Framework
Five Laws, six primitive characters, six operators, thirteen theorems, and a single primitive law on energy and its rate of change. Self-contained: no constant, threshold, or scale imported from outside the cascade.
One framework. Every domain.
The σ-Uniformity Framework is a self-contained measurement and detection system — six primitive characters, six operators, thirteen theorems, one primitive law on energy and its rate of change — applied identically across fifteen disparate scientific domains, with no per-domain tuning.
The same framework, applied to every domain
Climate cascades, Navier–Stokes turbulence at Reynolds numbers from 101 to 1010, the LIGO GW150914 merger, the NANOGrav nanohertz pulsar-timing background, CMS Higgs open data, the Tohoku 2011 aftershock cascade, KPZ universality class exponents, 3D Ising critical exponents, Wigner–Dyson random matrix universality, Ricci-flow Type-I/Type-II classification, AME2020 nuclear binding energies, Wisconsin breast-cancer biomarkers, FRB 20180916B periodicity, TESS exoplanet transits — each is read with the same brake operator \(\mathcal{B}\), dispersion \(\mathcal{S}\), consensus \(\mathcal{M}\), spectral primitive \(\mathcal{P}\), anti-shadow detector \(\mathfrak{A}\), and scope-reporter \(\mathscr{A}\). Source: github.com/senuamedia/uniformity.
30
strong catalogue instances
15
scientific domains
13
framework theorems
6
named operators
Cross-domain catalogue — \(\beta\)-strip
Every brake-exponent reading the framework has produced, on a single \(\beta\)-axis. The same operator \(\mathcal{B}\) made every point. The vertical line at \(\beta = 1\) is Theorem 1's intrinsic threshold — the only universal threshold the framework admits.
Pure-Math
Fluid Dynamics
Gravitational Waves
Seismology
Climate
Click any point for the full reading: instance, domain, \(\beta\) value, and a link to the source code.
Validation
The catalogue: 30 strong instances, 3 partial, 3 honest negative findings. Cross-shadow universality calls (KPZ \(\sigma_\text{cross} = 0.004\), RMT 0.006), Theorem-3 precision-floor confirmations, and Theorem-10 anti-shadow detections.
Domains
Fifteen disparate scientific domains: fluid dynamics, particle physics, gravitational waves, exoplanets, seismology, nuclear, medical, fast-radio bursts, pure-math universality, climate, and five open directions. The same operators run on each.