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The Ionic-Mechano-Hydraulic (IMH) model established that the action potential is a coupled ionic-hydraulic phase transition propagating as a pressure wave in the periaxonal space, with electrical events as causally secondary consequences.The present work extends this framework to the central nervous system and proposes a physical substrate for conscious experience.We propose that astrocytic syncytium is a power-law viscoelastic gel whose relaxation memory over 300--800 \, ms constitutes the physical substrate of the Libet temporal integration window, and whose continuous preconstraint by visceral C-fibre input ($\sigma_\mathrm{body}$) is the mechanical condition for feeling, providing a biophysical account of Damasio's clinical observation that \emph{feeling requires the body}. Monoaminergic systems constitute an analogical rheological supervisor that controls gel response time, memory depth, transition threshold, and spatial resolution globally and continuously, not routing discrete signals.This supervisor is not a vertebrate invention: it is present in plants and cnidarians before the first neuron. The nervous system was built around a pre-existing rheological controller, not the reverse.This constitutes a massively parallel analogical architecture operating simultaneously across five temporal decades from microseconds (periaxonal) to circadian (glymphatic), whose inter-level coherence constitutes conscious experience. The self is its characteristic rheological attractor.Eleven falsifiable predictions are presented, testable by magnetic resonance elastography, CSF biomarkers, and controlled pharmacological manipulation.The model is falsified if the astrocytic power-law exponent $\beta$ falls outside $[0.15, 0.25]$, or if the Libet window is found independent of CSF pressure, or if volatile anaesthetics show no common normalised dose-response curve between plants and vertebrates.