Cosmology

Openη_B is not derived. The half-filling is [M packaging]. The Chern–Simons estimate below is not that census.

Baryogenesis

The baryon-to-photon ratio is not a derived output. Handle segregation is a modelled Ampère package [M]. The multi-body integral stays open.

Doctrine v1.1.13: The baryon-to-photon ratio is not a derived output. The modelled census is the half-filling N_b,hemi = 1/2 N_pack = 3.618867×10⁷⁷ [M packaging]. Drainage length L_drain=R/2=5.32 Gpc is packaging of that half-filling, not a new census. Telescope counts stay [O residual]. Pair creation is the instantaneous vertex, and it is net-zero. The estimate below is an older sketch, not that census.

The placed census is one proton mass per tube, split evenly: under [M packaging]. Telescope counts stay [O residual]. In that package the global totals of baryon number, lepton number, and charge are zero. The figure is the retired external target, not this census. The sketch below is an older Chern–Simons estimate. It is not the placed account.

Drainage of the same half-filling

Thermodynamic drainage length is packaging of the half-filling above. It is not a second census. The neck depth is [E algebra] of the clothes lock [M]. Discrete survey containment in is [M packaging]. Local neutrality is [M packaging] of capture plus positron clearance. None of these rows writes . The census token stays unissued. Prospective telescope counts stay [O residual].

Chern-Simons Dynamics and Sakharov Conditions

During the nucleation of the S³ universe from a topological bubble, the Chern-Simons number undergoes rapid change. Since is not conserved during topology change, this naturally fulfills the first of Sakharov's conditions.

  • Baryon number violation: Topological transitions on the S³ boundary violate baryon number.
  • C and CP violation: While CPT is a discrete symmetry, C is broken by the Hopf orientation of the nucleating bubble.
  • Out of equilibrium: The bubble nucleation event is rapid and far from thermal equilibrium.

The Rate Asymmetry

The CS term in the S³ action introduces a bias in the pair creation rate between matter and antimatter states during the rapid bubble growth phase. This leads to a rate asymmetry:

CS Rate Asymmetry

This leads to a numerical estimate for the baryon-to-photon ratio today:

Baryon Asymmetry Estimate

The Asymmetry Carrier

While the rate asymmetry is established, the exact physical mechanism that converts this topological preference into a specific baryon orientation is the subject of the ongoing BN4 (Bubble Nucleation) programme.

Integrity Status [M]: Maturing

The derivation of the CS rate asymmetry is maturing [M]. However, the identification of the specific "asymmetry carrier" remains an open investigation [O].

Source Documents

The primary research documents underlying this page. All files are freely viewable and downloadable. They represent the working research as written — including integrity tags, equations, and finding IDs.

Documents open in the CPT Research Library — a formatted viewer for all source research files.