General relativity treats gravity as smooth spacetime curvature; quantum mechanics treats forces as
particle exchange. Quantum gravity tries to unify both — at the Planck length (~10⁻³⁵ m) spacetime
itself is conjectured to become a fluctuating "foam" instead of a smooth manifold.
Planck length: ℓₚ = √(ħG/c³) ≈ 1.6×10⁻³⁵ m
Classical dip: h(r) ∝ −GM/(r c²) (weak-field metric)
Foam fluctuation: δg ~ (ℓₚ/λ) — negligible above nuclear scales
- Classical / Quantum foam toggle — switches the spacetime mesh between a smooth GR curvature dip and a fluctuating quantum foam texture.
- Mass separation — distance between the two masses; widens or narrows the curvature well between them.
- Foam amplitude — how strongly Planck-scale fluctuations perturb the mesh in quantum mode.
- Graviton exchange rate — frequency of animated graviton pulses traveling between the two masses.
- Mesh resolution — grid density of the spacetime sheet (visual fidelity only).
Real-world relevance: reconciling GR and QM is central to describing black hole singularities, the
first instant of the Big Bang, and Hawking radiation — active research areas include string theory
and loop quantum gravity.