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arxiv: 2606.27421 · v1 · pith:27CG2MIZnew · submitted 2026-06-25 · ✦ hep-th · gr-qc

Observing Massive Scattering from Null Infinity

Walker Melton , Kyrill Michaelsen , Romain Ruzziconi This is my paper

Pith reviewed 2026-06-29 01:53 UTC · model grok-4.3

classification ✦ hep-th gr-qc
keywords massive scatteringnull infinityBondi mass aspectsoft graviton radiationscattering cross sectionsCarrollian stress tensorflat space holographyWard identities
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0 comments X

The pith

Continuity between timelike and null infinity lets the late-time Bondi mass aspect detect massive outgoing radiation.

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

The paper shows how information about massive particle scattering reaches null infinity through soft graviton radiation. It argues that the late-time Bondi mass aspect functions as a detector for these massive states because of boundary continuity. In-in correlation functions of this quantity then correspond to weighted sums of scattering cross sections. This means an observer at future null infinity can in principle read off details of massive scattering processes at late times. The work also treats the Bondi mass aspect as part of a Carrollian stress tensor and derives constraints from Ward identities.

Core claim

Continuity between the boundaries of timelike and null infinity implies that the late-time limit of the Bondi mass aspect naturally acts as a detector operator for massive outgoing radiation. In-in correlation functions of the Bondi mass aspect at I^+_+ relate to weighted sums of scattering cross sections, implying that an observer at I can extract information about massive scattering processes at late times. The Bondi mass aspect is interpreted as a Carrollian stress-tensor component, and Ward identities are studied to constrain its two-point functions.

What carries the argument

The late-time limit of the Bondi mass aspect at null infinity, acting as a detector operator for massive outgoing radiation carried by soft gravitons.

If this is right

  • In-in correlators of the Bondi mass aspect at late times encode weighted sums of massive scattering cross sections.
  • Observers at null infinity gain access to information about massive scattering amplitudes.
  • The Carrollian stress-tensor interpretation yields Ward identities that constrain the two-point functions of the mass aspect.
  • Soft graviton radiation transmits details of massive processes to the null boundary.

Where Pith is reading between the lines

These are editorial extensions of the paper, not claims the author makes directly.

  • The construction offers a route to include massive external states in existing null-infinity holographic setups.
  • Similar continuity arguments could link other asymptotic charges to massive scattering data.
  • The detector-operator interpretation suggests concrete checks against known massive scattering amplitudes in controlled limits.

Load-bearing premise

Continuity between the boundaries of timelike and null infinity directly maps the late-time Bondi mass aspect to a detector for massive outgoing states.

What would settle it

An explicit computation or measurement showing that the in-in correlation functions of the late-time Bondi mass aspect do not reproduce the predicted weighted sums of scattering cross sections.

Figures

Figures reproduced from arXiv: 2606.27421 by Kyrill Michaelsen, Romain Ruzziconi, Walker Melton.

Figure 1
Figure 1. Figure 1: Pictorial representation of the non-zero mixing terms arising from the Carrollian symmetries acting on the components of the Carrollian stress tensor multiplet. Each arrow points at the stress tensor components that appear in non-zero mixing terms of the Carrollian symmetries’ action on the component that is at the origin of that arrow. We sketch the derivation in this section and refer to Appendix A for t… view at source ↗
Figure 2
Figure 2. Figure 2: A sample of diagrams associated to computing in ⟨ψ|(M) 5 |ψ⟩ in. Diagrams with multiple external points connected to the same internal point are generated by commuting bs and b † s past each other. 6 Applications As seen above, in-in correlators of the detector operator M can be computed as weighted sums over S-matrix elements. In general, however, these functions are unwieldy both because of the large num… view at source ↗
read the original abstract

Because massive particles asymptote to timelike rather than null infinity, current flat space holographic proposals such as celestial or Carrollian holography struggle to describe scattering processes with massive external states. We take a step toward addressing this limitation by studying how information about massive scattering amplitudes is carried to the late-time limit of null infinity by soft graviton radiation. We show that continuity between the boundaries of timelike and null infinity implies that the late-time limit of the Bondi mass aspect naturally acts as a detector operator for massive outgoing radiation. We further relate in-in correlation functions of the Bondi mass aspect at $\mathscr{I}^+_+$ to weighted sums of scattering cross sections, implying that an observer at $\mathscr{I}$ can extract information about massive scattering processes at late times. Finally, we interpret the Bondi mass aspect as a Carrollian stress-tensor component, and study Ward identities to constrain its two-point functions.

Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, simulated authors' rebuttal, and a circularity audit. Tearing a paper down is the easy half of reading it; the pith above is the substance, this is the friction.

Referee Report

2 major / 1 minor

Summary. The paper addresses the challenge of incorporating massive external states into flat-space holographic proposals like celestial and Carrollian holography. It argues that continuity between timelike and null infinity allows the late-time limit of the Bondi mass aspect to function as a detector operator for massive outgoing radiation carried by soft gravitons. The manuscript further claims that in-in correlation functions of the Bondi mass aspect at I^+_+ correspond to weighted sums of scattering cross sections, enabling extraction of massive scattering information at late times, and interprets the Bondi mass aspect as a Carrollian stress-tensor component whose two-point functions are constrained by Ward identities.

Significance. If the continuity mapping and resulting correlator relations hold with explicit derivations, the result would provide a concrete bridge between massive scattering amplitudes and null-infinity observables, extending current holographic frameworks without introducing new free parameters. The Ward-identity analysis for the Carrollian interpretation offers a falsifiable constraint on two-point functions that could be checked against known soft theorems.

major comments (2)
  1. [Abstract] Abstract and the opening of the main argument: the central claim that 'continuity between the boundaries of timelike and null infinity implies that the late-time limit of the Bondi mass aspect naturally acts as a detector operator' is stated without an explicit asymptotic matching (e.g., relating the fall-off of massive fields at timelike infinity to the Bondi mass aspect at I^+_+) or a citation to a specific prior result establishing the required continuity in the relevant regime. This step is load-bearing for the subsequent identification of in-in correlators with scattering cross sections.
  2. [Section deriving correlator-cross-section relation] The section deriving the relation between in-in correlators of the Bondi mass aspect and weighted sums of cross sections: without the explicit continuity map secured in the preceding step, the identification reduces to a formal re-expression whose physical content cannot be assessed; an error estimate or check against a known massive amplitude (e.g., tree-level scalar scattering) would be required to confirm the weighting.
minor comments (1)
  1. [Abstract] Notation for the late-time limit I^+_+ should be defined once at first use and used consistently; the distinction between I^+ and I^+_+ is not immediately clear from the abstract alone.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their detailed review and valuable suggestions. We address each major comment below and will incorporate revisions to enhance the clarity and rigor of the manuscript, particularly regarding the asymptotic continuity and the validation of the correlator relations.

read point-by-point responses

  1. Referee: [Abstract] Abstract and the opening of the main argument: the central claim that 'continuity between the boundaries of timelike and null infinity implies that the late-time limit of the Bondi mass aspect naturally acts as a detector operator' is stated without an explicit asymptotic matching (e.g., relating the fall-off of massive fields at timelike infinity to the Bondi mass aspect at I^+_+) or a citation to a specific prior result establishing the required continuity in the relevant regime. This step is load-bearing for the subsequent identification of in-in correlators with scattering cross sections.

    Authors: We appreciate the referee highlighting the importance of making the continuity argument explicit. The manuscript builds on established results in the literature concerning the asymptotic behavior at timelike and null infinity, but we agree that a more direct exposition would improve accessibility. In the revised manuscript, we will add an explicit derivation of the asymptotic matching in Section 2 (or a new subsection), relating the fall-off of massive fields at timelike infinity to the late-time Bondi mass aspect at I^+. We will also include relevant citations to prior works on this continuity. This will secure the foundation for the subsequent claims. revision: yes

  2. Referee: [Section deriving correlator-cross-section relation] The section deriving the relation between in-in correlators of the Bondi mass aspect and weighted sums of cross sections: without the explicit continuity map secured in the preceding step, the identification reduces to a formal re-expression whose physical content cannot be assessed; an error estimate or check against a known massive amplitude (e.g., tree-level scalar scattering) would be required to confirm the weighting.

    Authors: We concur that an explicit check is necessary to substantiate the physical interpretation. Upon revision, we will include in the relevant section a concrete example using tree-level scalar scattering amplitudes. This will involve computing the in-in correlator and comparing it to the known cross section, providing an error estimate for the late-time approximation. Such a check will confirm the weighting factors and demonstrate the robustness of the relation. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation presented as independent step from continuity assumption.

full rationale

The paper states it 'shows' that continuity between timelike and null infinity implies the late-time Bondi mass aspect acts as a detector, then relates in-in correlators to cross sections and interprets the mass aspect as a Carrollian stress-tensor component. No equations or steps are exhibited that reduce by construction to fitted inputs, self-definitions, or unverified self-citations. The continuity mapping is invoked as an assumption with the 'show' treated as a new derivation; the Carrollian interpretation is an additional interpretive step rather than load-bearing foundation. Absent explicit reduction in the text to prior overlapping-author results by definition, the chain is self-contained against external benchmarks.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on an unproven continuity assumption between timelike and null infinity and on the interpretation of the Bondi mass aspect as a detector; no free parameters or new entities are introduced in the abstract.

axioms (1)
  • domain assumption Continuity between the boundaries of timelike and null infinity allows the late-time Bondi mass aspect to act as a detector for massive outgoing radiation
    Invoked directly in the abstract to support the detector-operator claim.

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discussion (0)

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