Einstein Master Equation — Minimal Verifier & Navigator

Symmetry budget → C (covariant continuity); EM & Λ → E (field mismatch). Includes: Classical Unified (GR+EM, no QM), Λ sign, EM stress tensor (plane wave), CST kernel, Wheeler–DeWitt “forbidden” overlay, run logs, CSV/JSON export & print. Credit: Gabino Casanova.
Keep E = ‖G + Λg − (8πG/c⁴)Ttot‖ and C = maxν‖∇μTtotμν‖ green Symmetry → C • EM/Λ → E
Gμν + Λ gμν = (8πG/c⁴) [ TEM + Tmatter + TQM + TCST ]
E(t) = ‖G + Λg − (8πG/c⁴)Ttotw,   C(t) = maxν ‖∇μTtotμν
Classical Unified mode mirrors Einstein’s classical grail (deterministic GR+EM, no quantum probabilities). Semiclassical mode adds ⟨TQM⟩.

How to use (step-by-step)

  1. Pick a mode: Classical Unified (GR+EM) or Semiclassical (GR+⟨T⟩). Choose Λ sign (+/−) and magnitude.
  2. Click Sample PASS then Run to see GO (both E & C green). Then try Sample FAIL → NO-GO.
  3. Enter your own inputs, Run, and watch Symmetry Wave, Curvature + WDW overlay, and gauges.
  4. Export logs via Download JSON/Download CSV or Print Summary.

Symmetry Wave (p, L, E budget visual)

Three traveling traces stand in for translation/rotation/time symmetry budgets that feed the C-metric.

Curvature & Wheeler–DeWitt Overlay

Orange curve = curvature proxy. Shaded band = WDW-like “forbidden” region (too-strong curvature). The band moves with the wave crest.

Inputs & Modes

Status

Idle — choose a preset or set inputs.
Loop: EM + (QM if enabled) + CST → GR(+Λ) → metrics E & C → GO/NO-GO.
E: — C: — GO/NO-GO: —

WDW Forbidden Threshold & Navigation Hazard

Risk: — Shaded “forbidden” band (above) visualizes a Wheeler–DeWitt–style no-go region in strong curvature; the hazard index below blends wave amplitude with recent E&C.

Run Logs

Log: —
Per-step log: t, E, C, GR_res, QM_res, ΔC, F_eff, Λ, hazard, wave amplitudes, mode, flags.