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arxiv: 2605.20102 · v1 · pith:D3JHKV2Vnew · submitted 2026-05-19 · ✦ hep-ph · gr-qc· hep-th

Non-Relativistic Cosmological Collider Signals

Matheus C. Ferreira , F. T. Falciano This is my paper

Pith reviewed 2026-05-20 04:05 UTC · model grok-4.3

classification ✦ hep-ph gr-qchep-th
keywords non-relativistic cosmologycosmological collidernon-Gaussianityspectator fieldinflationtilted ghostboostless signals
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The pith

Non-relativistic corrections to a tilted-ghost spectator field generate boostless cosmological collider signals via deformed mode propagation.

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

This paper examines a non-relativistic version of the boostless cosmological collider in which inflationary interactions are mediated by a massive tilted-ghost spectator field. The dominant contribution arises from non-relativistic corrections that deform the bulk mode functions of the spectator, inducing a tilt that alters the in-in correlators. The resulting squeezed-limit non-Gaussianity reproduces the qualitative features of standard boostless collider signals, yet it originates from propagation effects rather than from boost-breaking interaction vertices. An effective chemical-potential-like parameter appears naturally and controls the relative strength of the two late-time oscillatory branches, with the overall signal enhanced or suppressed according to the sign of the tilt.

Core claim

The non-relativistic corrections deform the bulk mode functions of the tilted-ghost spectator field. These deformations modify the in-in correlators and produce a squeezed-limit non-Gaussianity whose qualitative structure matches boostless cosmological-collider signals. The mechanism is rooted in the propagation of the spectator modes and generates an effective chemical-potential-like parameter that governs the balance between late-time oscillatory branches, although this parameter does not correspond to a conventional chemical-potential deformation. The amplitude of the non-Gaussian signal depends on the sign of the tilt.

What carries the argument

The tilted-ghost spectator field whose non-relativistic propagation deforms the bulk mode functions and thereby controls the structure of the in-in correlators.

If this is right

  • The non-Gaussian signal matches the qualitative structure of boostless collider signals but arises from a propagation-based mechanism instead of boost-breaking vertices.
  • An effective chemical-potential-like parameter emerges directly from the non-relativistic propagation and is distinct from standard chemical-potential setups.
  • The non-Gaussianity is enhanced or suppressed depending on the sign of the tilt parameter.
  • The construction supplies a simple effective framework in which boostless-collider phenomenology follows from non-relativistic propagation effects on spectator modes.

Where Pith is reading between the lines

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

  • Alternative inflationary models could employ non-relativistic spectators to produce observable non-Gaussianity without requiring specially engineered boost-breaking interactions.
  • Analyses of oscillatory features in future bispectrum data may need to include possible tilt-dependent asymmetries to separate this mechanism from others.
  • Non-relativistic effective descriptions in de Sitter space might unify several collider-type signals under propagation effects alone.
  • Similar non-relativistic corrections applied to other massive spectator fields could generate comparable signals in varied inflationary backgrounds.

Load-bearing premise

The tilted-ghost spectator field remains a valid massive degree of freedom whose non-relativistic corrections dominate the correlators without destabilizing the inflationary background or violating the effective field theory cutoff.

What would settle it

Observing whether the squeezed bispectrum exhibits the predicted tilt-dependent enhancement or suppression of the oscillatory non-Gaussianity, or whether the branch asymmetries match those arising from the non-relativistic mode deformations.

read the original abstract

We investigate a non-relativistic realization of the boostless cosmological collider in a scenario where inflationary interactions are mediated by a massive tilted-ghost spectator field. Unlike standard boostless collider constructions, in which the characteristic non-Gaussian signatures are mainly generated by boost-breaking interaction vertices, the dominant effect in the present framework arises directly from the propagation of the spectator modes. Non-relativistic corrections deform the bulk mode functions, inducing a tilt that modifies the in-in correlators and generates a distinctive collider signal. The resulting squeezed-limit non-Gaussianity reproduces the qualitative structure of boostless cosmological-collider signals while originating from a fundamentally different dynamical mechanism. A central feature of the construction is the emergence of an effective chemical-potential-like parameter that controls the relative weight of the two late-time oscillatory branches. However, the tilted-ghost mode exhibits distinctive dynamical features and does not correspond to a conventional chemical-potential deformation. Depending on the sign of the tilt, the corresponding non-Gaussian signal can be either enhanced or suppressed. We show that the tilted-ghost scenario provides a simple effective framework in which boostless-collider phenomenology and chemical-potential-like branch asymmetries arise naturally from non-relativistic propagation effects.

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 / 2 minor

Summary. The paper proposes a non-relativistic realization of boostless cosmological collider signals mediated by a massive tilted-ghost spectator field during inflation. Non-relativistic corrections deform the bulk mode functions of the spectator, modifying the in-in correlators to produce squeezed-limit non-Gaussianity that qualitatively reproduces standard boostless collider signatures but arises from propagation effects rather than boost-breaking vertices. An effective chemical-potential-like parameter emerges from the tilt to control the relative weights of late-time oscillatory branches, with the signal enhanced or suppressed depending on the sign of the tilt. The construction is presented as a simple effective framework for generating such phenomenology from non-relativistic dynamics.

Significance. If the stability of the tilted-ghost field and the validity of the in-in calculations are established, the work provides a distinct dynamical origin for collider-like non-Gaussianities that does not rely on specific interaction vertices. This could broaden model-building options for interpreting potential signals in cosmological observables and clarifies how non-relativistic propagation can induce chemical-potential-like asymmetries in de Sitter space without direct analogy to conventional deformations.

major comments (2)
  1. [model definition / quadratic action] The quadratic action and dispersion relation for the tilted-ghost spectator (introduced in the model setup): the assumption that non-relativistic corrections dominate the in-in correlators without destabilizing the inflationary background requires an explicit check that the mode frequencies remain real for sub-horizon scales. The presence of a ghost-like kinetic term raises the possibility of imaginary parts in the dispersion for certain momenta, which would violate the validity of the spectator as a stable massive degree of freedom and push the EFT cutoff below Hubble.
  2. [results / squeezed limit] The in-in computation of the squeezed bispectrum (central results section): while the abstract states that the signal reproduces the qualitative structure of boostless collider signals, the manuscript should provide a direct side-by-side comparison of the oscillatory envelope and phase dependence against standard boostless constructions to substantiate the claim of a fundamentally different mechanism. Without this, it is unclear whether the reproduction is robust or merely superficial.
minor comments (2)
  1. [mode functions] Clarify the precise definition and range of the tilt parameter in the mode-function deformation; notation for the effective chemical-potential-like quantity should be introduced with an equation rather than descriptively.
  2. [introduction] The abstract mentions that the tilted-ghost does not correspond to a conventional chemical-potential deformation; a brief footnote or paragraph contrasting the two would aid readers familiar with the latter.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for their careful reading of our manuscript and for the constructive comments. We appreciate the positive assessment of the potential significance of the non-relativistic tilted-ghost framework. Below we respond point by point to the major comments, indicating the revisions that will be incorporated.

read point-by-point responses

  1. Referee: [model definition / quadratic action] The quadratic action and dispersion relation for the tilted-ghost spectator (introduced in the model setup): the assumption that non-relativistic corrections dominate the in-in correlators without destabilizing the inflationary background requires an explicit check that the mode frequencies remain real for sub-horizon scales. The presence of a ghost-like kinetic term raises the possibility of imaginary parts in the dispersion for certain momenta, which would violate the validity of the spectator as a stable massive degree of freedom and push the EFT cutoff below Hubble.

    Authors: We agree that an explicit verification of the dispersion relation is required to confirm stability. In our construction the tilt is introduced as a perturbative non-relativistic correction, and the parameter range is chosen so that the mode frequencies remain real and positive for sub-horizon momenta relevant to the in-in calculation. To address the referee’s concern directly we will add a short subsection deriving the quadratic action and dispersion relation, together with an analytic demonstration (and, if space permits, a plot) that imaginary parts are absent for the values of the tilt parameter employed in the subsequent correlator computations. This addition will also state the resulting lower bound on the EFT cutoff relative to the Hubble scale. revision: yes

  2. Referee: [results / squeezed limit] The in-in computation of the squeezed bispectrum (central results section): while the abstract states that the signal reproduces the qualitative structure of boostless collider signals, the manuscript should provide a direct side-by-side comparison of the oscillatory envelope and phase dependence against standard boostless constructions to substantiate the claim of a fundamentally different mechanism. Without this, it is unclear whether the reproduction is robust or merely superficial.

    Authors: We accept that a direct comparison would strengthen the presentation of our claim that the signal originates from propagation rather than from boost-breaking vertices. We will revise the results section to include a side-by-side comparison—either as an additional figure or as a compact table—of the oscillatory envelope and phase of the squeezed bispectrum in the tilted-ghost model versus a representative standard boostless collider construction. The comparison will explicitly note both the shared qualitative features in the squeezed limit and the distinct dynamical origin arising from the effective chemical-potential-like tilt in the mode functions. revision: yes

Circularity Check

0 steps flagged

No significant circularity; derivation self-contained in non-relativistic propagation

full rationale

The paper claims that non-relativistic corrections to the tilted-ghost spectator modes deform bulk mode functions and generate squeezed-limit non-Gaussianity via an emergent effective chemical-potential-like parameter. No equations, self-citations, or fitted parameters are exhibited in the provided text that reduce the central result to a redefinition of inputs. The mechanism is presented as originating from propagation effects distinct from boost-breaking vertices, with the tilt controlling branch weights as a derived feature rather than an imposed ansatz. The construction remains independent of the target signal by the abstract's own framing and does not invoke load-bearing self-citations or uniqueness theorems from prior work by the authors.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

Abstract-only review prevents enumeration of specific free parameters or axioms. The construction implicitly relies on the existence of a massive tilted-ghost field and the validity of non-relativistic approximations during inflation, but no explicit count or justification is supplied.

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discussion (0)

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    The resulting squeezed-limit non-Gaussianity reproduces the qualitative structure of boostless cosmological-collider signals while originating from a fundamentally different dynamical mechanism based on non-relativistic propagation of the tilted-ghost spectator modes.

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Reference graph

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