The Walls of the Arc: An Ordered Ladder of Boundaries on the Arc, and the Epistemics of Its Walls

The arc from us to the beginning is not bounded by a single edge but by an ordered ladder of them, and the edges are not the same kind of thing. This working paper sorts them. Reading time backward along the complex winding e^((λ+i)θ), four boundaries appear in sequence — the cosmic microwave background, the gravitational-wave/neutrino freeze-out, the Planck scale, and t = 0 — and each fails for a different reason: a messenger wall (light cannot cross it, but other messengers could), a deepest reachable fossil, a framework wall (the stage itself dissolves, a theory problem rather than a data problem), and an undefined coordinate limit (there may be no first moment). The contribution is the sorting, together with one structural observation: t = 0 and the massless seam are the two ends where the winding’s own preconditions fail — the far mirror of the near-end work in The Common-Time Pocket. A logarithmic-time figure places both light-bounded walls and colours the intervening epochs by epistemic status: relic-anchored, lab-anchored, extrapolated, and where description fails. No quantity is derived; every number is imported ΛCDM. The contributed-number column reports none — and here “none” is the thesis, not a formality, because the paper’s whole claim is about where description must stop. The parent Euler Universe cosmology is reprinted as falsified; the logarithmic spiral is retained only as an interpretive lens, never as a cosmological claim. Claude (Anthropic) was used as an analytical and writing tool and is not credited as an author.