C01.1 · Interpretation

The positive result is a completely specified, locally executed carrier implementation with an exact multiplication tensor, multiplicative indefinite norm, verified alternativity, and exhibited zero divisors and non-associativity. The independent product implementations agree as polynomial maps. “Independent” here describes two code paths written in this reply; it does not mean a second reviewer or an independent house execution.

The calculation makes the exposition checkable, but it does not make the physical choice of this carrier necessary. That limit is already printed in Paper 1’s abstract. Nor does a correct carrier automatically repair a false identification later in a mass, gauge or observation-map argument.