Neutrinos as a falsifiability test for a Principle of Least Information framework with an optional 7D–2t Janus embedding

Description

Abstract (English)

The neutrino sector remains the least structurally explained part of the
Standard Model: oscillations are established, but the absolute mass scale,
the Dirac-versus-Majorana character, the existence of sterile states, and the
size of leptonic CP violation are unsettled. This underdetermination makes
neutrinos a uniquely sharp domain for falsifying frameworks that penalize
gratuitous degrees of freedom. We analyze a Principle of Least Information
(PLI) approach, motivated by minimum-description-length reasoning, in which
the preferred physical description minimizes total algorithmic information
subject to empirical constraints. In contrast with many beyond-Standard-
Model constructions that accommodate neutrino data by adding flexible field
content, PLI yields exclusionary expectations: (i) neutrinos are nonzero-mass
but near-minimal; (ii) additional light active species are disfavored; (iii)
light eV-scale sterile neutrinos are strongly disfavored; and (iv) Majorana
character is favored over Dirac if it reduces field and parameter overhead. We
summarize the present experimental situation (PDG/global fits, KATRIN,
cosmological bounds, and 0νββ searches) and provide a decision-tree view of
near-term measurements that can substantially support or strongly challenge
the framework. A short appendix outlines how these PLI constraints may be
realized in a 7D–2t Janus embedding with a compact T 2 sector, while keeping
the main argument independent of any specific higher-dimensional ontology.