Dark Matter As a Mix of Neutral Chaoitons and a Bosonic Force (J field waves):

The nature of dark matter remains unknown after four decades of increasingly sensitive

searches. Weakly Interacting Massive Particles (WIMPs) are excluded over most of their

natural parameter space; axions remain undetected; the conventional smooth‑halo picture is

demonstrably wrong at the scale of our own solar neighborhood. We present the neutral

chaoiton — a stable, time‑periodic, localized l=1 soliton of the Ouroboros Lagrangian — as

a concrete, falsifiable dark matter candidate requiring no new free parameters. The model also

predicts J‑field wave components of light mass and bosonic character, behaving like photons;

the empirical data point to a mix of both aspects. The Ouroboros Lagrangian (Werbos 2026,

Paper I) is a superrenormalizable classical field theory whose soliton solutions follow from the

classical equations of motion, independently of the quantization. The neutral chaoiton has mass

m_χ = 0.460 MeV and J‑field mediator mass m_J = 0.618 MeV. Its l=1 angular structure

forces the zero‑momentum electromagnetic coupling to vanish by an exact angular‑momentum

selection rule; the leading dipole interaction gives a chaoiton–proton cross‑section

σ_p = 9×10⁻⁴¹ cm², eleven orders of magnitude below LZ CRBDM limits. The self‑interaction

is likewise dipole‑suppressed to ∼10⁻⁶ cm²/g, compatible with the Bullet Cluster bound, so

chaoitons can constitute 100 % of dark matter. The two‑component picture (chaoitons + J‑field

waves) remains a physically natural possibility whose local manifestation can be probed by the

six‑peak annual modulation from Gaia Dark Shards, providing a falsifiable signature for a

dedicated J‑field sensor.