPapersCount
Completed / submitted#18–#2912
To be written#30–#3910
Total Volume II#18–#3922

PRIORITY RANKING

Tier 1 — Immediate (2026–2027)

PriorityPaperReason
1#30 (Galaxy fitting)Direct observational test against SPARC/THINGS. Highest falsification power per effort.
2#33 (GW + falsification)Waveform templates for LIGO. Timely, immediately testable.
3#31 (Nonlinear vacuum + Pole)Closes the analytic backbone gap. All numerical and phenomenological work done.
4#36 (Large-scale structure)Uses existing SDSS/DESI data. Could resolve Hubble tension. High impact, low cost.

Tier 2 — Near-term (2027–2028)

PriorityPaperReason
5#35 (Running vacuum + hierarchy + DESI)Comparison with DESI Year 3+. Timely. Candidate mass hierarchy solution.
6#34 (Mass spectrum + wormholes)Testable against JWST high-z SMBHs. Completes the collapsed-object mass function.
7#37 (Particle masses + gauge group)If confirmed, eliminates multiple SM free parameters. Requires lattice QCD collaboration.

Tier 3 — Medium-term (2028–2030)

PriorityPaperReason
8#32 (Collapsed object interior)Complete internal theory. Required before LISA launch.
9#38 (Speed of light + primordial spectrum)Templates for LiteBIRD. Eliminates last SR postulate.
10#39 (Structural foundations)Capstone paper. Deepest foundational questions. New mathematical tools needed.