Pith. sign in

REVIEW 2 cited by

Displacement Memory Effect from Supersymmetry

Not yet reviewed by Pith; the record is open.

Re-run · record.json Download PDF Read on arXiv ↗

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2504.05043 v3 pith:IJK66GZ2 submitted 2025-04-07 gr-qc hep-thmath-phmath.MP

Erdal Catak , Mahmut Elbistan , Mustafa Mullahasanoglu This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords displacementeffectframeworkgravitationalmechanicsmemoryplanequantum
verification ladder T0 review T1 audit T2 compute T3 formal
0 comments
read the original abstract

We explain the recent results on the displacement memory effect (DME) of plane gravitational waves using supersymmetric quantum mechanics. This novel approach stems from that both the geodesic and the Schr\"odinger equations are Sturm-Liouville boundary value problems. Supersymmetry provides a unified framework for the P\"oschl-Teller and the Scarf profiles and yields the critical values of the associated wave amplitudes for DME in a natural way. Within our framework, we obtain a compact formula for DME in terms of the asymptotic values of the superpotential and the geodesics. In addition, this new technique enables us to build plane and gravitational waves with 2-transverse directions using superpartner potentials. Lastly, we study DME within a singular wave profile inspired by supersymmetric quantum mechanics, which demonstrates the broader applicability of our method.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Flyby-induced displacement: analytic solution

    gr-qc 2025-02 accept novelty 5.0 of 10

    The authors derive exact analytic solutions for gravitational wave displacement memory when the flyby profile is approximated by the hyperbolic Scarf potential, with magic amplitude values |g|=(2n+1) sqrt(n(n+1)).

  2. Memory Effect for deformed gravitational waves

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Displacement memory in squeezed Pöschl–Teller gravitational waves is lost in the finite-amplitude impulsive limit; restoring it requires amplitudes that diverge as the squeezing parameter p→∞.

Pith tools