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REVIEW 5 major objections 4 minor 5 references

Model and theory of dark photons in the visible light range

T0 review · 5 major / 4 minor · reviewed 2026-08-11 · deepseek-v4-flash

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Pith's one-line read The paper argues that every photon is a dark photon plus a light-wave, so that when light is switched off or absorbed, the dark photon survives and supplies dark matter and dark energy.

desk verdict A photon model whose own thought experiment doubles the energy budget; desk-reject. read the letter →

arxiv 2412.10661 v1 pith:TI5CZTYD submitted 2024-12-14 physics.optics

Weinan Wang This is my paper · ORCID
classification physics.optics
keywords darkphotonvisiblelightwave-particledualitydouble-slitexperimentmatterenergystellarredshiftnegativetime
topics Dark EnergyDark Matter
open problems Dark MatterDark Energy
verification ladder T0 review T1 audit T2 compute T3 formal

The pith

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

The reading

The paper argues that a photon is not a single entity but a composite of a massless light-wave and a dark photon, and that when a light source is turned off or light is absorbed, the photon sheds its wave and survives as a dark photon. The dark photon is claimed to be a form of dark matter carrying the original photon's momentum and kinetic energy, and therefore a form of dark energy. The evidence offered is a thought experiment inside a perfectly non-absorbing sealed box: after the lamp is switched off, conservation of mass and energy supposedly forces every photon to convert into a dark photon. The paper also uses the model to redescribe wave-particle duality, Young's double-slit experiment, stellar redshift, and the reported negative transit time of photons through cold atoms. A sympathetic reader would care because the paper offers a single particle-like mechanism for several long-standing puzzles, at the cost of an idealization—walls that absorb no light—that may be doing much of the work.

What carries the argument

The central object is the decomposition identity $\gamma \to \gamma_D + L$, photon equals dark photon plus light-wave. The light-wave has energy $E_L = h f$ but no mass; the dark photon inherits the photon's momentum, $P_D = P_\gamma = m c$, and kinetic energy, $E_{kD} = E_{k\gamma}$. This identity carries the argument because it lets the paper split the photon's observable wave behavior (attributed to the light-wave) from its unobservable particle remainder (the dark photon), so that any disappearance of light can be reinterpreted as survival of a dark-photon mass and energy carrier. The thought experiment's box is the second mechanical element: its perfectly non-absorbing walls remove the usual fate of photons, absorption as heat, and leave conversion into dark photons as the only conservation-compatible option.

What would settle it

Measure the total energy released when single photons are absorbed in a sealed, evacuated cavity with non-absorbing walls. Standard quantum optics predicts exactly $h f$ of heat or re-emission per photon; the model predicts that a dark photon with kinetic energy equal to the original photon's kinetic energy survives as an additional, undetectable carrier. Finding no missing energy channel beyond ordinary absorption would rule out the conversion identity; finding such a channel would be direct evidence for it.

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Extended reading notes

Core claim

The central claim is the decomposition $\gamma \to \gamma_D + L$: every photon consists of a dark photon plus an attached light-wave. The dark photon is a photon stripped of its wave; it continues at speed $c$, has the same dynamic mass, momentum, and kinetic energy as the original photon, and is unobservable except through its gravitational effects. Turning off a source, or absorption of light, triggers the decomposition, so dark photons accumulate in the universe and act as dark matter and dark energy. The paper asserts that this decomposition is confirmed by a thought experiment with a closed box whose walls absorb no light, and that it yields explanations of wave-particle duality, double-slit interference, stellar redshift, and negative time.

Load-bearing premise

The argument rests on the premise that the box's inner walls absorb no light whatsoever, leaving conversion into dark photons as the only way to account for the photons after the lamp is turned off; if any absorption occurs, ordinary heat explains the disappearance.

Editorial extensions

If this is right

  • Dark photons would be everywhere: every absorbed or extinguished photon leaves a dark photon, so the dark sector would be continually replenished by starlight and ordinary lighting.
  • Wave-particle duality would be a two-component effect: interference comes from the light-wave, while localization, momentum, and energy transfer come from the dark photon.
  • The double-slit observer effect would be dynamical: measurement light acts on each photon, strips its light-wave, and thereby removes the interference pattern.
  • Stellar redshift would not require cosmic expansion or Doppler motion; it would be selective absorption of short-wavelength light-waves by interstellar dust, with analogous explanations for Raman scattering and the Compton effect.
  • The negative time reported for photons crossing a cold-atom cloud would follow from delayed disappearance of light-waves, with dark photons exciting atoms before the waves are gone.

Reading between the lines

Editorial extensions of the paper, not claims the author makes directly.

  • If dark photons cannot recombine with light-waves, every absorption event must double-count energy: ordinary heat receives $h f$ while a dark photon carries away an equal kinetic energy, so a calorimetric accounting of single-photon absorption could expose a missing energy channel or an over-count.
  • The model predicts a measurable time lead between the arrival of photon momentum and the onset of wave-like interference in single-photon experiments; observing such a lead would support the light-wave delayed-disappearance mechanism, and its absence would undercut it.
  • The same decomposition logic applied to electrons or gravitons, as the paper hints in its conclusion, would imply dark analogues of every force carrier and make the unseen sector far richer than the photon-only case developed here.
  • Because dark photons accumulate without ever converting back, the model implies a cosmological dark-matter energy density tied to the total history of starlight, a relation that can be checked against existing bounds on dark matter abundance.
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Editorial analysis

A structured set of objections, weighed in public.

Desk editor's note, referee report, and a circularity audit.

Referee Report

5 major / 4 minor

Summary. The paper proposes a model in which a photon is composed of a 'dark photon' and a 'light-wave' (Eq. 1: gamma -> gamma_D + L). It then claims, on the basis of a thought experiment involving a box with non-absorbing walls, that turning off a lamp converts photons into dark photons, thereby confirming the existence of dark photons, dark matter, and dark energy. The theory is also said to explain wave-particle duality, Young's double-slit experiment, stellar redshift, and negative time in a cold-atom experiment. No quantitative predictions or experimental connections are provided.

Significance. If the claims were established, they would overturn basic features of quantum optics and cosmology. However, the paper offers no measurable consequences, no coupling constants, no mass scales, and no link to any observable quantity. The thought experiment is purely verbal and contains no detection procedure. The model is internally inconsistent in its energy accounting. The manuscript therefore does not constitute a viable scientific contribution to physics.ops; its significance as a research result is nil, although it may be of interest as an example of a nonstandard, unfalsifiable proposal.

major comments (5)
  1. [The dark photon model, Eqs. (3)-(9)] The energy accounting is internally contradictory. Equation (3) assigns the light-wave energy E_L = hf, while Eqs. (7)-(9) assign the dark photon a kinetic energy E_kD = E_kγ = Pγ C = hf. The thought experiment in the following section states that 'the kinetic energy of photons is transformed into the kinetic energy of dark photons, while the lost light-waves from the photons is converted into heat.' This yields a final energy per original photon of E_kD + E_L = 2hf, violating energy conservation. This is not a physical idealization issue; it is a direct contradiction between the model's equations and its own conversion mechanism. To restore consistency, one must abandon either the light-wave energy in Eq. (3) or the equality of kinetic energies in Eqs. (7)-(9), but the paper's explanations of radiation energy and dark energy require both.
  2. [Evidence for the existence of dark photon, 1. A thought experiment] The thought experiment contains no measurement and is circular. The premise that the inner wall absorbs no light is physically unrealizable, and even granting it, the conclusion that photons transform into dark photons when the lamp is turned off is exactly the postulate of Eq. (1). The argument invokes the conservation of mass to demand that matter cannot disappear, but the model offers no empirical evidence that the resulting 'dark photons' exist. A thought experiment can illustrate a model, but it cannot confirm the existence of a new particle without either a detection procedure or a falsifiable prediction that is checked against data. The paper acknowledges that the dark photon detector is 'only a conceptual device,' so no evidence is actually supplied.
  3. [Evidence for the existence of dark photon, 2. The experiment of photons passing through a cloud of cold atoms] The explanation of 'negative time' misrepresents the cited experiment. Reference 15 reports that atoms can become excited before the photon has finished passing through the cloud, but this is a measured timing effect within standard quantum optics, not evidence that photons spend negative time as physical objects. The paper invokes 'light-waves delay disappearance' to assert that dark photons enter the medium first, but no mechanism, timescale, or quantitative relation is given. The range 'picoseconds to nanoseconds' appears without any derivation or comparison to the cited experiment's parameters. This section therefore does not provide independent support for dark photons.
  4. [Explaining certain optical phenomena, 3. Interpretation of the redshift in stellar spectra] The proposed redshift mechanism is not quantitative and is indistinguishable from standard interstellar extinction. The paper claims that shorter-wavelength photons are more likely to be absorbed by cosmic dust and lose their light-waves, resulting in a spectral shift. However, absorption by dust primarily changes the observed spectral energy distribution, and the claimed 'redshift' requires a specific frequency-dependent conversion that is not derived. No equation, cross-section, or comparison to astronomical data is provided, so the model makes no testable prediction. The appeal to 'dark photons' here is entirely ad hoc.
  5. [The theory of dark photons and Conclusions 4-5] The central claims that dark photons constitute dark matter and dark energy are unsupported because the model specifies no properties that could be tested. The paper states that dark photons travel at the speed of light, have dynamic mass, and cannot absorb light-waves, but it does not provide a mass spectrum, an abundance, an interaction cross-section with standard matter, or any coupling that could be searched for in existing dark-photon experiments (which concern massive U(1) gauge bosons, not the entity defined here). The conclusion that dark photons accumulate and cause universal expansion is a bare assertion with no dynamical equations. The model is therefore unfalsifiable in its present form.
minor comments (4)
  1. [The dark photon model, Eq. (2)]
  2. [Throughout]
  3. [Introduction and References]
  4. [The theory of dark photons]

Circularity Check

3 steps flagged · score 10.0 of 10

Central evidence for dark photons is the model's own Eq. (1): the thought experiment assumes the photon-to-dark-photon conversion it is supposed to prove, so the existence claim is definitional, not empirical.

  1. self definitional [The dark photon model (Eqs. (1)-(2)); Evidence for the existence of dark photon, thought experiment (Fig. 2)]
    "Since the inner wall of the box does not absorb any light, the photons inside the box lose their light-waves and transform into dark photons after the lamp is turned off, indicating the presence of dark photons."

    The model defines the conversion in Eq. (1), '𝜸 → 𝜸𝑫 + 𝐿', and the Conclusion restates the definition: 'a dark photon is defined as a photon that has lost its light-waves.' The thought experiment's only new input is the non-absorbing inner wall, which merely creates a scenario in which the defining condition occurs. The conclusion that dark photons exist is therefore the model's own postulate read back as evidence. No independent detection is offered; the paper states that the dark photon detector 'is currently only a conceptual device.'

  2. self definitional [The theory of dark photons; Confirm the existence of dark matter and dark energy]
    "Dark photons, a type of dark matter, possess dynamic mass when they travel at the speed of light, resulting in kinetic energy. Therefore, they can be considered as a form of dark energy."

    The paper classifies its postulated dark photons as dark matter and dark energy purely by labeling, then later treats this labeling as a confirmed prediction: 'Therefore, the dark photon model predicts the existence of both dark matter and dark energy.' Since the existence of dark photons was already assumed in the model, the claimed confirmation of dark matter and dark energy inherits the same circularity rather than adding independent evidence.

1 more flagged steps
  1. renaming known result [Explaining certain optical phenomena, 1. Interpretation of the wave-particle duality]
    "The dark photon model suggests that light-waves are a type of wave carried by photons, which exhibit wave-like properties. Therefore, photons possess characteristics of waves. Dark photons refer to photons that have lost their light-wave and are responsible for the particle behavior of photons; thus, demonstrating the wave-particle duality of photons."

    The 'explanation' assigns the two observed aspects of light to two components introduced by the model: wave behavior is called the light-wave and particle behavior is called the dark photon. Because those components were defined for exactly this purpose, the account of wave-particle duality is a relabeling of the phenomenon rather than an independent derivation from the model. No quantitative or falsifiable consequence is derived from the model that would distinguish it from a mere restatement of the known duality.

full rationale

The paper's central claim—that a thought experiment confirms the existence of dark photons—reduces to the model's defining equation. Eq. (1) postulates that a photon consists of a dark photon plus a light-wave, and the text defines a dark photon as a photon that has lost its light-wave. The thought experiment then stipulates a box whose walls do not absorb light, asserts that photons therefore lose their light-waves and become dark photons when the lamp is off, and presents that assertion as empirical confirmation. This is a textbook self-definitional circle: the evidence presupposes the very transformation whose product is to be proven. The dark matter and dark energy conclusions are likewise obtained by reclassifying the postulated dark photons as dark matter and dark energy, not by independent observation. The optical 'explanations' are re-descriptions of known phenomena in the model's vocabulary rather than derivations with testable consequences. Separately, and beyond circularity, the energy-conservation claim is internally inconsistent with the model's own equations: Eq. (3) assigns the light-wave energy E_L = hf, while Eqs. (7)-(9) assign the dark photon the original photon's kinetic energy E_kD = PγC, which for a photon is hf, so the conversion would produce 2hf per original photon. This further undermines the thought experiment's evidential value. Because the existence claim is equivalent to the input definition, the circularity score is 10.

Assumptions & free parameters 1 free parameters · 5 assumptions · 3 invented entities

The central claim rests on a definitional postulate (photon = dark photon + light-wave), a physically unrealizable boundary condition in the thought experiment, a misapplication of mass conservation to photons, and several ad hoc rules such as the irreversibility of dark photons and the delayed light-wave disappearance. No external benchmarks or independent data are used.

free parameters (1)
  • Light-wave delay disappearance time = 1 ps to 1 ns (order-of-magnitude range)
    The paper posits a delayed disappearance of light-waves over picoseconds to nanoseconds without a mechanism or measurement; it is used to explain negative time.
assumptions (5)
  • ad hoc to paper A photon is composed of a dark photon and a light-wave (Eq. 1: gamma -> gamma_D + L).
    This is the defining postulate of the model and is not derived from prior theory. It is the base of all later claims.
  • ad hoc to paper The inner wall of the dark box does not absorb any light, so photons cannot vanish and must transform into dark photons.
    Stated in the thought experiment; it is an idealization that is physically impossible for a real material and does the work of forcing conversion.
  • domain assumption The Law of Conservation of Mass applies to photons (and to their transform into dark photons).
    The paper invokes mass conservation for particles that are massless. In standard physics mass is not conserved for photons; energy is. This assumption is needed to make the thought experiment confirm dark photons.
  • ad hoc to paper Dark photons cannot absorb light-waves and convert back into photons.
    Stated in the theory section; it leads to the monotonic growth of dark matter and dark energy but has no independent evidence.
  • domain assumption Short-wavelength photons are preferentially absorbed by interstellar dust, causing stellar redshift.
    The paper invokes a real effect, interstellar extinction, but it cannot produce the cosmological redshift-distance relation; the assumption is transposed from dust extinction to spectral redshift without calculation.
invented entities (3)
  • Dark photon (Wang model)
    purpose: Explains particle nature of light and acts as dark matter and dark energy; produced when photons lose light-waves.
    No detector exists, no excess or signal is predicted; the only evidence is the thought experiment that assumes the transformation.
  • Light-wave (as a physical component of photons)
    purpose: Carries radiation energy and provides wave nature of light; has no mass.
    It is never separately measured; energy is attributed to it only by definition, and it disappears into heat after the dark photon remains.
  • Light-wave delay disappearance
    purpose: Explains negative time by allowing dark photons to enter a medium before light-waves vanish.
    No mechanism or measurement supports this; it is a time interval hand-assigned to absorbing materials.

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Cite this review

Pith. "Pith review of Model and theory of dark photons in the visible light range." pith.science (2026). https://pith.science/paper/TI5CZTYD

@misc{pith2026241210661,
  author       = {Pith},
  title        = {Pith review of: Model and theory of dark photons in the visible light range},
  year         = {2026},
  howpublished = {\url{https://pith.science/paper/TI5CZTYD}},
  note         = {Machine review of arXiv:2412.10661}
}
read the original abstract

This paper explores the possibility of the existence of dark photons within the visible light range and provides evidence for their existence through a thought experiment. A new model of dark photons is established based on extensive theoretical research, forming a comprehensive theory of dark photons. This theory provides a reasonable explanation for certain perplexing optical phenomena, such as the wave-particle duality of light, Young's double-slit experiment, as well as phenomena like dark matter, dark energy, stellar spectral redshift, and negative time. Furthermore, this theory holds reference value for studying the properties of other fundamental particles and exploring quantum gravity.

Discussion (0). Continue with ORCID to comment.

Reference graph

Works this paper leans on

5 extracted references · 3 canonical work pages

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    Dark Photons from the Center of the Earth Smoking -Gun Signals of Dark Matter

    Jonathan L.Feng, Jordan Smolinsky,Philip Tanedo. Dark Photons from the Center of the Earth Smoking -Gun Signals of Dark Matter. Physical review D, Covering particles,fields,gravitation,and cosmology. 93(1),2016

    work page 2016

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    Dark Sunshine Detecting Dark Matter through Dark Photons from the Sun

    Jonathan L.Feng, Jordan Smolinsky,Philip Tanedo. Dark Sunshine Detecting Dark Matter through Dark Photons from the Sun. arXiv: 1602.01465v1[hep-ph] 3 Feb,2016. 4.Samuel D. McDermott and Samuel J. Witte . Cosmological evolution of light dark photon dark matter. Physical review D,101, 063030 ,2020. 5.A. E. Nelson and J. Scholtz, Dark Light, Dark Matter and ...

    arXiv 2016

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    LHC Sees No Dark Photons

    Christop er Crockett. LHC Sees No Dark Photons. Physics 11, s19, 2018. 14.Mauro Raggi , Venelin Kozhuharov and P. Valente. The PADME experiment at LNF. arXiv: 1501.01867v1[hep-ex] 8 Jan,2015. 15.Daniela Angulo,Kyle Thompson,Vida -Michelle Nixon, et al.experimental evidence that a photon can spend negative amount of time in an atom cloud . arXiv: 2409.0368...

    arXiv 2018

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    Quantum Interference without Wave-Particle Duality

    Román Castañeda , Giorgio Matteucci, et al. Quantum Interference without Wave-Particle Duality. Journal of Modern Physics, 7, 375-389.2016. 21.Shuang-ren Zhao, Photon Can Be Described as the Normalized Mutual Energy Flow. Journal of Modern Physics Vol.11, No.5, May, 2020. 22.Sarma N. Gullapalli. Wave-Particle Duality:Particle Always Remains Particle and I...

    work page 2016

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    Quantitative Wave-Particle Duality

    Moshe Wallace Callen, Shaul Sorek.Explaining the Double-Slit Experiment. Journal of Modern Physics, 2, 30-35, 2011. 24.Lei Zhang, Thomas Koschny, C.M. Soukoulis . Young’s double -slit experiment in photonic crystals. Physica B 407,4048–4050, 2012. 25.Tabish Qureshi. Understanding Quantitative Wave -Particle Duality. arXiv: 1501.02195v1[quant-ph] 8 Jan,2015

    work page Pith review arXiv 2011

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