◌ Cosmology
The implications of a finite, positively curved S³ universe on the largest scales, exploring baryogenesis, the Hubble parameter, and dark matter.
Important Note
Cosmological redshift is the conformal ratio 1+z=1/a(t)=R₀/R, with H(z)=H₀(1+z). That definition is modelled [M]. The flat one-component equivalent is w=−1/3. A stationary container does not enforce Ġ=0. The join stays open. The geometry spoke is linked from measey.com.
Core Concepts
S³ Cosmology
Conformal redshift 1+z=R₀/R [M], coasting H(z)=H₀(1+z), with w=−1/3 as the one-component equivalent. R₀=10646.75 Mpc at H₀=68.973. Distances, the lunar-laser ratio 928, and the vacuole distinction are on this page. The join stays open.
Baryogenesis
The baryon-to-photon ratio is not a derived output. The half-filling census is packaging. Drainage length L_drain=R/2 is that same half-filling, not a new census. Pair creation is the instantaneous vertex, and it is net-zero.
Bubble Nucleation
The pair vertex is [M packaging]. R₀/√2, 2πR₀, and the 45° pitch are [E algebra]. The cut, charge, Hopf labels, and the manifold spawner stay [O residual]. Token BN1 stays unissued. The bulk field equation stays open.
Hubble Parameter
The Genesis splice is placed [M packaging]. At CODATA G, named as K=c⁴/G, the evaluation is 68.973054 (codata_2022) and 68.9730537 (codata_2018) [E algebra]. Printed 68.97305 is rounding. Baseline H₀=68.973 and 3/8 stay [P]. The derivation token stays unissued. Ω_k=−1/6 is not a sky density.
Leftover extra-Φ
Constitutive W is OPEN, not established. Named lookalikes are written kills so the mills are not redone. GitHub is private; proofs are on this hub.
Galactic Current Drift
The net current in the warm ionized disk slips at 8.94 nanometres per second. A carrier travels 0.282 m in a year and 3.39 km in 12,000 years. The particle halo is retired as inventory. This current is not that retirement.
Local Stellar Stream
At 135 pc and 20 km/s the Sun–Pleiades circumference is 41.5 million years. At 50 pc the Lorentz force on a neutral star is zero, and the gas line’s gravity is 6.13×10⁻¹² m/s². The particle halo is retired as inventory. This rope is not that retirement.
Critical Filament
At 10 K and 0.05 pc the critical line has n_H2 = 2.98×10⁴ cm⁻³ and a Bennett current of 2.70×10¹³ A. A four-diameter fragment holds 6.48 solar masses and circularizes at 644 AU.
Ionization Mixture
Iron-group elements are ionized from 3000 to 6000 K. Hydrogen runs from about 5×10⁻⁹ to 0.98. The core seat stays closed.
Stellar Types
The cold Fermi pressure at the inserted density is 1.776×10¹⁷ Pa. The Hale period prints 22.01 yr. The inserted iron-peak maximum is A* = 59.864. The electron-scale length assigns no remnant radius. The taxonomic join stays modelled.
Isorotation Potential
The equatorial potential is 3.204×10¹¹ V per tesla. The printed pair is 11.00366 yr, which prints as 11.004 yr. A coaxial return on the Sirius length gives 27.02 yr. The dynamo-flow seat stays closed.
Open Coronal Hole
A factor-of-ten adiabat lands at 0.323 MK. At 10 G and 10⁷ cm⁻³ the Alfvén speed is 6897 km/s. The isothermal integral at 0.8 MK is 419 km/s at 1 AU. The 10 G field does not enter that speed.
CMB Angular Scale
An inserted 147 Mpc cell on R₀ gives ℓ≈227.5, 3.2% from the quoted peak 220.5. The native comparison π√18≈13.3 against ~220 stays. The exact 220.50 formula is withdrawn. The spectrum stays open.
CMB Quadrupole
The placed pair is 225.895 against 1016.730 μK², a 77.78% deficit. The S³ factor of 5.56% covers 7.14% of it and does not resolve the anomaly.
Dark Matter
The particle halo is retired as inventory. Book G leftover extra-Φ stays OPEN, not a paid tensor. Knot condensate and Birkeland-as-missing-mass stay written kills. Ω_CDM=0 is not written.