On Searches for Gravitational Dark Matter with Quantum Sensors

Xavier Calmet

arxiv: 1907.05680 · v1 · pith:6H7HYTEJnew · submitted 2019-07-12 · ✦ hep-ph · quant-ph

On Searches for Gravitational Dark Matter with Quantum Sensors

Xavier Calmet This is my paper

Pith reviewed 2026-05-24 22:29 UTC · model grok-4.3

classification ✦ hep-ph quant-ph

keywords gravitational dark matterquantum sensorsatomic clocksproton mass variationdark matter detectiontime variation of constants

0 comments

The pith

Gravitational dark matter in the 0.001 to 1 eV range could produce a measurable time variation in the proton mass.

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

The paper examines using quantum sensors to look for dark matter that interacts only through gravity. It focuses on candidates whose masses fall between 10 to the minus 3 and 1 electronvolt, arguing that these could create an effective time-dependent shift in the proton mass. Future atomic clocks with better precision might register this shift as a signal. A sympathetic reader would see value in a method that targets a type of dark matter otherwise invisible to conventional detectors.

Core claim

Gravitational dark matter candidates with masses in the range [10^{-3}, 1] eV could lead to an effective time variation of the proton mass that could be measured with, e.g., future atomic clocks. This possibility opens a narrow window for searches with quantum sensors of improved sensitivity.

What carries the argument

Gravitational coupling between dark matter and ordinary matter that induces an effective time variation of the proton mass.

If this is right

Quantum sensors such as atomic clocks could be repurposed to search for gravitational dark matter in the identified mass window.
Only a narrow interval of dark matter masses produces an effect large enough for detection with foreseeable technology.
Improved clock stability would directly expand the testable parameter space for this class of dark matter.
The approach relies on monitoring variations in fundamental constants rather than direct particle scattering.

Where Pith is reading between the lines

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

Precision metrology of constants like the proton mass could serve as an indirect probe for purely gravitational dark matter.
If the effect is confirmed, it would link advances in quantum sensing directly to tests of dark matter models that evade other detection channels.
Development of clocks with higher stability might be prioritized for fundamental physics rather than only timekeeping applications.

Load-bearing premise

Gravitational dark matter particles in the stated mass range exist and couple strongly enough through gravity to create a detectable time variation in the proton mass.

What would settle it

Long-term operation of an atomic clock at sensitivity levels beyond current limits that shows no anomalous drift in the proton-to-electron mass ratio would rule out a detectable signal from this mechanism.

read the original abstract

The possibility of searching for dark matter with quantum sensors has recently received a lot of attention. In this short paper, we discuss the possibility of searching for gravitational dark matter with quantum sensors and identify a very narrow window of opportunity for future quantum sensors with improved sensitivity. Gravitational dark matter candidates with masses in the range $[10^{-3}, 1] \, \text{eV}$ could lead to an effective time variation of the proton mass that could be measured with, e.g., future atomic clocks.

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.

Desk Editor's Note private letter to a colleague

This short note flags a narrow mass window where gravitational dark matter might produce a detectable proton-mass variation in future atomic clocks, but supplies no amplitude estimate to back the claim.

read the letter

The main thing to know is that the paper is a brief discussion piece pointing out that gravitational dark matter in the 10^{-3} to 1 eV range could induce an effective time variation in the proton mass, potentially measurable by improved atomic clocks. It stays within the gravitational coupling assumption and narrows the mass window to something future sensors might target. That identification of the range is the concrete step it takes beyond generic statements about quantum sensors and dark matter. The writing is direct and keeps the scope limited, which fits a short note format. It correctly avoids claiming new bounds or detections and instead frames the idea as a possibility worth considering. The citation pattern is light, as expected for this kind of suggestion. The central limitation is the absence of any calculation showing the size of the effect. Purely gravitational coupling to dark matter at those masses should produce a very small fractional shift in proton mass, set by the local density, G, and the coherence properties. Without even an order-of-magnitude estimate of that shift relative to projected clock sensitivity, the detectability statement rests on an unexamined assumption. If the full text adds nothing beyond the abstract on this point, the load-bearing step remains unsupported. This kind of note is mainly useful to people already working on precision metrology for dark matter searches who want a quick pointer to a possible mass slice. It is not a result that changes how one thinks about the problem, but it is coherent on its own terms and could prompt a follow-up calculation. I would send it to peer review as a short letter so the community can decide whether the window is worth pursuing with actual numbers.

Referee Report

1 major / 0 minor

Summary. The manuscript discusses the possibility of detecting gravitational dark matter using quantum sensors and identifies a narrow mass window [10^{-3}, 1] eV in which such candidates could induce an effective time variation of the proton mass, potentially measurable with future atomic clocks.

Significance. If the central claim holds with quantitative support, the work would identify a new, albeit narrow, search channel for gravitational DM that exploits the precision of quantum sensors such as atomic clocks, complementing existing direct-detection approaches. The absence of any amplitude estimate or derivation, however, prevents assessment of whether the effect lies within reach of foreseeable experiments.

major comments (1)

[Abstract/main text] Abstract and main text: the assertion that gravitational DM in the stated mass range produces a measurable time variation in the proton mass is presented without any derivation or order-of-magnitude estimate of the fractional shift δm_p/m_p. No calculation relating the DM stress-energy tensor, local density, coherence length, or geodesic effects to the induced mass variation is supplied, rendering the detectability claim unevaluable.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their report and the opportunity to clarify our manuscript. We address the single major comment below.

read point-by-point responses

Referee: [Abstract/main text] Abstract and main text: the assertion that gravitational DM in the stated mass range produces a measurable time variation in the proton mass is presented without any derivation or order-of-magnitude estimate of the fractional shift δm_p/m_p. No calculation relating the DM stress-energy tensor, local density, coherence length, or geodesic effects to the induced mass variation is supplied, rendering the detectability claim unevaluable.

Authors: We agree that the manuscript would be improved by including a brief derivation and order-of-magnitude estimate of δm_p/m_p. As a short communication, the focus was on identifying the narrow mass window [10^{-3}, 1] eV where gravitational DM could induce an effective time variation of the proton mass via its stress-energy tensor and local density, potentially accessible to future atomic clocks. To address the referee's point, we will add a concise estimate in the revised version relating the DM density, coherence length, and geodesic effects to the induced fractional mass shift, allowing quantitative assessment of detectability. revision: yes

Circularity Check

0 steps flagged

No derivation chain or equations present; claim is purely qualitative discussion.

full rationale

The manuscript is a short discussion note. The abstract and full text contain no equations, no parameter fits, no self-citations used as load-bearing premises, and no derivation steps that could reduce to inputs by construction. The central statement is an existence claim about a possible effect without any quantitative reduction or ansatz. No circularity patterns apply.

Axiom & Free-Parameter Ledger

0 free parameters · 1 axioms · 0 invented entities

The central claim rests on the domain assumption that gravitational dark matter exists and couples in a way that induces observable proton-mass variation; no free parameters or invented entities are visible in the abstract.

axioms (1)

domain assumption Gravitational dark matter exists and induces an effective time variation of the proton mass for masses in [10^{-3}, 1] eV.
This premise is required for the measurement opportunity stated in the abstract.

pith-pipeline@v0.9.0 · 5592 in / 1144 out tokens · 56697 ms · 2026-05-24T22:29:36.479349+00:00 · methodology

discussion (0)

Reference graph

Works this paper leans on

27 extracted references · 27 canonical work pages · 18 internal anchors

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Tanabashi et al

M. Tanabashi et al. [Particle Data Group], Phys. Rev. D 98, no. 3, 030001 (2018). doi:10.1103/PhysRevD.98.030001

work page doi:10.1103/physrevd.98.030001 2018

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Dark Matter: A Primer

K. Garrett and G. Duda, Adv. Astron. 2011, 968283 (2011) doi:10.1155/2011/968283 [arXiv:1006.2483 [hep-ph]]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1155/2011/968283 2011

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work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.85.1158 2000

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Searching for dilaton dark matter with atomic clocks

A. Arvanitaki, J. Huang and K. Van Tilburg, Phys. Rev. D 91, no. 1, 015015 (2015) doi:10.1103/PhysRevD.91.015015 [arXiv:1405.2925 [hep-ph]]

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work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.117.061301 2016

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Sound of Dark Matter: Searching for Light Scalars with Resonant-Mass Detectors

A. Arvanitaki, S. Dimopoulos and K. Van Tilburg, Phys. Rev. Lett. 116, no. 3, 031102 (2016) doi:10.1103/PhysRevLett.116.031102 [arXiv:1508.01798 [hep -ph]]

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P. W. Graham, D. E. Kaplan, J. Mardon, S. Rajendran and W. A. T errano, Phys. Rev. D 93, no. 7, 075029 (2016) doi:10.1103/PhysRevD.93.075029 [arXiv:151 2.06165 [hep-ph]]

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P. W. Graham, J. M. Hogan, M. A. Kasevich and S. Rajendran, Ph ys. Rev. Lett. 110, 171102 (2013) doi:10.1103/PhysRevLett.110.171102 [arXiv:1206.08 18 [quant-ph]]

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Arvanitaki, P

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work page doi:10.1103/physrevd.97.075020 2018

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Y. V. Stadnik and V. V. Flambaum, Mod. Phys. Lett. A 29, no. 37, 1440007 (2014) doi:10.1142/S0217732314400070 [arXiv:1409.2986 [hep-ph]]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1142/s0217732314400070 2014

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work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.114.161301 2015

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Y. V. Stadnik and V. V. Flambaum, arXiv:1806.03115 [physics.atom -ph]

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work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.102.141301 2009

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Dark Matter in Quantum Gravity

X. Calmet and B. Latosh, Eur. Phys. J. C 78, no. 6, 520 (2018) doi:10.1140/epjc/s10052- 018-6005-8 [arXiv:1805.08552 [hep-th]]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1140/epjc/s10052- 2018

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G. F. Giudice, R. Rattazzi and J. D. Wells, Nucl. Phys. B 595, 250 (2001) doi:10.1016/S0550-3213(00)00686-6 [hep-ph/0002178]. 6

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/s0550-3213(00)00686-6 2001

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D. J. Kapner, T. S. Cook, E. G. Adelberger, J. H. Gundlach, B. R. Heckel, C. D. Hoyle and H. E. Swanson, Phys. Rev. Lett. 98, 021101 (2007) doi:10.1103/PhysRevLett.98.021101 [hep-ph/0611184]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.98.021101 2007

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C. D. Hoyle, D. J. Kapner, B. R. Heckel, E. G. Adelberger, J. H. Gundlach, U. Schmidt and H. E. Swanson, Phys. Rev. D 70, 042004 (2004) doi:10.1103/PhysRevD.70.042004 [hep-ph/0405262]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevd.70.042004 2004

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E. G. Adelberger, B. R. Heckel, S. A. Hoedl, C. D. Hoyle, D. J. Ka pner and A. Upadhye, Phys. Rev. Lett. 98, 131104 (2007) doi:10.1103/PhysRevLett.98.131104 [hep-ph/0611223]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevlett.98.131104 2007

[20] [21]

Oscillating Spin-2 Dark Matter

L. Marzola, M. Raidal and F. R. Urban, Phys. Rev. D 97, no. 2, 024010 (2018) doi:10.1103/PhysRevD.97.024010 [arXiv:1708.04253 [hep-ph]]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1103/physrevd.97.024010 2018

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C. G. Callan, Jr., E. J. Martinec, M. J. Perry and D. Friedan, Nuc l. Phys. B 262, 593 (1985). doi:10.1016/0550-3213(85)90506-1

work page doi:10.1016/0550-3213(85)90506-1 1985

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C. G. Callan, Jr., I. R. Klebanov and M. J. Perry, Nucl. Phys. B 278, 78 (1986). doi:10.1016/0550-3213(86)90107-0

work page doi:10.1016/0550-3213(86)90107-0 1986

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work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/0550-3213(92)90193-f 1988

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T. Damour and A. M. Polyakov, Nucl. Phys. B 423, 532 (1994) doi:10.1016/0550- 3213(94)90143-0 [hep-th/9401069]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1016/0550- 1994

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Holdom, Phys

B. Holdom, Phys. Lett. 166B, 196 (1986). doi:10.1016/0370-2693(86)91377-8

work page doi:10.1016/0370-2693(86)91377-8 1986

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Naturally Light Hidden Photons in LARGE Volume String Compactifications

M. Goodsell, J. Jaeckel, J. Redondo and A. Ringwald, JHEP 0911, 027 (2009) doi:10.1088/1126-6708/2009/11/027 [arXiv:0909.0515 [hep-ph]]

work page internal anchor Pith review Pith/arXiv arXiv doi:10.1088/1126-6708/2009/11/027 2009

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f(R) theories

A. De Felice and S. Tsujikawa, Living Rev. Rel. 13, 3 (2010) doi:10.12942/lrr-2010-3 [arXiv:1002.4928 [gr-qc]]. 7

work page internal anchor Pith review Pith/arXiv arXiv doi:10.12942/lrr-2010-3 2010