The Electron Alphabet, the Cayley–Hypercube Family, and a Threefold Characterisation of n=4: Towards a Combinatorial Language Layer for the PDL-V Programme

This document reports three unconditional, computationally verified results: the electron's V4-orbit alphabet forms a maximum-distance linear code (minimum Hamming distance 3, zero redundancy at minimal pairs); K4 and C4 are identified as the dense and sparse Cayley graphs on Z2xZ2, embedding the electron in a super-exponentially growing hypercube family; and n=4 is shown to be singled out by three independently-derived arguments (DL01/DL02's triangle-count theorem, D66's spin-resolution theorem, and a new orbit-regularity criterion), sharing the exact algebraic factor (n-4). No numerical value for the PDL-V thresholds is established.