Open problemParticle Physics
Why exactly three fermion generations occur. Earlier notes asserting a forced N = 3 result belong to the superseded framework era and are retained as historical drafts; the question is held as an open branch target.
Open problemParticle Physics
The vanishing or suppression of the QCD vacuum angle, held as an open branch target requiring its own branch packet.
Open problemParticle Physics
Structural constraints on Yukawa couplings and fermion mass patterns as a branch target of the programme.
Open problemMathematical Physics
The gap between spectral-action-style bosonic structure and realistic Yukawa / fermion-mass data, treated as an open structural question.
Open problemParticle Physics
Whether and how unification structure beyond the Standard Model can be posed as a well-formed completion target in the programme.
Open problemMathematical Physics
Whether a universal spectral signature of admissible structure can be characterized; held as an exploratory open target.
Open problemFoundations of Physics
What makes a candidate law a physical law. This was the organizing question of the earlier Everything Equation programme; it is now held as a branch target whose earlier treatments are historical background to Papers 1-6.
Open problemFoundations of Physics
Whether any viable notion of physical law forces a common certification architecture, restated as an open structural question under the six-paper stack.
Open problemMathematics
The foundational status of the closure, admissibility, and completion mathematics underlying the framework, including its relation to category-theoretic and proof-theoretic foundations.
Open problemMathematics / PDE
Global regularity of the three-dimensional Navier-Stokes equations, held as an external mathematical target; earlier notes are historical drafts.
Open problemStatistical Mechanics
The thermodynamic arrow of time examined through coarse-grained readout structure, connecting to the statistical-mechanics instance treated in Paper 1.