Knuth derives additive, product and contextual chain rules under specified lattice, continuity, identity/inverse, compatibility and distributivity assumptions. Signed and non-partition relevance can be negative. Mathematical examples and prospective applications supply no new UAP observations. Native entropy-label and version-date conflicts remain unresolved.
■ Complete supplied paper text; qualified native figures and tables
Kevin H. Knuth, Michael Habeck, Nabin K. Malakar, Asim M. Mubeen, Ben Placek. knuthlab.org. June 29, 2015.
Knuth and colleagues explain Bayesian evidence, prior-sensitive model comparison and approximate estimation. Their examples show how assumptions, dependent observations and numerical uncertainty affect apparent model winners. The paper provides methods context for evaluating claims; its sensor example overlaps an earlier study and supplies no independent UAP observations.
■ Complete supplied methods text and selected native figures/tables read
Knuth connects ordered-event projections and measurement-sequence inference to an at-rest 1+1-dimensional Dirac checkerboard model. Coordinated observers, local flatness and chosen amplitudes condition the construction. A mass relationship is hypothesized and higher-dimensional extension proposed. This theoretical lineage supplies context rather than independent UAP observations.
■ Complete supplied preprint text and selected native diagrams read
Knuth develops valuation and inference rules on ordered lattices under stated assumptions. This formal methods paper supplies no empirical UAP observations; proof, normalization and later-rendering issues remain explicit.