Journal article
Summary A positive integer n is almost perfect if σ(n) = 2n − 1. Every power of 2 is almost perfect, and the conjecture that there are no others is open. This project does not prove it. It proves the conjecture for odd parts with at most two prime factors, with a machine-checked proof, and it…
Preprint
This note constructs an explicit tensor network from combinatorial data associated with the Mathieu group M11 and the extended binary Golay code, and tests it against two structures from the holographic tensor-network literature: the Ryu–Takayanagi minimal- cut entropy formula and the entanglement…
Journal article
This document develops a mathematical construction connecting the Golay code and Leech lattice, in twenty- four dimensions, to a four-dimensional, triality-based particle symmetry structure. Every computational claim is verified by 55 independently runnable Python scripts, provided as a separate…
Preprint
Whether a binary doubly-even self-dual [72,36,16] code exists has been open since 1973. This document does not settle the question; it maps, with certified exactness, the point at which the known methods stop, so that a future argument can begin there. On the way it proves the results below about…
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