🌀 Black Hole Echo Calculator

Calculate gravitational wave echo delays from RFT quantum corrections near black hole horizons

⚠️ Based on speculative RFT modifications to horizon physics. Values are theoretical predictions.

Echo delay from quantum corrections to black hole geometry

Black Hole Parameters

Primary Mass

30
0.70

RFT Quantum Parameters

0.010
1.0

Detection Parameters

150

Echo Predictions

Echo Time Delay

8.5 ms

Time between merger and first echo

Echo Amplitude Ratio

0.15

Echo strain relative to main signal

Phase Shift

π/4

RFT-induced phase modification

Detectability

Marginal

With current LIGO sensitivity

Simulated Waveform

Main signal (blue) and predicted echo (orange)

Current Evidence
2.9σ
Statistical significance (controversial)
Required SNR
8.5
For 5σ detection
Next Runs
O5+
Expected sensitivity
Predicted Rate
30%
Of detectable mergers

RFT Black Hole Echo Mechanism

In RFT, quantum corrections from scalaron field fluctuations create a partially reflective "firewall" near the black hole horizon. This modified geometry allows a fraction of the gravitational wave signal to bounce back, creating delayed echoes.

The echo time delay depends on the light-travel time near the horizon:

  • Δt ∝ M ln(M/M_Planck) for the quantum correction scale
  • Modified by spin through frame-dragging effects
  • Amplitude decreases with each subsequent echo
  • Phase shifts encode information about horizon structure

Key prediction: Echo delays should correlate with black hole mass and spin according to RFT quantum geometry, distinguishing it from other echo models.