Gravity as Pressure in Information‑Limited Gravity
A kernel‑to‑source recasting with predictions, falsifiers, and implementation notes
Recognition Science, Recognition Physics Institute — Austin, Texas, USA
Summary
Information‑Limited Gravity (ILG) can be expressed as standard gravity with an effective pressure source built by filtering baryons through the same global kernel that defines ILG. This is an exact change of variables: ILG’s modified Poisson and growth equations are equivalent to the classical equations with the pressure source. The pressure language clarifies implementation (pre‑filter baryons) and preserves ILG’s predictions for rotation curves, lensing, linear growth, and background evolution—without per‑galaxy tuning and with the same global kernel constants.
Abstract
We recast Information‑Limited Gravity (ILG) as classical gravity sourced by an effective pressure field. The pressure is built directly from observed baryons filtered through the same scale‑ and time‑aware kernel that defines ILG. This is a change of display, not a change of physics: the modified Poisson and growth equations of ILG are exactly equivalent to standard field equations with the pressure source. In the galaxy regime, the pressure profile multiplies baryonic contributions to yield flat rotation curves without per‑galaxy tuning. In cosmology, the same pressure language preserves ILG’s signatures in linear growth, lensing, and integrated Sachs–Wolfe trends while clarifying interpretation and implementation. We present the formal definition, an explicit equivalence theorem, a variational formulation, observational displays, and falsifiers—all using the same global constants and kernel rigidities that anchor ILG.
Key Points
- Define effective pressure \(p=\bar\rho_b\,w\!*\,\delta_b\) from the ILG kernel and baryons.
- Equivalence: ILG’s modified Poisson/growth eqs = classical eqs with source \(p\).
- Galaxy rotation curves and cosmology displays carry over; no per‑galaxy tuning.
- Variational formulation and falsifiers provided; same global constants as ILG.