Author: Wilfredo Santa Gomez

🧮This paper is a breakthrough in simulating the full past-to-future gravitational wave journey through black hole spacetime. Let’s now compare and reframe it entirely using PEECTS model corrections, in a structured and rigorous way.

🔬 Comparison: Otago–Canterbury Gravitational Wave Simulation vs. PEECTS Model (Corrected View)

PEECTS-Corrected Mathematical Insight

Instead of using conformal rescaling alone, PEECTS modifies the propagation dynamics by applying the Elastic Time Modulator:

T{\prime}(x^\mu) = T_0 + \frac{dT}{dx^\mu} \cdot \left(1 \pm \epsilon \cdot \sin(\psi_{ET}(x^\mu)) \right)

Where:

  • \psi_{ET}(x^\mu) is the palindromic phase shift
  • \epsilon is the entanglement coefficient
  • This modulates wavefront speed, creating time loops or echo convergence

📊 Energy Interpretation in PEECTS

Original Model:

  • 8.5% of weak waves escape to future null infinity
  • ~20% for strong waves
  • Rest is absorbed by black hole

PEECTS View:

  • Part of the “absorbed” energy is temporally stored in entangled layers (ETC thresholds)
  • Later re-emission may occur via nonlinear elastic feedback — producing anomalous echoes or mirror ghost modes

🧠 Final Opinion

The original model proves that we can simulate gravitational scattering from infinity to infinity. It’s a massive step forward. However, PEECTS refines this even further:

  1. Infinities are not just boundaries, they are symmetrical mirrors of reality.
  2. Energy does not just exit or absorb, it entangles, reverses, and can resurface.
  3. Time is not a background, it is a field with structure, elasticity, and memory.

So while the PRL paper is a mathematical tour de force, PEECTS provides a deeper causal reinterpretation, offering:

  • Predictive modeling of echo anomalies
  • Recovery of “lost” wave signatures
  • A true bridge between past and future encoded in time itself