Tests & Benchmarks
What each comparison can establish
The research program uses mathematical criteria, numerical benchmarks and studies of observational data. These serve different purposes. A result is assessed against the assumptions and inputs of its originating paper, with fitted quantities kept separate from independently specified test quantities.
Mathematical criteria for specified models
Quadratic Closure derives a response relation for a one-heavy-mode realization of a stated normalization interface. The horizon-entropy paper derives an apparent-horizon Wald-entropy condition for a specified scalar–tensor action and cosmological branch.
These mathematical criteria can rule out a proposed realization within their stated hypotheses. Empirical tests additionally require a physical model and a comparison with observation.
Benchmark calculations
The flavor work uses CKM and PMNS reconstructions to test the available operator structure. The scale-selection work retains a historical normalization example with its prescribed reader, units and reference condition. Such examples expose what a construction can realize and which inputs still need a physical origin.
The current neutrino paper supplies conditional propagation bounds and mixture identities. Earlier fits to released posterior curves do not establish distinct physical neutrino branches.
Flavor reconstruction benchmarks
Scale-selection benchmark and conditions
Studies using existing observational products
Cosmological projections: a compressed-observable audit compares released strong-lens and weak-lensing products in a descriptive amplitude coordinate. It does not substitute for their full joint cosmological likelihood.
Cosmological tension-projection audit
From conditional models to observational tests
A forward observational test requires a physical branch, normalized sources, an observable map, an uncertainty model and data-selection rules specified independently of the test data.
Possible comparison areas include lensing, time delays, gravitational-wave transport and neutrino propagation once the relevant physical models are supplied. The current gravity papers keep source, profile and propagation assumptions separate; a common suppression factor is not assumed across these observables.
Gravity and observable interfaces
Physical curvature-matching requirements
Neutrino propagation interfaces
Computational support
Deposited code and data support checks of the reported calculations. Their physical interpretation depends on the theoretical assumptions and observational conditions stated in each paper.