Anatropic

Khronon τ Framework

One equation — Σ = D(ρspacetime ‖ ρmatter) — connects quantum information, thermodynamics, and gravity. Different boundary conditions yield galaxy rotation curves, black hole physics, and cosmological structure — all from quantum relative entropy, with zero free parameters beyond a0 = cH0/(2π).

gobs = gbar / (1 − exp(−√(gbar/a0)))
Khronon RAR — a0 = 1.13 × 10−10 m/s²
12
Weak-field tests
10
Tests passed
0
Free parameters
175
SPARC galaxies
🎯
12 Weak-Field Tests
Comprehensive generality report: BTFR, RAR, lensing, bars, TDGs, escape velocity, wide binaries, and more. Score: 10/2/0.
Quantitative
📊
Observational Scorecard
Head-to-head comparison of Khronon vs ΛCDM across key observational benchmarks with verdict icons.
Comparison
🌀
Rotation Curves
Interactive SPARC rotation curve fits. Compare Khronon prediction (zero free parameters) against observed data for individual galaxies.
Quantitative
3D Galaxy Cluster
Interactive Three.js model comparing ΛCDM (NFW halo + galaxies + ICM) vs Khronon (Σ field) cluster structure. Three zoom scales.
3D Visualization
🌌
Two Universes, Same Data
Scale-by-scale comparison: how ΛCDM and Khronon interpret the same observations differently, from cosmic web to solar system.
Comparison
🔭
Predictions & Future Tests
25 predictions organized by status: confirmed, testable now, mathematical, and future frontiers. What can and cannot be tested.
Theory
💥
Bullet Cluster
τ field relaxation explains the 150 kpc lensing–gas offset. State-dependent dissipation: Γstars≈0, Γgas≫1.
Theory
🧪
τ Field Simulation
Real-time 3D density and τ field visualization. Watch the Khronon field evolve with adjustable parameters.
3D Visualization
💻
Source Code →
Full source on GitHub: computation scripts, SPARC data processing, web visualizations, and paper drafts.
Repository

Paper Series

Paper 1 τ = 1−F: Temporal Asymmetry from Petz Recovery Published
Paper 2 Exponential Metric from Channel Σ Draft
Paper 3 η=1 + Weak-Field Galaxy Dynamics Draft
Paper 4 μ0 = H0/c Grand Unification Draft
Paper 5 Complementary Uncertainty Theorem Draft
Paper 6 Thermal QRE & Cluster Mass Problem New
Paper 7 τ Relaxation & Bullet Cluster New