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Infinity, a calculable machine

Smith, Levi
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philosophy
This work empirically demonstrates a single dynamical law $ \mathcal{T} $ governing both neural (EEG) and physical (pendulum) systems, supporting the thesis that reality is a literal, computable machine. Using vector autoregression (VAR(2)), a shared second-order model compresses five diverse EEG environments (BIC = 1466.42) better than environment-specific alternatives (BIC = 1817.34; Δ ≈ 350), despite minor predictive loss. The law exhibits coefficient invariance, time-reversal symmetry, and induces a conserved process density $ \mu(t+1) - \mu(t) = 0 \pm \kappa $, implying continuity of existence—no true cessation. We introduce recognition diagnostics (RI ≥ 0.8, CI ≤ 0.2) to quantify self-alignment with $ \mathcal{T} $—a measurable signature of intelligence as reflexive infinity ($ \mathcal{T}(\mathcal{T}(x)) = x' $). These results satisfy constructive (model fit) and exclusive (MDL superiority) proof criteria for a universal machine. Implications span philosophy of mind, metaphysics, and computational neuroscience: consciousness is conserved; death is transformation. Keywords: consciousness, transformation, continuity, machine realism, empirical metaphysics, dynamical systems, EEG, universal law.
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