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arxiv: 2606.30781 · v1 · pith:FNAPIS5Dnew · submitted 2026-06-29 · ✦ hep-ph · hep-ex· quant-ph

A Levitated-Magnet Vector Force Sensor for Spin-Dependent Exotic Interactions

Dorian W. P. Amaral , Lei Cong , Tim M. Fuchs , Hendrik Ulbricht , Dmitry Budker This is my paper

Pith reviewed 2026-07-01 01:36 UTC · model grok-4.3

classification ✦ hep-ph hep-exquant-ph
keywords levitated ferromagnetsspin-dependent exotic interactionsfifth forcesaxial-vector-vector interactionsZ' bosonvector force sensormatched-filter analysis
0
0 comments X

The pith

A magnetically levitated ferromagnet can probe spin-dependent exotic electron-electron interactions at distances below one centimeter.

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

The paper presents a vector force sensor using magnetically levitated ferromagnets to search for spin-dependent exotic interactions. These interactions produce forces with directional signatures depending on spin configurations. The sensor maps these forces to distinct translational modes with different frequencies, allowing separation of channels. Using a matched-filter analysis on an existing experimental setup, it can reach the pure electron-electron coupling in a previously inaccessible range of force ranges below 1 cm, corresponding to light mediator masses. This establishes levitated ferromagnets for millimeter-scale searches for such fifth forces.

Core claim

A defining feature of spin-dependent exotic interactions is that they can generate forces with distinct directional signatures set by the relative spin configuration of the interacting bodies. The sensor resolves these signatures by mapping forces along different axes onto distinct translational modes with different resonance frequencies, thereby separating interaction channels within the same coupling class. As a representative example, parity-violating axial-vector--vector interactions mediated by a spin-1 Z' boson between a sensing and a driving levitated ferromagnet can be probed for the pure electron-electron coupling g_A^e g_V^e in the range λ ≲ 1 cm using matched-filter likelihood ana

What carries the argument

magnetically levitated ferromagnetic vector force sensor that maps forces along different axes onto distinct translational modes with different resonance frequencies

Load-bearing premise

The assumption that the resonance frequencies of the distinct translational modes allow clean separation of the axial-vector-vector interaction channels without significant crosstalk or loss of sensitivity.

What would settle it

An experiment demonstrating that the translational modes of the levitated ferromagnets exhibit significant crosstalk between force channels or fail to achieve the required sensitivity for the projected coupling reach.

Figures

Figures reproduced from arXiv: 2606.30781 by Dmitry Budker, Dorian W. P. Amaral, Hendrik Ulbricht, Lei Cong, Tim M. Fuchs.

Figure 1
Figure 1. Figure 1: FIG. 1: Depiction of the experiment. The time-altering potentials sourced by the driver generate a force on the sensor [PITH_FULL_IMAGE:figures/full_fig_p002_1.png] view at source ↗
Figure 2
Figure 2. Figure 2: FIG. 2: The 95% C. L. projected limits on AV interac [PITH_FULL_IMAGE:figures/full_fig_p005_2.png] view at source ↗
Figure 3
Figure 3. Figure 3: FIG. 3: The exotic force signals we consider in Eq. ( [PITH_FULL_IMAGE:figures/full_fig_p009_3.png] view at source ↗
Figure 4
Figure 4. Figure 4: FIG. 4 [PITH_FULL_IMAGE:figures/full_fig_p012_4.png] view at source ↗
read the original abstract

We present a magnetically levitated ferromagnetic vector force sensor that enables selective searches for spin-dependent exotic interactions mediated by beyond-Standard-Model bosons. A defining feature of spin-dependent exotic interactions is that they can generate forces with distinct directional signatures set by the relative spin configuration of the interacting bodies. We show that our sensor resolves these signatures by mapping forces along different axes onto distinct translational modes with different resonance frequencies, thereby separating interaction channels within the same coupling class. As a representative example, we study parity-violating axial-vector--vector interactions mediated by a spin-1 $Z'$ boson between a sensing and a driving levitated ferromagnet. Using a matched-filter likelihood analysis, we show that a setup based on an already demonstrated experiment can probe the pure electron--electron coupling $g_A^e g_V^e$ in the previously inaccessible force range $\lambda \lesssim 1\,\mathrm{cm}$, corresponding to mediator masses $M_{Z'} \gtrsim 10^{-5}\,\mathrm{eV}/c^2$. Our results establish levitated ferromagnets as a promising platform for millimeter-scale searches for spin-dependent fifth forces and for resolving the multiple effective potentials associated with a given coupling class.

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

1 major / 0 minor

Summary. The manuscript proposes a magnetically levitated ferromagnetic vector force sensor for searches of spin-dependent exotic interactions. It claims that forces from axial-vector--vector couplings (mediated by a spin-1 Z' boson) produce distinct directional signatures that map onto separate translational modes of the levitated magnets, which have different resonance frequencies; a matched-filter likelihood analysis on an already-demonstrated experimental configuration then projects sensitivity to the pure electron-electron coupling g_A^e g_V^e in the previously inaccessible range λ ≲ 1 cm (M_Z' ≳ 10^{-5} eV/c²).

Significance. If the mode-separation premise holds with quantified crosstalk bounds, the work would establish levitated ferromagnets as a platform capable of resolving multiple effective potentials within a single coupling class at millimeter scales, extending fifth-force searches into a new regime without requiring new hardware beyond existing demonstrations.

major comments (1)
  1. [Abstract / mode-mapping description] Abstract and the section describing the mapping of forces onto translational modes: the assertion that distinct resonance frequencies enable clean separation of axial-vector--vector channels (and subsequent unambiguous attribution in the matched-filter analysis) is not accompanied by a quantitative bound on crosstalk from finite frequency separation, trap anharmonicity, or small misalignments. If off-diagonal coupling exceeds a few percent, the projected reach below λ = 1 cm cannot be substantiated.

Simulated Author's Rebuttal

1 responses · 0 unresolved

We thank the referee for their careful review and constructive comment regarding the need for quantitative crosstalk bounds. We address the point below.

read point-by-point responses

  1. Referee: [Abstract / mode-mapping description] Abstract and the section describing the mapping of forces onto translational modes: the assertion that distinct resonance frequencies enable clean separation of axial-vector--vector channels (and subsequent unambiguous attribution in the matched-filter analysis) is not accompanied by a quantitative bound on crosstalk from finite frequency separation, trap anharmonicity, or small misalignments. If off-diagonal coupling exceeds a few percent, the projected reach below λ = 1 cm cannot be substantiated.

    Authors: We agree that the manuscript would be strengthened by explicit quantitative bounds on crosstalk. The original text relies on the distinct resonance frequencies of the translational modes (as demonstrated in the referenced experimental platform) to separate the axial-vector--vector channels but does not include a dedicated calculation of off-diagonal coupling from finite frequency separation, anharmonicity, or misalignments. In the revised manuscript we will add a new subsection that: (i) computes the frequency separation using the trap parameters from the existing demonstration, (ii) estimates anharmonic contributions via the known potential expansion, (iii) bounds misalignment effects at the level of typical experimental alignment precision, and (iv) shows that the resulting off-diagonal matrix elements remain below ~2% across the force range of interest. This will directly support the matched-filter projections for λ ≲ 1 cm. revision: yes

Circularity Check

0 steps flagged

No circularity; projection uses external demonstrated experiment and standard analysis

full rationale

The paper presents a sensitivity projection for a levitated-magnet sensor based on an already-demonstrated experiment, mapping forces to distinct translational modes and applying a matched-filter likelihood analysis. No step reduces by construction to a fitted input, self-definition, or self-citation chain; the mode-separation premise is an explicit assumption about the apparatus rather than an output derived from the target result. The derivation chain remains self-contained against external benchmarks and does not rename known results or smuggle ansatzes via citation.

Axiom & Free-Parameter Ledger

0 free parameters · 2 axioms · 0 invented entities

Based solely on the abstract, the central claim rests on standard assumptions of classical mechanics for levitated objects and quantum field theory for the exotic interaction; no free parameters or invented entities are explicitly introduced in the provided text.

axioms (2)
  • domain assumption Levitated ferromagnets produce distinct translational modes with different resonance frequencies that map one-to-one onto force directions.
    Invoked when stating that forces along different axes are separated by resonance frequencies.
  • domain assumption The matched-filter likelihood analysis can extract the interaction signal from the sensor output without unaccounted systematics.
    Used to reach the quoted sensitivity on g_A^e g_V^e.

pith-pipeline@v0.9.1-grok · 5758 in / 1406 out tokens · 33264 ms · 2026-07-01T01:36:21.616793+00:00 · methodology

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Reference graph

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