One-Octonion Brane-Bulk Framework - Paper CCCLXIX: Finite Fusion at the e7 Junction: Candidate Duality Interfaces and Re-entry

The e7 return junction is studied through two specified finite fusion-category completions. With the brane algebra taken to be the regular convolution algebra of PSL(2,7), the full-group interface returns the regular representation, while an involution-subgroup interface gives two induced-representation returns. The calculations distinguish daughter tensor factors, alternative total sectors, categorical dimensions, and the auxiliary dimensions of explicit tensor realizations.

The physical interpretation retains one common matter wave, its weighted Reidemeister transformations, conjugating AdS reflection, and splitting when sampled at the brane. The outward sinc spectrum and return reconstruction are interpreted through a finite junction aperture. Exact derivation of the physical sampling kernel, particle-resolved amplitudes and junction intertwiner is assigned to future work. The completed results are conditional finite-group calculations and an algebraic local/string-correlation control.

The record contains the paper PDF and a reproducibility archive with verification scripts, exact results and manuscript sources. Author: Bharathi Dasan Jagadeesan, M.D. License: CC BY 4.0.