αLGQV — Nine Volumes
IIIR Cosmology and Theoretical Physics · Research programme 2025–2026

αLGQV

Nine
Volumes
Local Gravitation of Quantum Vacuum — from the initial state of energy to the observed universe, without dark particles and without singularities
Boris KrigerInstitute of Integrative and Interdisciplinary Research, TorontoInformation Physics Institute, Gosport, UKORCID 0009-0001-0034-2903
9
monograph volumes
0.005
vacuum coupling from QCD sigma terms
0
new particles or forces
1
action for the whole model
20
refutable observables
I
Dark sector
II
Singularities
III
Data
IV
Algebra
V
Strong sector
VI
Persistence
VII
Information
VIII
Initial state
IX
Confinement limit
Start here

What if 95% of the universe is not missing?

Standard cosmology assigns 27% of the universe to dark matter and 68% to dark energy, neither of them detected. The programme starts from three established facts: empty space has energy, energy has mass, and mass gravitates. The vacuum must gravitate; the question is how.

In 1967 Zel'dovich identified the cosmological constant with the vacuum energy density. The identification was adopted, never derived. Removing it, and letting the vacuum respond to matter locally, turns the missing mass into the weight of vacuum captured in gravitational wells — with a coupling measured in nuclear physics, not fitted.

The single move · Vol. I

Λ and ρvac are physically distinct

The cosmological constant belongs to the field equations, the vacuum energy to quantum fields. Separating them dissolves the 10120 discrepancy. Only contrasts of the vacuum gravitate: a uniform vacuum pulls towards no point.

αV = σ / [3 mN(1 + κ)] = 0.0050
σ = 90 MeV, the measured nucleon sigma terms · κ = 5.38 ± 0.05, the captured ratio fixed by the acoustic peaks · baryon fraction 1/(1+κ)
One action · Vol. VIII

Gravitation switches on with the condensate

S = ∫N√h [c⁴𝓡mod/16πGeff(σ) + 𝓛χ + 𝓛m]
    + (k/2)∫τ∧dτ + Sdiss,   Geff = G(σ/fπ)3/2

One action gives the Carrollian beginning, the vacuum's w = −1, Newton's constant from the pion and the relaxation of the vacuum. At the beginning the condensate is zero, and so is gravitation.

G = gA²mN²ħ² / (8π fπ² c τ mπ³): the pion binding of the vacuum diluted by the memory of its network, τ = 7.7–8.7 Gyr.

The nine volumes

Each a monograph with glossary, timeline and index
I569 pp

The Local Gravitation of Quantum Vacuum: A Unified Solution to the Dark Sector

Separates Λ from the vacuum density and derives the vacuum–matter coupling from QCD.

  • α ≈ 0.005 from nucleon sigma terms
  • Vacuum capture: flat rotation curves, baryonic Tully–Fisher, a₀ ~ √(Λ₀G)
  • Self-screening: JWST early galaxies and the S₈ tension
II579 pp

The Consistent Universe — Singularities Resolved, Dark Sector Dissolved, Parameters Derived

Carries the programme to extreme densities and to the origin of the universe.

  • K-limit at ≈5 nuclear densities: finite cores, no singularities
  • Transition mass ≈4 M☉ between vacuum stars and frozen stars
  • RP³ topology; η = α⁴ for the baryon-to-photon ratio
III420 pp

Predictions Confirmed: NANOGrav, P-ACT, DESI, Big Ring

Sets the programme against the observations of the present decade.

  • The nanohertz gravitational-wave background
  • CMB anomalies and the DESI dark-energy results
  • Large-scale structures such as the Big Ring
IV780 pp

ICAST: Imaginary Component Attribution Swaps Theory

A complex algebra for foundational physics built on one antilinear involution.

  • Real and imaginary attribution exchanged by σ, σ² = 1
  • Conjugate observables as σ-related pairs
  • The algebra beneath the strong-sector volume
V928 pp

Topology of Quantum Chromodynamics and Isotopology

Confinement as closed topology; nuclei as multibaryon configurations.

  • Skyrmion-based nuclear topology and magic numbers
  • The σ-term route to the cosmological constant
  • A cosmological synthesis including baryon asymmetry
VI537 pp

Structural Persistence and Coherence Analysis

A topological–dissipative method across ten physical scales, nucleon to cosmic web.

  • SPCA and TDAS defined, with their limits
  • Ten cases across scales
  • Relation to other methods stated
VII416 pp

The Information Substrate Theory

Information as the name of differentiatedness; the known measures as projections of one substrate.

  • Six projection axes of information
  • Known measures classified as projections
  • A substrate described without time, space or number
VIII447 pp

The Carrollian Initial State Cosmology

The keystone: energy before form, one action, an observational manifesto.

  • The beginning as a Carrollian manifold on RP³ rotating at c
  • Geff = G(σ/fπ)3/2: no gravitation at the beginning
  • Keystone: inputs of the other volumes turned into consequences
IX278 pp

The QCD Confinement Limit: Deconfinement in Supernovae, Nucleosynthesis and Black Holes

Deconfinement in collapsing matter, above the density of the heaviest neutron stars.

  • Supernovae as a sudden loss of gravitating mass
  • Heavy elements by re-confinement of deconfined clumps
  • Black-hole cores of fixed density; no light primordial black holes

Numbers, scales and tests

Values of Volume VIII where it revises earlier ones
QuantityModelObservedVol.
Vacuum–matter coupling αV0.00500.003 (growth)I, VIII
Cosmological constant Λ₀ (m⁻²)1.8×10⁻⁵²1.1×10⁻⁵²I
Baryon-to-photon ratio η = α⁴6.20×10⁻¹⁰6.12×10⁻¹⁰II
Muon mass105 MeV105.7 MeVII
Tau mass1770 MeV1777 MeVII
Captured ratio κ = ρcap/ρb5.38 ± 0.05from the peaksVIII
Cluster baryon fraction0.157, all z≈ 0.156VIII
First temperature110–126 MeV—VIII
Curvature |ΩK|≤ 0.00310.0007 ± 0.0019VIII
Memory of the vacuum network τ7.7–8.7 Gyr> 3 GyrVIII
dGW/dEM at z = 0.51.35–1.40Ξ₀ = 1.4+1.0−0.4VIII
Tensor-to-scalar ratio r≈ 0< 0.036VIII
Cosmos
~10²⁴ m
Architectural: the web and the expansion
Galaxy
~10²⁰ m
Dominant: flat rotation curves
Star
~10⁸ m
Negligible: ΔM/M ~ 10⁻²⁸
Atom
1 fm – 1 Å
Suppressed by Pauli exclusion
Nucleus
< 1 fm
Zero: sequestered by confinement

What would refute it

  • A dark-matter particle that accounts for the missing mass
  • Λ = 8πGρvac derived from a fundamental principle
  • α excluded from 0.001–0.01 at more than 5σ
  • Satellites in a capture region with dark mass of their own; halos without edges
  • A primordial tensor signal at any detectable level
  • A confirmed crossing of w below −1 that survives a change of anchor
  • dGW/dEM = 1 at redshift 1
  • An open spatial curvature, ΩK > 0

Instruments that decide

2026–2040
ET · CE · LISA
Standard sirens: dGW/dEM = 1.59–1.67 at z = 1, the same at every frequency
LiteBIRD · CMB-S4
r ≈ 0; low-ℓ EB four orders below a uniform rotation
DESI · Euclid
w ≥ −1 at every redshift
PTA · SKA
Nanohertz spectrum: γ = 13/3, or a peak at 15–32 nHz
Einstein Telescope
Kgr-radiation from the core of Sgr A*, 5–50 Hz
Galactic supernova
Neutrinos and waves of deconfinement in the collapsing core
H I surveys
Rotation curves declining at the capture radius