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arxiv: 2507.08813 · v2 · submitted 2025-06-27 · ⚛️ physics.pop-ph · quant-ph

Quantum Listenings -- Amateur Sonification of Vacuum and other Noises

Carsten Henkel This is my paper

Pith reviewed 2026-05-19 08:26 UTC · model grok-4.3

classification ⚛️ physics.pop-ph quant-ph
keywords sonificationquantum vacuumfractal complexityauditory renderingmusic comparisonphysical data listeningsensory interpretation
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The pith

Sonifying data from vacuum and near-quantum systems produces sounds with fractal complexity along the time axis that resembles music.

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

The paper explores turning scientific data from systems near the quantum regime into audible sounds as a complement to visual analysis. It selects examples like vacuum fluctuations and compares the resulting auditory renderings to visual ones, noting connections to music through shared patterns of complexity. A sympathetic reader would care because this approach opens an additional sensory pathway for interpreting phenomena that are otherwise inaccessible, potentially making abstract physics more intuitive through listening.

Core claim

By creating auditory versions of data from vacuum and similar noises that sit close to where quantum mechanics applies, the renderings display a fractal complexity along the time axis. This complexity can be directly compared to features found in music, while visual and auditory presentations are placed side by side to show how the two senses together aid interpretation of physical systems.

What carries the argument

Sonification of near-quantum scientific data into sound files that are then listened to and compared against their visual counterparts for shared fractal time structures.

If this is right

  • Visual and auditory renderings can be used together to interpret the same physical data more completely.
  • Fractal patterns in the time domain of the sounds link the quantum-adjacent data to musical structures.
  • Systems normally outside direct human reach become accessible through listening in addition to looking.
  • The method illustrates how complementary senses can both contribute to understanding physical phenomena.

Where Pith is reading between the lines

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

  • This listening approach could be extended to classroom demonstrations that let students hear quantum-like fluctuations rather than only plotting them.
  • Similar sonification might be applied to other noisy datasets in physics to test whether the fractal-time feature appears consistently across different regimes.
  • Public engagement with quantum topics could shift if audio versions of the data become standard alongside graphs and simulations.

Load-bearing premise

The chosen data samples sit close enough to the quantum regime that converting them into sound yields meaningful new insight beyond what visuals already provide.

What would settle it

A direct comparison in which the sonified audio tracks show no measurable increase in perceived or analyzed fractal structure over time relative to the original visual plots or to standard musical examples.

Figures

Figures reproduced from arXiv: 2507.08813 by Carsten Henkel.

Figure 1
Figure 1. Figure 1: Example of an acoustic waveform (two stereo chan￾nels are shown). These 210 ms represent the 2nd eighth note (see insert, g1 ≈ 392 Hz, i.e. period 2.55 ms) of Beethoven’s 5th Symphony, 1st Movement (c minor, op. 67) [2]. Audio file: Beethoven5_2nd-8th.mp3. in music are organised in a logarithmic scale, each fac￾tor of two being represented by a fixed distance (one oc￾tave). A linear progression of frequenc… view at source ↗
Figure 2
Figure 2. Figure 2: Harmonics of D (≈ 73 Hz) up to the eighth (three octaves). In the usual tuning, the 6th harmonic appears at a1 = 440 Hz. The 7th harmonic appears approximately a quarter tone below c2 = 523 Hz, i.e., at ≈ 508 Hz (accidental ♭), cf. audio file obertonreihe.mp3. (In diatonic tuning, D would appear at 440/6 = 73.333 Hz, in well-tempered tuning, at 2−7/12 440/4 = 73.416 Hz.) The fundamental musical identificat… view at source ↗
Figure 4
Figure 4. Figure 4: Frequencies corresponding to the binding energies of the Hydrogen atom mapped to a piano keyboard. Note the beautiful features of “atomic harmony” [3]: the levels n = 2, 3 are separated by two fifths (ratio (2/3)2 ) and 3, 4 by two fourths ((3/4)2 ). (The slight offset of the levels n = 3, 6 with respect to the keys is actually due to the well-tempered tuning assumed here where fifths and fourths are not “… view at source ↗
Figure 5
Figure 5. Figure 5: Analysis of nonlinear oscillations upon approaching a cantilever to a solid surface. In each of the four panels, one finds at top left: trajectory, top right: phase space protrait, bottom left: effective potential including a harmonic contribution from the piezo-control, bottom right: power spectrum (Fourier transform) of the vibration. The oscillation occurs at a fixed energy about 15 kBT above the potent… view at source ↗
Figure 7
Figure 7. Figure 7: Spectrogram for a simple recording of a railway en￾gine revving up. Logarithmic scale for frequency axis. A close￾to-diatonic scale climbing up can be faintly seen (thin gray line to guide the eye), but is clearly discernible in the audio file locomotive_rev_up.mp3. The duration shown is 4 sec. finement at the other end. It has been shown that the quan￾tum fluctuation energy in bandwidth d f is given by [8… view at source ↗
Figure 6
Figure 6. Figure 6: Synthetic noise with a thermal spectrum (first 750ms), including quantum noise and a white spectrum (last 750ms). The dip around 8kHz in the spectrogram is probably due to the digital sampling. A mixed time and frequency representation is called a spectrogram and displays as a function of time a slid￾ing Fourier transform similar to Eq. (5) (thus providing in￾formation like a musical score). Different temp… view at source ↗
Figure 8
Figure 8. Figure 8: Local spectrum of energy fluctuations in the ground state of a Bose condensate. The system is confined to the half￾space z ≥ 0 by a “quarter-pipe” potential (top left panel). The top right panel is a crude musical score (sonify_deep_a.mp3): it tries to capture the condensate as a base tone, the lowering of the frequency spectrum and its slowing down, as one moves away from the edge position z = 0. Distance… view at source ↗
Figure 9
Figure 9. Figure 9: Mixing two noise signals while keeping constant the overall loudness impression (which is quadratic in the signal am￾plitude). In the overlap region of the two noise samples, the sig￾nals are multiplied with cosine and sine functions whose squares sum to unity, and then added. 4 Conclusion A quantum physicist with some affinities to noise and mu￾sic has tried himself for this paper in amateur sonification.… view at source ↗
Figure 11
Figure 11. Figure 11: Full π/e sonification sketched in [PITH_FULL_IMAGE:figures/full_fig_p008_11.png] view at source ↗
Figure 12
Figure 12. Figure 12: Brownian motion rendering of π/e: same 12-digit encoding as in [PITH_FULL_IMAGE:figures/full_fig_p009_12.png] view at source ↗
Figure 13
Figure 13. Figure 13: π/e with decimal digits in the π voice, base 5 in voice e. A blues-like diatonic scale based on D (ten notes in total) has been combined with the pentatonic scale of [PITH_FULL_IMAGE:figures/full_fig_p010_13.png] view at source ↗
read the original abstract

The sensory perceptions of vision and sound may be considered as complementary doorways towards interpreting and understanding physical phenomena. We provide a few selected samples where scientific data of systems usually not directly accessible to humans may be listened to. The examples are chosen close to the regime where quantum mechanics is applicable. Visual and auditory renderings are compared with some connections to music, illustrating in particular a kind of fractal complexity along the time axis.

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 manuscript presents selected amateur sonifications of scientific data from physical systems near the quantum regime (e.g., vacuum fluctuations and other noises). It compares the resulting auditory renderings with visual ones, drawing connections to music and noting a kind of fractal complexity along the time axis.

Significance. If the sonifications genuinely expose intrinsic fractal properties of the quantum data rather than artifacts of the mapping, the work could offer a complementary sensory approach to interpreting complex phenomena and support public outreach by linking physical data to musical structures.

major comments (2)
  1. [Abstract] Abstract: the central claim that auditory renderings 'reveal a kind of fractal complexity along the time axis' that can be compared to music lacks any quantitative support such as power spectral densities, Hurst exponents, or fractal dimension estimates extracted from the waveforms, nor any surrogate or control comparisons (e.g., classical noise or randomized data).
  2. [Abstract] Abstract / main text: no description is given of the sonification algorithm, including the mapping from raw data values to audio parameters (pitch, amplitude, filtering, time scaling), making it impossible to determine whether observed complexity is preserved from the quantum process or imposed by arbitrary choices in the procedure.
minor comments (2)
  1. The manuscript would be strengthened by providing direct links or a supplementary repository containing the actual audio files and raw data samples so that readers can independently assess the renderings.
  2. Clarify the precise criteria used to select data samples as 'close to the regime where quantum mechanics is applicable,' perhaps with a brief comparison to classical equivalents.

Simulated Author's Rebuttal

2 responses · 0 unresolved

We thank the referee for the detailed and constructive report. We address the two major comments point by point below, indicating the changes we intend to make in a revised version.

read point-by-point responses

  1. Referee: [Abstract] Abstract: the central claim that auditory renderings 'reveal a kind of fractal complexity along the time axis' that can be compared to music lacks any quantitative support such as power spectral densities, Hurst exponents, or fractal dimension estimates extracted from the waveforms, nor any surrogate or control comparisons (e.g., classical noise or randomized data).

    Authors: We agree that the claim of fractal-like complexity is currently stated qualitatively on the basis of direct auditory and visual comparison. The work is submitted to physics.pop-ph as an amateur exploration rather than a quantitative study. In the revision we will rephrase the abstract to make the observational character explicit and add a short paragraph in the main text that discusses the absence of formal fractal metrics, notes the practical difficulties of applying Hurst or dimension estimates to short sonified excerpts, and includes simple power-spectral-density comparisons with surrogate data where the original time series permit it. revision: yes

  2. Referee: [Abstract] Abstract / main text: no description is given of the sonification algorithm, including the mapping from raw data values to audio parameters (pitch, amplitude, filtering, time scaling), making it impossible to determine whether observed complexity is preserved from the quantum process or imposed by arbitrary choices in the procedure.

    Authors: The referee is correct that the sonification procedure is not described. We will insert a new methods subsection that specifies the data sources, the exact mapping rules (e.g., linear or logarithmic scaling of amplitude to loudness, frequency mapping for pitch, any time compression or filtering applied), and the software tools used. This addition will allow readers to judge how much of the perceived structure originates in the physical data versus the chosen auditory rendering. revision: yes

Circularity Check

0 steps flagged

No significant circularity; paper is purely descriptive with no derivations or predictions

full rationale

The manuscript presents selected samples of quantum-adjacent data rendered as sound, compares visual and auditory versions, and notes a qualitative resemblance to music via fractal complexity along the time axis. No equations, parameter fits, predictions, uniqueness theorems, or self-citations appear in the provided text. The central claim rests on direct observation of the sonified outputs rather than any chain that reduces to its own inputs by construction. This is the expected honest outcome for a popular-science sonification note lacking mathematical structure.

Axiom & Free-Parameter Ledger

0 free parameters · 0 axioms · 0 invented entities

The paper is descriptive and illustrative with no formal axioms, free parameters, or invented entities required for a central claim.

pith-pipeline@v0.9.0 · 5580 in / 909 out tokens · 18422 ms · 2026-05-19T08:26:59.355502+00:00 · methodology

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Reference graph

Works this paper leans on

12 extracted references · 12 canonical work pages

  1. [1]

    Henkel, Sonification_CD25, https://gitup

    C. Henkel, Sonification_CD25, https://gitup. uni-potsdam.de/henkel/sonification_ cd25/

    work page

  2. [2]

    West-Eastern Divan Orchestra, Daniel Barenboim (conductor), Live in Ramallah, Warner Classics (2005/2006)

    work page 2005

  3. [3]

    Sommerfeld, Atombau und Spektrallinien: Wellenmechanischer Ergänzungsband (F

    A. Sommerfeld, Atombau und Spektrallinien: Wellenmechanischer Ergänzungsband (F. Vieweg, 1929)

    work page 1929

  4. [4]

    Kramida, Y

    A. Kramida, Y . Ralchenko, J. Reader, NIST ASD Team, NIST atomic spectra database 78 (version 5.12) (2024), https://physics.nist.gov/asd

    work page 2024

  5. [5]

    Giessibl, Forces and frequency shifts in atomic- resolution dynamic-force microscopy, Phys

    F.J. Giessibl, Forces and frequency shifts in atomic- resolution dynamic-force microscopy, Phys. Rev. B 56, 16010 (1997). https://doi.org/10.1103/ physrevb.56.16010

    work page 1997

  6. [6]

    Mandel, E

    L. Mandel, E. Wolf, Optical coherence and quantum optics (Cambridge University Press, 1995), chapter 2: Stochastic Processes

    work page 1995

  7. [7]

    Henkel, Quantum borderlines: Fluctuation en- ergies in ultracold Bose gases, Europhys

    C. Henkel, Quantum borderlines: Fluctuation en- ergies in ultracold Bose gases, Europhys. Lett. 150, 56001 (2025a). https://doi.org/10.1209/ 0295-5075/add760

    work page

  8. [8]

    Al Khawaja, J.O

    U. Al Khawaja, J.O. Andersen, N.P. Proukakis, H.T.C. Stoof, Low dimensional Bose gases, Phys. Rev. A 66, 013615 (2002), erratum: Phys. Rev. A 66 (2002) 059902(E). https://doi.org/10.1103/ PhysRevA.66.013615

    work page 2002

  9. [9]

    C. Mora, Y . Castin, Extension of Bogoliubov theory to quasicondensates, Phys. Rev. A 67, 053615 (2003). https://doi.org/10.1103/PhysRevA.67. 053615

    work page doi:10.1103/physreva.67 2003

  10. [10]

    Sauter, W

    T. Sauter, W. Neuhauser, R. Blatt, P.E. Toschek, Observation of quantum jumps, Phys. Rev. Lett. 57, 1696 (1986). https: //doi.org/10.1103/PhysRevLett.57.1696

    work page doi:10.1103/physrevlett.57.1696 1986

  11. [11]

    Stenholm, M

    S. Stenholm, M. Wilkens, Jumps in quantum theory, Contemp. Phys. 38, 257 (1997). https://doi.org/ 10.1080/001075197182342

    work page doi:10.1080/001075197182342 1997

  12. [12]

    Well-tempered Clavier I

    N.D. Mermin, Physics: QBism puts the scientist back into science, Nature 507, 421 (2014). https: //doi.org/10.1038/507421a e Serial Invention π / J. S. Bach / A. Schönberg / M. Mussorgsky 2 /brackettips.up /brackettips.down /rests.3/clefs.G /accidentals.sharp/accidentals.sharp /noteheads.s2/clefs.G 8 /accidentals.flat 2 /noteheads.s1 = 42 /noteheads.s2 2 ...

    work page doi:10.1038/507421a 2014