Finite Reflective Manifold Yields a Bottleneck at Four Dimensions

Michael Tomasson, MD

We construct a reflexive \{+1,-1\} manifold \psi_0 whose finite states form 16-bit motifs (C_{16}), represented as 2\times2\times2\times2 hypercubes. An empirical minimum of information density appears uniquely at D=4, defining a dimensional bottleneck. Under the 24-element orientation-preserving rotation subgroup, these motifs collapse to 3876 canonical classes. From this finite basis, we derive Hamiltonian, Laplacian, and Hilbert-space structures that together establish a discrete, reflection-positive analogue of Euclidean field theory.

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