Modern foundational physics often begins by assuming spacetime and fields before the observer enters the story. Here we reverse that order. We study an explicitly prespecified 1+1D closed reversible computational substrate—a periodic q=3 ring evolved in discrete reversible time—and ask what a finite internal observer can reconstruct without oracle access, lookup tables, or nonlocal shortcuts. Within this setting we recover operational proxies for object boundaries, finite gauge quotients, localized holonomy residuals, curvature-mediated scattering, inverse scattering tomography, noisy curvature-field reconstruction, dynamical backreaction, and a minimal effective equation. The key interpretation is informational rather than ontological: field-like structure appears as the minimum-description-length compression strategy available to a bounded observer confronting reversible microscopic dynamics. The validity of the resulting effective description is controlled by a finite capacity wall, summarized by the order parameter phi = Cᵢnf - sigma: positive phi supports transfer, zero phi marks a finite critical edge, and negative phi requires ambiguity or rejection. A machine-audited no-go layer rejects continuum-limit overclaim, arbitrary refinement, quantum error correction, Yang-Mills identification, lookup-table memorization, oracle access, nonlocality, and other illicit upgrades. The result is not a derivation of continuum physics. It is a finite theory of disciplined emergence: on a prespecified 1+1D reversible substrate, effective gauge-field proxies can arise for an internal observer, and their honest boundary can be drawn sharply.
Xiang‐Rong Hao (Wed,) studied this question.
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