TimesArrow Numerics

Numerical simulations for time reversal symmetry in quantum gravity

Published

July 2, 2026

Modified

July 14, 2026

Last updated: 2026-07-14 13:48 IST

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Explore all simulation runs, results, and figures in the interactive TimesArrow Numerics Dashboard →

Overview

This site documents the numerical simulation program for the paper “Gauging Time Reversal Symmetry in Quantum Gravity: Arrow of Time from a Confinement–Deconfinement Transition.”

All simulations use the ts-quantum TypeScript library for SU(2) algebra, intertwiner construction, and tensor operations.

Simulation Tasks

Task Focus Status Priority Last Updated
T31 Deconfinement (Polyakov Loop) 🟢 Phase 4 Complete P1 2026-07-14
T25 Volume Operator Extension 🟢 Complete P1 2026-06-29
T20 Z₂ LGT Monte Carlo 🟢 Phase 3 Complete P0 2026-07-10
T23 Entanglement Entropy 🔴 Blocked (T20) P1
T22 Spin Foam Amplitudes 🟡 Ready P1 2026-07-10
T21 CZX PEPS Ground State 🔴 Blocked (T22) P1
T24 Domain Wall Dynamics 🔴 Blocked (T20+T21) P2
T26 Coupled Matter 🔴 Blocked (T20+T24) P2

Philosophy

  1. Unified code base — All simulations share a common core (intertwiners, operators, utilities)
  2. Incremental complexity — Start with exact diagonalization (T25), build to Monte Carlo (T20), then tensor networks (T21)
  3. Reproducible artifacts — Scripts, data, and figures versioned alongside the paper
  4. Web-deployed — Results published as they become available

Data Registry

All simulation runs are tracked in a central registry (data/registry.json) with: - Run metadata (ID, timestamp, parameters) - Output file references - Results summaries - Task/phase organization

This enables systematic collation and reproducibility as the simulation program scales.