Explore black hole physics through the LFM framework. Calculate Schwarzschild radius, Hawking radiation, evaporation time, and see how LFM's χ field resolves the singularity problem.
Classical GR Problem: At r = 0, curvature → ∞, physics breaks down
LFM Solution: The χ field has a floor term λ(−χ)³Θ(−χ) that prevents χ from going negative, ensuring spacetime remains well-behaved
// GOV-02: χ field equation
∂²χ/∂t² = c²∇²χ − κ(Σ|Ψ|² − E₀²)
+ λ(−χ)³Θ(−χ) ← Floor term!
χ ≥ χ_min > 0 always
The χ field depression around the black hole. At the event horizon (r = r_s), χ = 0 and light cannot escape. As you move away, χ recovers toward χ₀.
Red dashed line = event horizon (r = r_s). Purple dashed line = vacuum value (χ₀ = 19)
This black hole's tidal forces at the horizon are survivable! A human could cross the event horizon without being stretched apart.
Tidal acceleration difference across 1m: 5.980e-4 m/s²
Human lethal threshold: ~10× body gravity = ~100 m/s²
// Schwarzschild radius
r_s = 2GM/c²
// Hawking temperature
T_H = ℏc³/(8πGMk_B)
// Evaporation time
τ = 5120πG²M³/(ℏc⁴)
// LFM χ profile
χ(r)/χ₀ = √(1 - r_s/r)
// Floor term (GOV-02)
λ(-χ)³Θ(-χ), λ = 10
// Bekenstein entropy
S = c³A/(4Gℏ)