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Is the Universe a Simulation

Faizal et al.\ (2025) argue that G\"odel--Tarski--Chaitin limits render a purely algorithmic Theory of Everything impossible, concluding that the universe cannot be a computer simulation. We demonstrate that this conclusion commits a quantifier overreach by conflating two distinct notions: (i) \emph{algorithmic simulation}, which attempts to compute all truths about the fundamental layer, and (ii) \emph{projection simulation}, which approximates observables on a well-posed shadow manifold. Within the Timeless Counterspace and Shadow Gravity (TCGS-SEQUENTION) framework, we show that the 4-D counterspace $\C$ functions as the Tarskian ``semantic truth'' (the \emph{Territory}), while the 3-D shadow $\Sig$ constitutes ``syntactic provability'' (the \emph{Map}). Undecidability theorems constrain the Map, not the Territory. Crucially, the TCGS framework provides a concrete geometric instantiation of the ``Meta-Theory of Everything'' (MToE) that Faizal et al.\ invoke abstractly: the projection map $\imm: \Sig \to \C$ plays the role of their external truth predicate $T(x)$, grounding non-algorithmic truths in geometric structure rather than meta-logical assertion. We prove three main results: (A) the undecidability-based no-go theorem applies only to algorithmic simulations targeting the Territory; (B) the shadow manifold $\Sig$ admits well-posed dynamics under a single extrinsic constitutive law, rendering all empirical observables computably approximable to arbitrary accuracy; (C) the inference from ``no algorithmic simulation of $\C$'' to ``no simulation whatsoever'' is a formal quantifier error. We conclude that non-algorithmicity at the source is fully compatible with deterministic, simulable shadow phenomenology---and that quantum complementarity, dark-sector phenomenology, and biological convergence all manifest as projection artifacts of this same geometric architecture.