Light in Light Bubbles — Gravitational Light in the Phraqtal Field

Tension fronts as spectral carriers, redshift, matter formation and binding, and gravity from a common field action. This work develops an effective orientation and loading model of the Phraqtal Field within the Universal Quantum Foam Hypothesis. A common action determines the field equations, energy exchange, and gravitational source; general relativity describes its geometric response. Analytical comparisons of fronts relate encounter angle, phase, and energy to loading and twist. An arrival-time mapping distinguishes source cadence, geometric offset, and the selection of effective front portions. Static three-knot comparisons complement a stationary core solution. In the boundary-value case studied, a regime channel changes the central loading by a relative amount of 6.4 × 10−3, the field energy by −2.1 × 10−6, and the integrated active source by 2.6 × 10−6. The outer envelope is a standing wave with vanishing net flux and requires incoming waves. Extending it unchanged to infinity would produce a linearly growing mass; it is therefore associated with a finite matching region. The regime channel is a quasistatically eliminated nearest-neighbor chain with potential 𝑈eff. Its energy scale ℰΣ = 𝑈(𝜁𝑐 )/2 is chosen at the reference point and subsequently held fixed. No quantitative mapping to baryons, SPARC, or a phenomenological Q-switch is made here. The chosen initial front data are topologically trivial. Smooth norm-preserving evolution with a fixed vacuum boundary preserves this class; forming a net Hopf charge requires an additional transition mechanism. The golden ratio is derived as a geometric and recursive comparison case. The reproducible data are on https://doi.org/10.5281/zenodo.23695749