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First look at continuous spin gravity: Time delay signatures

T0 review · 0 major / 2 minor · reviewed 2026-05-23 · grok-4.3

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Pith's one-line read Continuous spin gravity predicts gravitational wave time delays that deviate from general relativity by a fractional amount O(ρ_g/ω).

desk verdict The paper derives an O(ρ_g/ω) time-delay deviation for continuous-spin gravitons in idealized interferometers, with a clean low-frequency damping cutoff. read the letter →

arxiv 2503.03817 v2 pith:LIUCTGVQ submitted 2025-03-05 gr-qc hep-phhep-th

Shayarneel Kundu , Philip Schuster , Natalia Toro This is my paper · ORCID
classification gr-qchep-phhep-th
keywords continuousspingravitygravitationalwavestimedelayhelicitymixinglaserinterferometersmodified
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

A machine-rendered reading of the paper's core claim, the machinery that carries it, and where it could break.

The reading

The paper examines the possibility that gravity is mediated by continuous spin particles carrying a non-zero invariant spin scale ρ_g. It constructs a linearized formalism for how these particles couple to ordinary spinless matter on flat spacetime. The resulting calculation for an idealized laser interferometer shows a time-delay effect whose size relative to general relativity scales as ρ_g divided by the gravitational wave frequency ω, but only when ω exceeds ρ_g; lower-frequency waves are damped. This frequency dependence implies that precision detectors operating at low frequencies could reach very small values of ρ_g.

What carries the argument

Boost-induced mixing between helicity modes, with the invariant spin scale ρ_g setting the strength of the mixing, realized through a linearized coupling of spinless matter to continuous spin gravity on a Minkowski background.

What would settle it

A measurement of time delays for gravitational waves at frequencies near or below 10^{-14} eV that either shows or fails to show a fractional deviation scaling as O(ρ_g/ω) would confirm or rule out the predicted signature.

Watch

Extended reading notes

Core claim

In continuous spin gravity the primary helicity-2 modes mix with a tower of other integer-helicity modes under boosts, with the mixing controlled by ρ_g. The linearized coupling of spinless matter to these modes on Minkowski space produces an interferometer time delay that deviates from the general-relativity prediction by a fractional amount O(ρ_g/ω) for frequencies above ρ_g, while waves with ω ≲ ρ_g have damped effects.

Load-bearing premise

The linearized formalism for coupling spinless matter to continuous spin gravity on a Minkowski background captures the leading time-delay effect from helicity mixing without higher-order corrections or nonlinearities altering the result.

Editorial extensions

If this is right

  • The fractional deviation grows inversely with frequency, becoming more pronounced at lower ω.
  • Waves with frequencies below ρ_g produce damped rather than enhanced effects.
  • Ground-based laser interferometers could reach spin scales at or below 10^{-14} eV.
  • Pulsar timing arrays could reach spin scales at or below 10^{-24} eV.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • The same mixing mechanism could be applied to other propagation observables such as polarization or energy flux once the formalism is extended.
  • Nonlinear or curved-background corrections would need separate calculation to determine whether they preserve the leading linear time-delay scaling.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit.

Referee Report

0 major / 2 minor

Summary. The manuscript explores the possibility that gravity is mediated by continuous spin particles with non-zero invariant spin scale ρ_g. On a Minkowski background the primary helicity-2 gravitational modes mix with a tower of integer-helicity partners under boosts, with ρ_g controlling the mixing. The authors develop a linearized formalism for coupling spinless matter to this theory and compute the resulting time-delay signatures in an idealized laser interferometer. The central result is a fractional deviation from general-relativity predictions of order O(ρ_g/ω) for frequencies ω > ρ_g, with damping for ω ≲ ρ_g; sensitivity estimates are given for ground-based interferometers (~10^{-14} eV) and pulsar timing arrays (~10^{-24} eV).

Significance. If the linearized calculation is robust, the work supplies a concrete, falsifiable time-delay signature that could be searched for with existing and near-future gravitational-wave detectors. The explicit O(ρ_g/ω) scaling and the low-frequency damping are clear, testable outputs of the formalism rather than fitted parameters. The paper correctly highlights the precision and low-frequency reach of interferometers and PTAs as advantages for constraining small ρ_g. As a first exploration at linearized level on flat space, the result motivates but does not yet replace more complete treatments on curved backgrounds.

minor comments (2)
  1. [Abstract] Abstract: the central scaling is stated without reference to the section or equation that derives it; adding a parenthetical pointer (e.g., “see §4.2, Eq. (27)”) would improve readability for readers who wish to verify the O(ρ_g/ω) result immediately.
  2. [Calculation of time-delay signatures] The idealized interferometer model is used throughout; a brief statement of the neglected higher-order or curvature corrections (even if shown to be sub-leading) would help bound the domain of validity of the quoted sensitivity estimates.

Simulated Author's Rebuttal

0 responses · 0 unresolved

We thank the referee for their positive assessment of the manuscript, including the recognition of the O(ρ_g/ω) scaling, low-frequency damping, and sensitivity reach of interferometers and PTAs. The recommendation for minor revision is noted; however, the report does not list any specific major comments.

Circularity Check

0 steps flagged · score 0.0 of 10

No significant circularity in derivation chain

full rationale

The paper develops a new linearized formalism for coupling spinless matter to continuous spin gravity on a Minkowski background and derives the time-delay signatures, including the O(ρ_g/ω) fractional deviation for ω > ρ_g and damping for lower frequencies, directly as outputs of that formalism applied to an idealized interferometer. No step reduces a prediction to a fitted input by construction, renames a known result, or relies on a load-bearing self-citation whose content is unverified; the central results follow from the equations of the new coupling without circular reduction to the paper's own inputs or prior self-referential claims.

Assumptions & free parameters 1 free parameters · 2 assumptions · 1 invented entities

The central claim rests on the validity of a newly developed linearized coupling between spinless matter and continuous-spin gravitons; ρ_g is introduced as the controlling scale without independent evidence supplied in the abstract.

free parameters (1)
  • ρ_g
    Invariant spin scale that sets the strength of helicity mixing and is the quantity to be bounded or detected by the time-delay measurement.
assumptions (2)
  • domain assumption Linearized gravity on Minkowski background suffices for the leading time-delay effect
    The calculation is performed at linearized level as stated in the abstract.
  • ad hoc to paper Continuous spin particles mediate gravity with the stated boost mixing
    The mixing of primary helicity-2 modes with partner modes is taken as the defining property of the continuous-spin framework.
invented entities (1)
  • continuous spin graviton
    purpose: Mediator of gravity whose non-zero ρ_g produces observable deviations from GR in wave propagation
    Postulated alternative to the standard massless spin-2 graviton; no independent evidence is provided in the abstract.

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Cite this review

Pith. "Pith review of First look at continuous spin gravity: Time delay signatures." pith.science (2026). https://pith.science/paper/LIUCTGVQ

@misc{pith2026250303817,
  author       = {Pith},
  title        = {Pith review of: First look at continuous spin gravity: Time delay signatures},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/LIUCTGVQ}},
  note         = {Machine review of arXiv:2503.03817}
}
abstract

We consider the possibility that gravity is mediated by "continuous spin" particles, i.e.~ massless particles whose invariant spin scale $\rho_g$ is non-zero. In this case, the primary helicity-2 modes of gravitational radiation on a Minkowski background mix with a tower of integer-helicity partner modes under boosts, with $\rho_g$ controlling the degree of mixing. We develop a formalism for coupling spinless matter to continuous spin gravity at linearized level. Using this formalism, we calculate the time-delay signatures induced by gravitational waves in an idealized laser interferometer detector. The fractional deviation from general relativity predictions is $O(\rho_g/\omega)$ for gravitational wave frequencies $\omega >\rho_g$, and the effects of waves with $\omega \lesssim \rho_g$ are damped. The precision and low frequency ranges of gravitational wave detectors suggest potential sensitivity to spin scales at or below $\sim 10^{-14}$ eV at ground-based laser interferometers and $\sim 10^{-24}$ eV at pulsar timing arrays, motivating further analysis of observable signatures.

Discussion (0). Continue with ORCID to comment.

Forward citations

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Reference graph

Works this paper leans on

100 extracted references · 100 canonical work pages · cited by 4 Pith papers

  1. [1]

    Eugene P. Wigner. On Unitary Representations of the Inhomogeneous Lorentz Group. Annals Math., 40:149–204, 1939. doi: 10.2307/1968551

    work page doi:10.2307/1968551 1939

  2. [2]

    Feynman Rules for Any Spin,

    Steven Weinberg. Feynman Rules for Any Spin. 2. Massless Particles.Phys. Rev., 134: B882–B896, 1964. doi: 10.1103/PhysRev.134.B882

    work page doi:10.1103/physrev.134.b882 1964

  3. [3]

    Photons and Gravitons inS-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass.Phys

    Steven Weinberg. Photons and Gravitons inS-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass.Phys. Rev., 135:B1049–B1056,

    work page

  4. [4]

    doi: 10.1103/PhysRev.135.B1049

    work page doi:10.1103/physrev.135.b1049

  5. [5]

    Photons and gravitons in perturbation the ory: Derivation of Maxwell’s and Einstein’s equations,

    Steven Weinberg. Photons and gravitons in perturbation theory: Derivation of Maxwell’s and Einstein’s equations.Phys. Rev., 138:B988–B1002, 1965. doi: 10.1103/PhysRev.138.B988

    work page doi:10.1103/physrev.138.b988 1965

  6. [6]

    Limits on Massless Particles.Phys

    Steven Weinberg and Edward Witten. Limits on Massless Particles.Phys. Lett. B , 96:59–62,

    work page

  7. [7]

    doi: 10.1016/0370-2693(80)90212-9

    work page doi:10.1016/0370-2693(80)90212-9

  8. [8]

    On the Theory of Continuous-Spin Particles: Wavefunctions and Soft-Factor Scattering Amplitudes.JHEP, 09:104, 2013

    Philip Schuster and Natalia Toro. On the Theory of Continuous-Spin Particles: Wavefunctions and Soft-Factor Scattering Amplitudes.JHEP, 09:104, 2013. doi: 10.1007/JHEP09(2013)104

    work page doi:10.1007/jhep09(2013)104 2013

Show all 100 references
  1. [9]

    On the Theory of Continuous-Spin Particles: Helicity Correspondence in Radiation and Forces.JHEP, 09:105, 2013

    Philip Schuster and Natalia Toro. On the Theory of Continuous-Spin Particles: Helicity Correspondence in Radiation and Forces.JHEP, 09:105, 2013. doi: 10.1007/JHEP09(2013)105

    2013 doi

  2. [10]

    A Gauge Field Theory of Continuous-Spin Particles

    Philip Schuster and Natalia Toro. A Gauge Field Theory of Continuous-Spin Particles. JHEP, 10:061, 2013. doi: 10.1007/JHEP10(2013)061

    2013 doi

  3. [11]

    Continuous-spin particle field theory with helicity correspondence

    Philip Schuster and Natalia Toro. Continuous-spin particle field theory with helicity correspondence. Phys. Rev. D , 91:025023, 2015. doi: 10.1103/PhysRevD.91.025023

    2015 doi

  4. [12]

    Interactions of Particles with ”Continuous Spin” Fields.JHEP, 04:010, 2023

    Philip Schuster, Natalia Toro, and Kevin Zhou. Interactions of Particles with ”Continuous Spin” Fields.JHEP, 04:010, 2023. doi: 10.1007/JHEP04(2023)010

    2023 doi

  5. [13]

    Quantum electrodynamics mediated by a photon with continuous spin

    Philip Schuster and Natalia Toro. Quantum electrodynamics mediated by a photon with continuous spin. Phys. Rev. D , 109(9):096008, 2024. doi: 10.1103/PhysRevD.109.096008

    2024 doi

  6. [14]

    Continuous-Spin Particles, On Shell

    Brando Bellazzini, Stefano De Angelis, and Marcello Romano. Continuous-Spin Particles, On Shell. 6 2024. – 21 –

    2024

  7. [15]

    I. L. Buchbinder, S. Fedoruk, A. P. Isaev, and V. A. Krykhtin. Towards Lagrangian construction for infinite half-integer spin field.Nucl. Phys. B , 958:115114, 2020. doi: 10.1016/j.nuclphysb.2020.115114

    2020 doi

  8. [16]

    Burdík, V

    Č. Burdík, V. K. Pandey, and A. Reshetnyak. BRST–BFV and BRST–BV descriptions for bosonic fields with continuous spin onR1,d−1. Int. J. Mod. Phys. A , 35(26):2050154, 2020. doi: 10.1142/S0217751X20501547

    2020 doi

  9. [17]

    I. L. Buchbinder, S. James Gates, and K. Koutrolikos. Superfield continuous spin equations of motion. Phys. Lett. B , 793:445–450, 2019. doi: 10.1016/j.physletb.2019.05.015

    2019 doi

  10. [18]

    Unified formulation for helicity and continuous spin fermionic fields.JHEP, 11:050, 2018

    Konstantin Alkalaev, Alexander Chekmenev, and Maxim Grigoriev. Unified formulation for helicity and continuous spin fermionic fields.JHEP, 11:050, 2018. doi: 10.1007/JHEP11(2018)050

    2018 doi

  11. [19]

    Rivelles

    Victor O. Rivelles. A Gauge Field Theory for Continuous Spin Tachyons. 7 2018

    2018

  12. [20]

    I. L. Buchbinder, V. A. Krykhtin, and H. Takata. BRST approach to Lagrangian construction for bosonic continuous spin field.Phys. Lett. B , 785:315–319, 2018. doi: 10.1016/j.physletb.2018.07.070

    2018 doi

  13. [21]

    Alkalaev and Maxim A

    Konstantin B. Alkalaev and Maxim A. Grigoriev. Continuous spin fields of mixed-symmetry type. JHEP, 03:030, 2018. doi: 10.1007/JHEP03(2018)030

    2018 doi

  14. [22]

    M. V. Khabarov and Yu. M. Zinoviev. Infinite (continuous) spin fields in the frame-like formalism. Nucl. Phys. B , 928:182–216, 2018. doi: 10.1016/j.nuclphysb.2018.01.016

    2018 doi

  15. [23]

    Skvortsov

    Xavier Bekaert and Evgeny D. Skvortsov. Elementary particles with continuous spin.Int. J. Mod. Phys. A , 32(23n24):1730019, 2017. doi: 10.1142/S0217751X17300198

    2017 doi

  16. [24]

    Modified Wigner equations and continuous spin gauge field.Phys

    Mojtaba Najafizadeh. Modified Wigner equations and continuous spin gauge field.Phys. Rev. D, 97(6):065009, 2018. doi: 10.1103/PhysRevD.97.065009

    2018 doi

  17. [25]

    Yu. M. Zinoviev. Infinite spin fields in d = 3 and beyond.Universe, 3(3):63, 2017. doi: 10.3390/universe3030063

    2017 doi

  18. [26]

    R. R. Metsaev. BRST-BV approach to continuous-spin field.Phys. Lett. B , 781:568–573,

  19. [27]

    doi: 10.1016/j.physletb.2018.04.038

    2018 doi

  20. [28]

    Rivelles

    Victor O. Rivelles. Remarks on a Gauge Theory for Continuous Spin Particles.Eur. Phys. J. C, 77(7):433, 2017. doi: 10.1140/epjc/s10052-017-4927-1

    2017 doi

  21. [29]

    Bekaert, M

    X. Bekaert, M. Najafizadeh, and M. R. Setare. A gauge field theory of fermionic Continuous-Spin Particles. Phys. Lett. B , 760:320–323, 2016. doi: 10.1016/j.physletb.2016.07.005

    2016 doi

  22. [30]

    Rivelles

    Victor O. Rivelles. Gauge Theory Formulations for Continuous and Higher Spin Fields. Phys. Rev. D , 91(12):125035, 2015. doi: 10.1103/PhysRevD.91.125035

    2015 doi

  23. [31]

    A comment on continuous spin representations of the Poincare group and perturbative string theory.Fortsch

    Anamaria Font, Fernando Quevedo, and Stefan Theisen. A comment on continuous spin representations of the Poincare group and perturbative string theory.Fortsch. Phys., 62: 975–980, 2014. doi: 10.1002/prop.201400067

    2014 doi

  24. [32]

    How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples.Rev

    Xavier Bekaert, Nicolas Boulanger, and Per Sundell. How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples.Rev. Mod. Phys., 84:987–1009,

  25. [33]

    doi: 10.1103/RevModPhys.84.987

    doi

  26. [34]

    Bekaert and J

    X. Bekaert and J. Mourad. The Continuous spin limit of higher spin field equations.JHEP, 01:115, 2006. doi: 10.1088/1126-6708/2006/01/115. – 22 –

    2006 doi

  27. [35]

    Khan and Pierre Ramond

    Abu M. Khan and Pierre Ramond. Continuous spin representations from group contraction. J. Math. Phys. , 46:053515, 2005. doi: 10.1063/1.1897663. [Erratum: J.Math.Phys. 46, 079901 (2005)]

    2005 doi

  28. [36]

    Arkady Yu. Segal. Point particle in general background fields vsersus gauge theories of traceless symmetric tensors. Int. J. Mod. Phys. A , 18:4999–5021, 2003. doi: 10.1142/S0217751X03015830

    2003 doi

  29. [37]

    Freedman

    Bernard de Wit and Daniel Z. Freedman. Systematics of Higher Spin Gauge Fields.Phys. Rev. D, 21:358, 1980. doi: 10.1103/PhysRevD.21.358

    1980 doi

  30. [38]

    Fang and C

    J. Fang and C. Fronsdal. Massless Fields with Half Integral Spin.Phys. Rev. D , 18:3630,

  31. [39]

    doi: 10.1103/PhysRevD.18.3630

    doi

  32. [40]

    Massless Fields with Integer Spin.Phys

    Christian Fronsdal. Massless Fields with Integer Spin.Phys. Rev. D , 18:3624, 1978. doi: 10.1103/PhysRevD.18.3624

    1978 doi

  33. [41]

    K. Hirata. Quantization of Massless Fields with Continuous Spin.Prog. Theor. Phys., 58: 652–666, 1977. doi: 10.1143/PTP.58.652

    1977 doi

  34. [42]

    L. F. Abbott. Massless Particles with Continuous Spin Indices.Phys. Rev. D , 13:2291, 1976. doi: 10.1103/PhysRevD.13.2291

    1976 doi

  35. [43]

    L. P. S. Singh and C. R. Hagen. Lagrangian formulation for arbitrary spin. 1. The boson case. Phys. Rev. D , 9:898–909, 1974. doi: 10.1103/PhysRevD.9.898

    1974 doi

  36. [44]

    L. P. S. Singh and C. R. Hagen. Lagrangian formulation for arbitrary spin. 2. The fermion case. Phys. Rev. D , 9:910–920, 1974. doi: 10.1103/PhysRevD.9.910

    1974 doi

  37. [45]

    Chakrabarti

    A. Chakrabarti. Remarks on lightlike continuous spin and spacelike representations of the poincare group. J. Math. Phys. , 12:1813–1822, 1971. doi: 10.1063/1.1665809

    1971 doi

  38. [46]

    Yngvason

    J. Yngvason. Zero-mass infinite spin representations of the poincare group and quantum field theory. Commun. Math. Phys. , 18:195–203, 1970. doi: 10.1007/BF01649432

    1970 doi

  39. [47]

    I. L. Buchbinder, S. A. Fedoruk, A. P. Isaev, and V. A. Krykhtin. On the off-shell superfield Lagrangian formulation of 4D, N=1 supersymmetric infinite spin theory.Phys. Lett. B , 829: 137139, 2022. doi: 10.1016/j.physletb.2022.137139

    2022 doi

  40. [48]

    Off-shell supersymmetric continuous spin gauge theory.JHEP, 02:038,

    Mojtaba Najafizadeh. Off-shell supersymmetric continuous spin gauge theory.JHEP, 02:038,

  41. [49]

    doi: 10.1007/JHEP02(2022)038

    2022 doi

  42. [50]

    Supersymmetric Continuous Spin Gauge Theory.JHEP, 03:027, 2020

    Mojtaba Najafizadeh. Supersymmetric Continuous Spin Gauge Theory.JHEP, 03:027, 2020. doi: 10.1007/JHEP03(2020)027

    2020 doi

  43. [51]

    I. L. Buchbinder, A. P. Isaev, and S. A. Fedoruk. Massless Infinite Spin (Super)particles and Fields. Proc. Steklov Inst. Math. , 309(1):46–56, 2020. doi: 10.1134/S0081543820030049

    2020 doi

  44. [52]

    I. L. Buchbinder, M. V. Khabarov, T. V. Snegirev, and Yu. M. Zinoviev. Lagrangian formulation for the infinite spinN=1 supermultiplets ind=4. Nucl. Phys. B , 946:114717,

  45. [53]

    doi: 10.1016/j.nuclphysb.2019.114717

    2019 doi

  46. [54]

    R. R. Metsaev. Mixed-symmetry continuous-spin fields in flat and AdS spaces.Phys. Lett. B, 820:136497, 2021. doi: 10.1016/j.physletb.2021.136497

    2021 doi

  47. [55]

    R. R. Metsaev. Light-cone continuous-spin field in AdS space.Phys. Lett. B , 793:134–140,

  48. [56]

    doi: 10.1016/j.physletb.2019.04.041

    2019 doi

  49. [57]

    R. R. Metsaev. Fermionic continuous spin gauge field in (A)dS space.Phys. Lett. B , 773: 135–141, 2017. doi: 10.1016/j.physletb.2017.08.020. – 23 –

    2017 doi

  50. [58]

    R. R. Metsaev. Continuous spin gauge field in (A)dS space.Phys. Lett. B , 767:458–464,

  51. [59]

    doi: 10.1016/j.physletb.2017.02.027

    2017 doi

  52. [60]

    I. L. Buchbinder, S. A. Fedoruk, A. P. Isaev, and V. A. Krykhtin. BRST construction for infinite spin field onAdS4. Eur. Phys. J. Plus , 139(7):621, 2024. doi: 10.1140/epjp/s13360-024-05430-6

    2024 doi

  53. [61]

    R. R. Metsaev. Continuous-spin mixed-symmetry fields in AdS(5).J. Phys. A , 51(21): 215401, 2018. doi: 10.1088/1751-8121/aabcda

    2018 doi

  54. [62]

    R. R. Metsaev. Cubic interaction vertices for massive/massless continuous-spin fields and arbitrary spin fields.JHEP, 12:055, 2018. doi: 10.1007/JHEP12(2018)055

    2018 doi

  55. [63]

    Continuous-spin field propagator and interaction with matter.JHEP, 11:113, 2017

    Xavier Bekaert, Jihad Mourad, and Mojtaba Najafizadeh. Continuous-spin field propagator and interaction with matter.JHEP, 11:113, 2017. doi: 10.1007/JHEP11(2017)113

    2017 doi

  56. [64]

    R. R. Metsaev. Cubic interaction vertices for continuous-spin fields and arbitrary spin massive fields. JHEP, 11:197, 2017. doi: 10.1007/JHEP11(2017)197

    2017 doi

  57. [65]

    Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex.J

    Xavier Bekaert, Nicolas Boulanger, and Serge Leclercq. Strong obstruction of the Berends-Burgers-van Dam spin-3 vertex.J. Phys. A , 43:185401, 2010. doi: 10.1088/1751-8113/43/18/185401

    2010 doi

  58. [66]

    Berends, G

    Frits A. Berends, G. J. H. Burgers, and H. van Dam. Explicit construction of conserved currents for massless fields of arbitrary spin.Nucl. Phys. B , 271:429–441, 1986. doi: 10.1016/S0550-3213(86)80019-0

    1986 doi

  59. [67]

    Berends, G

    Frits A. Berends, G. J. H. Burgers, and H. van Dam. On the Theoretical Problems in Constructing Interactions Involving Higher Spin Massless Particles.Nucl. Phys. B , 260: 295–322, 1985. doi: 10.1016/0550-3213(85)90074-4

    1985 doi

  60. [68]

    G. J. Iverson and G. Mack. Quantum fields and interactions of massless particles - the continuous spin case.Annals Phys., 64:211–253, 1971. doi: 10.1016/0003-4916(71)90284-3

    1971 doi

  61. [69]

    G. J. Iverson and G. Mack. Theory of weak interactions with *continuous-spin* neutrinos. Phys. Rev. D , 2:2326–2333, 1970. doi: 10.1103/PhysRevD.2.2326

    1970 doi

  62. [70]

    On the Thermodynamics of Continuous Spin photons

    Philip Schuster, Gowri Sundaresan, and Natalia Toro. On the Thermodynamics of Continuous Spin photons. 6 2024

    2024

  63. [71]

    B. P. Abbott et al. Observation of Gravitational Waves from a Binary Black Hole Merger. Phys. Rev. Lett., 116(6):061102, 2016. doi: 10.1103/PhysRevLett.116.061102

    2016 doi

  64. [72]

    Gravitational Waves

    Michele Maggiore. Gravitational Waves. Vol. 1: Theory and Experiments . Oxford University Press, 2007. ISBN 978-0-19-171766-6, 978-0-19-852074-0. doi: 10.1093/acprof:oso/9780198570745.001.0001

    2007 doi

  65. [73]

    Misner, K

    Charles W. Misner, K. S. Thorne, and J. A. Wheeler.Gravitation. W. H. Freeman, San Francisco, 1973. ISBN 978-0-7167-0344-0, 978-0-691-17779-3

    1973

  66. [74]

    Sean M. Carroll. Spacetime and Geometry: An Introduction to General Relativity . Cambridge University Press, 7 2019. ISBN 978-0-8053-8732-2, 978-1-108-48839-6, 978-1-108-77555-7. doi: 10.1017/9781108770385

    2019 doi

  67. [75]

    Gravity and Strings

    Tomas Ortin. Gravity and Strings . Cambridge Monographs on Mathematical Physics. Cambridge University Press, 2nd ed. edition, 7 2015. ISBN 978-0-521-76813-9, 978-0-521-76813-9, 978-1-316-23579-9. doi: 10.1017/CBO9781139019750. – 24 –

    2015 doi

  68. [76]

    L. P. Grishchuk. Particle drift in the field of a gravitational wave.Zh. Eksp. Teor. Fiz. , 66: 833–837, 1974

    1974

  69. [77]

    Probing anisotropies of the Stochastic Gravitational Wave Background with LISA

    Nicola Bartolo et al. Probing anisotropies of the Stochastic Gravitational Wave Background with LISA. JCAP, 11:009, 2022. doi: 10.1088/1475-7516/2022/11/009

    2022 doi

  70. [78]

    Testing modified gravity at cosmological distances with LISA standard sirens

    Enis Belgacem et al. Testing modified gravity at cosmological distances with LISA standard sirens. JCAP, 07:024, 2019. doi: 10.1088/1475-7516/2019/07/024

    2019 doi

  71. [79]

    K. G. Arun et al. New horizons for fundamental physics with LISA.Living Rev. Rel., 25(1): 4, 2022. doi: 10.1007/s41114-022-00036-9

    2022 doi

  72. [80]

    Laser Interferometer Space Antenna

    Pau Amaro-Seoane et al. Laser Interferometer Space Antenna. 2 2017

    2017

  73. [81]

    B. S. Sathyaprakash, B. F. Schutz, and C. Van Den Broeck. Cosmography with the Einstein Telescope. Class. Quant. Grav. , 27:215006, 2010. doi: 10.1088/0264-9381/27/21/215006

    2010 doi

  74. [82]

    Punturo et al

    M. Punturo et al. The Einstein Telescope: A third-generation gravitational wave observatory. Class. Quant. Grav. , 27:194002, 2010. doi: 10.1088/0264-9381/27/19/194002

    2010 doi

  75. [83]

    Sathyaprakash et al

    B. Sathyaprakash et al. Scientific Objectives of Einstein Telescope.Class. Quant. Grav. , 29: 124013, 2012. doi: 10.1088/0264-9381/29/12/124013. [Erratum: Class.Quant.Grav. 30, 079501 (2013)]

    2012 doi

  76. [84]

    Cosmic Explorer: The U.S

    David Reitze et al. Cosmic Explorer: The U.S. Contribution to Gravitational-Wave Astronomy beyond LIGO.Bull. Am. Astron. Soc. , 51(7):035, 2019

    2019

  77. [85]

    A Horizon Study for Cosmic Explorer: Science, Observatories, and Community

    Matthew Evans et al. A Horizon Study for Cosmic Explorer: Science, Observatories, and Community. 9 2021

    2021

  78. [86]

    Mpetha, Giuseppe Congedo, and Andy Taylor

    Charlie T. Mpetha, Giuseppe Congedo, and Andy Taylor. Future prospects on testing extensions toΛCDM through the weak lensing of gravitational waves.Phys. Rev. D, 107(10): 103518, 2023. doi: 10.1103/PhysRevD.107.103518

    2023 doi

  79. [87]

    Detweiler

    Steven L. Detweiler. Pulsar timing measurements and the search for gravitational waves. Astrophys. J., 234:1100–1104, 1979. doi: 10.1086/157593

    1979 doi

  80. [88]

    Mikhail V. Sazhin. Opportunities for detecting ultralong gravitational waves.Sov. Astron., 22:36–38, 1978

    1978

  81. [89]

    The NANOGrav 15 yr Data Set: Evidence for a Gravitational-wave Background

    Gabriella Agazie et al. The NANOGrav 15 yr Data Set: Evidence for a Gravitational-wave Background. Astrophys. J. Lett., 951(1):L8, 2023. doi: 10.3847/2041-8213/acdac6

    2023 doi

  82. [90]

    The NANOGrav 15 yr Data Set: Observations and Timing of 68 Millisecond Pulsars

    Gabriella Agazie et al. The NANOGrav 15 yr Data Set: Observations and Timing of 68 Millisecond Pulsars. Astrophys. J. Lett., 951(1):L9, 2023. doi: 10.3847/2041-8213/acda9a

    2023 doi

  83. [91]

    Antoniadis et al

    J. Antoniadis et al. The second data release from the European Pulsar Timing Array - I. The dataset and timing analysis.Astron. Astrophys., 678:A48, 2023. doi: 10.1051/0004-6361/202346841

    2023 doi

  84. [92]

    Antoniadis et al

    J. Antoniadis et al. The second data release from the European Pulsar Timing Array - V. Search for continuous gravitational wave signals.Astron. Astrophys., 690:A118, 2024. doi: 10.1051/0004-6361/202348568

    2024 doi

  85. [93]

    Antoniadis et al

    J. Antoniadis et al. The second data release from the European Pulsar Timing Array - IV. Implications for massive black holes, dark matter, and the early Universe.Astron. Astrophys., 685:A94, 2024. doi: 10.1051/0004-6361/202347433. – 25 –

    2024 doi

  86. [94]

    Antoniadis et al

    J. Antoniadis et al. The second data release from the European Pulsar Timing Array - III. Search for gravitational wave signals.Astron. Astrophys., 678:A50, 2023. doi: 10.1051/0004-6361/202346844

    2023 doi

  87. [95]

    Antoniadis et al

    J. Antoniadis et al. The second data release from the European Pulsar Timing Array - II. Customised pulsar noise models for spatially correlated gravitational waves.Astron. Astrophys., 678:A49, 2023. doi: 10.1051/0004-6361/202346842

    2023 doi

  88. [96]

    Reardon et al

    Daniel J. Reardon et al. Search for an Isotropic Gravitational-wave Background with the Parkes Pulsar Timing Array.Astrophys. J. Lett., 951(1):L6, 2023. doi: 10.3847/2041-8213/acdd02

    2023 doi

  89. [97]

    Reardon et al

    Daniel J. Reardon et al. The Gravitational-wave Background Null Hypothesis: Characterizing Noise in Millisecond Pulsar Arrival Times with the Parkes Pulsar Timing Array. Astrophys. J. Lett., 951(1):L7, 2023. doi: 10.3847/2041-8213/acdd03

    2023 doi

  90. [98]

    The Parkes Pulsar Timing Array third data release.Publ

    Andrew Zic et al. The Parkes Pulsar Timing Array third data release.Publ. Astron. Soc. Austral., 40:e049, 2023. doi: 10.1017/pasa.2023.36

    2023 doi

  91. [99]

    Searching for the Nano-Hertz Stochastic Gravitational Wave Background with the Chinese Pulsar Timing Array Data Release I.Res

    Heng Xu et al. Searching for the Nano-Hertz Stochastic Gravitational Wave Background with the Chinese Pulsar Timing Array Data Release I.Res. Astron. Astrophys., 23(7): 075024, 2023. doi: 10.1088/1674-4527/acdfa5

    2023 doi

  92. [100]

    R. P. Feynman.Feynman lectures on gravitation. 1996. ISBN 978-0-429-50285-9. doi: 10.1201/9780429502859. – 26 –

    1996 doi

Pith tools

Reviewed May 23, 2026 · model on record in the stance chip above.