Stable Matter from Curvature Closure in ACORN: Electrons, Nucleons, Alpha Particles, Neutrinos, and Dark Matter

We present an intermediate pedagogical account of ACORN: a curvature-closure frameworkin which stable matter arises from discrete admissibility conditions on two coupled internalcurvature channels (NE and eq). In this picture, quantisation is recovered as integer loop-action closure rather than as a probabilistic axiom. The electron appears as the minimal stableeigenmode, the proton as the first high-order synchronised stable closure, the neutron as anear-closure configuration whose mismatch relaxes via defect emission (identified here with aneutrino-like mode), and the α particle as a further natural composite closure of exceptionalstability. We further extend the closure taxonomy to unstable charged leptons (muon and tau),interpreted as weakly closed electron-class modes: increased NE winding load with the sameequilibrium-loop topology.Within this closure ledger, simple integer synchronisation counts reproduce the correct or-dering of particle masses and provide a leading-order account of several key mass ratios. Weemphasise that this framework stands alongside the Standard Model: the Standard Model re-mains an effective and highly successful 4D bookkeeping description, while ACORN proposes ageometric ontology beneath it. Photons are naturally accommodated as null propagation modes,while many other members of the Standard Model particle list are interpreted as projection-effective descriptors or short-lived excitations rather than as required ontological primitives.Finally, we interpret the electron–proton–neutron–α hierarchy as the formative stable mat-ter spine and outline how the same closure principles may be extended toward bulk matterorganisation and early periodic-table structure.