Institute of Integrative and Interdisciplinary Research

The Institute of Integrative and Interdisciplinary Research (Toronto) reports a new result in its αLGQV cosmological program:

The program proposes that the spatial section of the universe is not infinite Euclidean space but the projective 3-manifold RP³ = S³/Z₂ — the 3-sphere with antipodal points identified. The choice is not arbitrary. RP³ is the unique closed, orientable manifold admitting a global double counter-rotation built from the two families of Clifford parallels — the left- and right-handed Hopf fibrations of the 3-sphere — turning with opposite chirality so that net rotation cancels. Earlier topological proposals (the 3-torus, or a static RP³) were excluded by the absence of matched circle-pairs in the CMB. The αLGQV topology differs in one decisive respect: it rotates. The differential twist of the counter-rotation evades the matched-circle constraint that excluded the static cases, while leaving distinct, testable imprints.

The program fixes the cosmological constant Λ from first principles, with no adjustable parameters. The vacuum of quantum chromodynamics (QCD) — the empty space of the strong interaction that binds quarks inside protons and neutrons — carries a calculable energy density. Its scale is set by measured nucleon sigma terms (σ_πN ≈ 59 MeV, σ_s ≈ 40 MeV), which quantify how much of a nucleon’s mass arises from the quark condensate of that vacuum. From these measured quantities alone the program obtains Λ and predicts a present-day expansion rate H₀ ≈ 71.7 km/s/Mpc. Late-time acceleration is not a fine-tuned constant but centrifugal relaxation of the rotating RP³: the scale factor follows R(t) = √(R₀² + c²t²), the geometric unwinding of the initial rotation.

The new study confronts the standard objection to any chiral cosmology — that the predicted galaxy-spin axis falls within the known cluster of large-scale “anomaly” axes and might therefore be a local artifact.

Redshift evolution as a discriminant between topological and kinematic cosmic chirality. IIIR Cosmology and Theoretical Physics. https://doi.org/10.13140/RG.2.2.14376.74248

Dynamic projective space: Double counter-rotation on RP³, the matched-circle evasion, and a galaxy-spin-chirality test. IIIR Cosmology and Theoretical Physics. https://doi.org/10.13140/RG.2.2.13800.02561

The program shows the question is decidable in redshift, not on the sky. A boost by our peculiar velocity is parity-even and cannot produce a handedness dipole; observational systematics are imprinted at detection and are achromatic in redshift; but an intrinsic chirality of cosmological origin grows with look-back time as (1+z). The slope of galaxy-spin handedness against redshift is therefore an unbiased discriminant with a clean null of zero slope. The test assumes nothing about whether the handedness signal is real: a flat slope leaves the cosmological reading unsupported; a rising slope excludes the artifact reading. A DESI bright-galaxy-scale sample can resolve the two at high significance now — without waiting for CMB-S4 or LiteBIRD — and cosmic birefringence tomography supplies an independent second channel.

Media & Collaborative Inquiries:

Boris Kriger

Institute of Integrative and Interdisciplinary Research (IIIR)

boriskriger@interdisciplinary-institute.org

ORCID: 0009-0001-0034-2903