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The Cosmic Score: 3D Volumetric Lattice & Torus Explorer

By Joseph Kasey Enckler — Interior & Exterior Schwarzschild Metric & $T^3$ Toroidal Geodesic Simulator

Mode 1: All-Pervasive 3D Volumetric Grid

Spacetime is not a flat 2D net underneath the planet. The 3D metric lattice permeates directly through the planet's interior, curving smoothly to maximum density and time-dilation at the core.

Exterior Metric ($r > R$) Interior Core Lattice ($r \le R$) Geodesic Test Particles
🖱️ Drag to Rotate 3D Space • Scroll to Zoom Inside Core
Foundational Seed Equation
F = (μ · E · g) / c²

Couples relativistic energy density ($E/c^2$) and local metric acceleration ($g$) with information-geometric resonance ($\mu$).

Interior vs. Exterior Metric
Φ(r) = -GM(3R² - r²) / 2R³  (r ≤ R)

Unlike the 2D funnel myth, the grid inside a planet follows a smooth harmonic parabola ($r^2$), preventing a singularity at $r=0$.

Universal Geodesic Law
d²xμ/dτ² + Γμαβ(dxα/dτ)(dxβ/dτ) = 0

Anything travelling through the invisible 3D lattice must follow the local connection coefficients ($\Gamma^\mu_{\alpha\beta}$) of the grid.