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Geometric Time Delay Interferometry

3 Pith papers cite this work. Polarity classification is still indexing.

3 Pith papers citing it
abstract

The space-based gravitational-wave observatory LISA, a NASA-ESA mission to be launched after 2012, will achieve its optimal sensitivity using Time Delay Interferometry (TDI), a LISA-specific technique needed to cancel the otherwise overwhelming laser noise in the inter-spacecraft phase measurements. The TDI observables of the Michelson and Sagnac types have been interpreted physically as the virtual measurements of a synthesized interferometer. In this paper, I present Geometric TDI, a new and intuitive approach to extend this interpretation to all TDI observables. Unlike the standard algebraic formalism, Geometric TDI provides a combinatorial algorithm to explore exhaustively the space of second-generation TDI observables (i.e., those that cancel laser noise in LISA-like interferometers with time-dependent armlengths). Using this algorithm, I survey the space of second-generation TDI observables of length (i.e., number of component phase measurements) up to 24, and I identify alternative, improved forms of the standard second-generation TDI observables. The alternative forms have improved high-frequency gravitational-wave sensitivity in realistic noise conditions (because they have fewer nulls in the gravitational-wave and noise response functions), and are less susceptible to instrumental gaps and glitches (because their component phase measurements span shorter time periods).

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gr-qc 3

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2026 3

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UNVERDICTED 3

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representative citing papers

Toward claiming a detection of gravitational memory

gr-qc · 2026-01-30 · unverdicted · novelty 6.0

A framework using scale separation in the Isaacson description defines observable gravitational memory rise for compact binary coalescences, providing a basis for hypothesis testing in LISA data.

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Showing 3 of 3 citing papers after filters.

  • Toward claiming a detection of gravitational memory gr-qc · 2026-01-30 · unverdicted · none · ref 153 · internal anchor

    A framework using scale separation in the Isaacson description defines observable gravitational memory rise for compact binary coalescences, providing a basis for hypothesis testing in LISA data.

  • Construction of Sensitivity Curves for Dynamic LISA and Taiji gr-qc · 2026-06-26 · unverdicted · none · ref 29 · internal anchor

    Dynamic LISA/Taiji sensitivity curves exhibit 20% low-frequency variation and 70% directional source-count variation relative to static models, with quadrant patterns at low frequencies.

  • Astrophysical Applications of the Physics presented in the Film Interstellar gr-qc · 2026-06-01 · unverdicted · none · ref 49 · internal anchor

    Calculations showing that rapidly spinning black holes permit stable orbits close enough to the horizon for extreme time dilation matching Interstellar, with suggested astrophysical uses.