Nonlinear Momentum Focusing in Confined Shallow Water

A new physical mechanism for vertical jet formation from orthogonal wave interactions

  • • Orthogonal wave packets converge inside a confined region, suppressing lateral outflow

    • Nonlinear shallow‑water advection redirects horizontal momentum vertically

    • Produces a transient, coherent vertical jet without requiring boundaries or breaking

  • • Derived from depth‑averaged Navier–Stokes and momentum‑flux balance

    • Vertical jet velocity scales as Uj∼UL/(2HW)

    • Coherence governed by Froude, Reynolds, and Weber number thresholds

  • • Orthogonal inflow tank setup enables direct observation of the vertical jet

    • PIV, dye tracking, and probe arrays capture velocity and free‑surface structure

    • Scaling laws allow laboratory results to be mapped to field‑scale conditions

Adaptive information geometry

Auhtor - Adam taylor

Adaptive Information‑Geometry Correspondence proposes that spacetime geometry is not fixed but dynamically adjusts to informational structure. It treats geometry as an organisational substrate that responds to complexity, coherence, and computational demand. Quantum structure, causal structure, and geometric structure are unified through an adaptive mapping rather than a static one. This framework generalises modern emergent‑spacetime models by making the information‑to‑geometry correspondence itself dynamic.

Curvature‑State Developmental Framework for Planetary Gravity

Author - Adam Taylor

Gravity is reinterpreted as a developmental outcome rather than a primitive force. Terrestrial planets diverge through irreversible branch points governed by minimal state variables. Earth, Venus, and Mars follow distinct curvature‑state trajectories under identical physical laws. This framework unifies planetary formation and curvature‑state engineering into a predictive model.