Revised Mirror-to-Baryonic Ratio with Structured Boundary Factor
Description
T109 replaces the ledger treatment of the factor \(G=9\) from T105 with a structural decomposition derived from the leakage and boundary architecture developed in T106-T108. Rather than entering as an assumed generation/boundary symmetry multiplier, \(G\) is expressed as
\[
G = 3_{\mathrm{triad}} \times 3_{\mathrm{boundary}} = 9,
\]
where \(3_{\mathrm{triad}}\) arises from the effective leakage-fibre reduction and \(3_{\mathrm{boundary}}\) arises from the rank-three boundary interaction space
\[
\mathcal{B}_Y
=
\operatorname{span}
\left\{
\Pi_Y,\,
K,\,
K^\dagger e^{tB}K
\right\}.
\]
Using this decomposition, the mirror-to-baryonic geometric ratio becomes
\[
\rho_{MB}
=
\frac{|B_5|\,G}
{|Q_5|\,D\,F}
\cdot
\frac{160}{161}.
\]
Substituting the established geometric quantities
\[
|B_5|=3840,\qquad
G=9,\qquad
|Q_5|=32,\qquad
D=8,\qquad
F=25,
\]
yields
\[
\rho_{MB}
=
\frac{3840\cdot9}
{32\cdot8\cdot25}
\cdot
\frac{160}{161}
=
\frac{864}{161}
=
5.366459627\ldots
\]
recovering the same numerical value obtained previously in T105.
The significance of T109 is structural rather than numerical. The factor \(G=9\) is no longer a bare ledger assumption but is resolved into independently motivated geometric components derived from the leakage triad and the boundary interaction space. This shifts a major portion of the ratio from phenomenological bookkeeping into the internal architecture of the Q5 framework.
After T109, the principal remaining unresolved denominator factor is
\[
D=8,
\]
whose derivation is deferred to T110. Candidate origins include the tesseract boundary structure, dual-tesseract orientation splitting, visible/complement sector normalization, or the \(Q_5=Q_4\times\{0,1\}\) decomposition yielding eight cubic boundary cells.
Epistemically, the arithmetic and the resulting value
\[
\rho_{MB}
=
\frac{864}{161}
\approx
5.3665
\]
are solid given the stated inputs. The structural decomposition of \(G\) remains conditional on the independence result established through T107-T108, while the geometric grounding of \(D=8\) remains the next open derivation target in the ratio program.
Notes
Files
Revised Mirror-to-Baryonic Ratio with Structured Boundary Factor.pdf
Files
(206.9 kB)
| Name | Size | Download all |
|---|---|---|
|
md5:126246a401d281da1a16dc4c9b283018
|
206.9 kB | Preview Download |
Additional details
Identifiers
Related works
- Is part of
- Preprint: 10.5281/zenodo.19928949 (DOI)