The World of Nekudim.
Nekudim is the World of Chaos (Tohu) — the incomplete-Atzilut state that emerged before the cosmic structures were integrated. The breaking of the vessels happens here.
Op. 36 opens the longest unit in Klach: fifteen chapters (Op. 36–50) on the World of Nekudim. The chapter defines Nekudim as the World of Chaos — the cosmogonic state in which Atzilut, Beriyah, Yetzirah, and Asiyah were successively (not yet integrated). Out of this incompleteness comes the breaking, the fall, the production of evil, and the long process of repair that runs through the rest of the book.
Nekudim is the World of Tohu — the world of Chaos, drawn from Genesis 1:2's tohu va-vohu (formless and empty). It is also the cosmogonic locus of the 320 sides (per Idra Zuta 292b) — the Sparks of Tohu that scatter when the Vessel cannot contain the lights. The serpent that emerges from this scattering is the cosmogonic root of the Other Side; the kings of Edom (Genesis 36:31ff) are read by ARI as the Sefirot-of-Tohu who reigned before any king reigned in Israel — i.e., before the integrated structures of repair were instituted.
The etymology Klach traces is striking: Akudim, Nekudim, Berudim (from Genesis 31:10) — three stages of Lavan's cattle, read by the Lurianic tradition as three cosmogonic worlds. Akudim — bound; the cosmogonic state in which Vessel and Line were unified. Nekudim — pointed/separated; the state in which they began to articulate. Berudim — speckled/repaired; the post-repair state of integrated Atzilut.
The successive (un-integrated) state is the structural problem. Atzilut and BYA were successively — meaning they emerged in temporal-logical succession but had not yet been integrated into one functional cosmos. The Vessel could not yet contain what AK's lights radiated; the integration that eventually produces ABYA-as-one-world (Op. 38) had not yet happened. The breaking of Op. 46 is the operational form of this incomplete integration.
Op. 37 will state the first general principle: all damage and repair is rooted in the breaking. Op. 46 will describe the breaking itself; Op. 47 the repair. The 288 sparks unit (Op. 54–58) operationalises the breaking-and-repair arithmetic. The closing chapters (Op. 130–138) bring the cycle's repair to operational completion.