Published June 5, 2026 | Version v1

Revised Mirror-to-Baryonic Ratio with Structured Boundary Factor

Authors/Creators

  • 1. Independent Researcher, Winnipeg, Manitoba, Canada

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

Theorem T-109

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Revised Mirror-to-Baryonic Ratio with Structured Boundary Factor.pdf

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Additional details

Related works

Is part of
Preprint: 10.5281/zenodo.19928949 (DOI)