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Layered-light interpretation of galactic rotation

This project proposes an optical–structural hypothesis for the flat rotation curves of spiral galaxies.
Instead of invoking invisible mass,

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Optical–structural hypothesis: flat galactic rotation curves may partly come from blended light and scattering, not only dark matter.

Summary

This project proposes an optical–structural hypothesis about the rotation curves of spiral galaxies. Rather than postulating the existence of invisible mass from the outset, it is suggested that the flatness of the rotation curves may, at least in part, result from the blending of light coming from different layers of the galaxy, from the scattering of central galactic light by interstellar dust and gas, and from spectral averaging along a given line of sight. In this framework, the Doppler signature of the faster inner layers can appear in the spectrum of the outer regions and make the true orbital speed of edge stars appear artificially higher.

1) Introduction to the dark matter problem and the measurement of galactic rotation

One of the main observational arguments for the existence of “dark matter” comes from galaxy rotation curves. These curves are derived from the light of the galaxy, not from a direct tracking of the motion of individual stars.

1.1. How do we measure the rotation of a galaxy from its light?

When a massive object such as a galaxy is rotating, one side of the galactic disk is moving towards us, while the opposite side is moving away from us.

Using the Doppler effect applied to light:

  • the light coming from the part of the galaxy that is approaching us is slightly shifted toward shorter wavelengths → it appears bluer (blueshift);

  • the light coming from the part that is receding from us is slightly shifted toward longer wavelengths → it appears redder (redshift).

In the spectrum of the light emitted by the gas and stars in the galaxy, the well-known spectral lines (for example, hydrogen lines) are therefore shifted slightly toward the blue on the approaching side and slightly toward the red on the receding side.

By measuring the amplitude of this Doppler shift:

  • we determine the direction of rotation of the galaxy,

  • and from the value of the shift, we compute the linear rotation speed of gas and stars at different distances from the galactic centre.

In this way, for each radial distance from the centre of the galaxy, one obtains a rotation speed v(r), and a diagram called the galactic rotation curve can be plotted.

1.2. Theoretical expectation versus observation

In a “normal” gravitational disk where the mass is mainly concentrated in the centre (as in the Solar System, where the dominant mass is the Sun), we expect the orbital speed to decrease with distance from the centre as

v(r) ∝ 1 / sqrt(r).

However, for many spiral galaxies, the rotation curves derived from Doppler observations show that

v(r) ≈ constant.

That is, stars and gas in the outer regions rotate at almost the same speed as in the intermediate regions, while the visible mass (stars and gas in the disk) is not sufficient to generate such high velocities.

To explain this discrepancy, the concept of dark matter was introduced: an invisible mass distributed in the galactic halo, providing the additional gravity required for these large rotation speeds.

Nevertheless, up to now no dark-matter particle has been directly detected, and this has motivated a re-examination of the observation process and of the interpretation of rotation curves with greater care and precision.

2) Nature of optical observation and its limitations

The rotation speed of galaxies is not measured from the actual motion of individual stars; we never directly see the position or displacement of stars in a distant galaxy.

What we observe is only light. And all inferences — speed, disk structure, and even the existence of dark matter — are based on spectral analysis of that light.

Yet, on its way to the telescope, light:

  • travels across extremely large distances,

  • passes through several layers of gas and dust,

  • undergoes multiple events of scattering, absorption, reflection and path change,

  • and finally ends up being mixed, within a single pixel of the telescope detector, with light...

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En.pdf

The Layered-light interpretation of galactic rotation curves

Adobe Portable Document Format - 4.06 MB - 11/25/2025 at 15:19

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Fr.pdf

French

Adobe Portable Document Format - 4.06 MB - 11/25/2025 at 15:19

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Fa.pdf

Faris

Adobe Portable Document Format - 4.17 MB - 11/25/2025 at 15:24

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  • First feedback: H I / radio observations and next steps

    Younes HASSANABADI11/26/2025 at 22:03 0 comments

    # First feedback: H I / radio observations and next steps

    This log records the first serious feedback I received on the **Layered-Light Interpretation (LLI)** hypothesis, and how it affects the scope of the idea.

    Shortly after publishing the project, [Namik Yer](https://hackaday.io/hacker/17351-namik-yer) raised a very important point:

    > What about radio / H I observations?  
    > Many galaxy rotation curves are derived from the 21 cm line of neutral hydrogen, not only from optical starlight.  
    > In the outer H I regions there is very little dust, and radio waves are not affected by scattering in the same way as visible light.

    This is a **critical challenge** for any explanation that is purely optical.

    ---

    ## 1. What I currently think about H I and LLI

    At the moment, my view is:

    - In the **dusty, optically bright inner and intermediate disk**, the LLI mechanism (mixing of inner and outer light along the line of sight) could bias the inferred velocities.  
    - In the **outer H I regions**, where dust is minimal and the 21 cm line is used, the observed flatness is much more likely to be genuinely dynamical (and there dark matter or modified gravity may still be needed).

    So LLI is **not** intended as a complete replacement for dark matter in the radio / H I regime.  
    It is better understood as an **optical / structural correction** for the stellar, dusty part of the rotation curve:

    - shrinking or reshaping part of the anomaly,  
    - rather than eliminating the need for extra gravity everywhere.

    A serious test in the future would be to compare **optical** and **H I** rotation curves for the same galaxies and see in which radial ranges they diverge or agree.

    ---

    ## 2. Towards a “toy model” (first quantitative step)

    The feedback also makes it clear that LLI must eventually move from a purely conceptual framework to at least a **simple quantitative model**.

    My first goal is to build a *toy model*:

    - Use a simplified, two-layer galaxy:
      - inner, bright, fast layer with speed `v_in`
      - outer, faint, slower layer with true speed `v_out_real(r) ∝ 1 / sqrt(r)`
    - Assign light intensities:
      - `I_out(r)` decreasing with radius (outer stars)
      - `I_in->out(r)` representing a small “leakage” of inner light into the outer line of sight
    - Compute the apparent velocity:
      - `v_eff(r) = (I_out * v_out_real + I_in->out * v_in) / (I_out + I_in->out)`

    By plotting both `v_out_real(r)` and `v_eff(r)` for different choices of `I_in->out / I_out`, I can check:

    - how strong the inner-light contamination must be to noticeably flatten the apparent rotation curve,  
    - and whether this effect is potentially significant or only a tiny correction.

    Even such a simple model (implemented in Python or even in a spreadsheet) would already help clarify how “strong” LLI would have to be in order to matter.

    ---

    ## 3. Next steps

    From this first feedback, my updated roadmap is:

    1. **Clarify the scope** of LLI in the write-up:  
       - explicitly separate the dusty, optical inner disk from the outer H I regime;  
       - state clearly that LLI is a methodological / optical correction, not a full substitute for dark matter.

    2. **Build a first toy model**:
       - two or three layers (bulge + disk),
       - simple intensity and velocity profiles,
       - compute and plot `v_eff(r)` vs `v_out_real(r)`.

    3. Later, if possible:
       - compare optical vs H I rotation curves in the same galaxies,  
       - and explore whether LLI can plausibly contribute to part of the observed flatness in the inner / intermediate regions.

    Many thanks again to Namik for raising the H I / radio question and for pointing in the direction of quantitative tests. This is exactly the kind of critical input that helps transform the hypothesis into something that can be checked, constrained,...

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  • First publication of the layered-light interpretation hypothesis

    Younes HASSANABADI11/25/2025 at 15:36 0 comments

    This log marks the first public release of my **layered-light interpretation hypothesis** for galactic rotation curves.

    In standard cosmology, flat rotation curves are usually interpreted as strong evidence for dark matter. In this project, I explore a different angle: the idea that part of the “anomaly” might come from the way light is blended and scattered inside a spiral galaxy, before it reaches our telescopes.

    The core idea is simple to state:

    > The light recorded at the visible edge of a galaxy is not purely the light of local outer stars, but a mixture of several structural layers.  
    > If bright, fast inner layers contribute enough scattered light along the same line of sight, their Doppler signature can contaminate the outer spectra and artificially increase the *apparent* rotation speed at large radii.

    In the **Details** section I present the full argument:  
    – how rotation curves are usually measured,  
    – why multilayer structure and beam smearing matter,  
    – the role of dust and H I gas in building diffuse galactic light,  
    – and a simple symbolic formulation for the effect on the inferred velocity.

    ### Language versions

    The full text of the hypothesis is available in three languages:

    - **English** – main version, in the *Details* section and as a `.docx` file  
    - **French (français)** – see the `.docx` file under the *Files* tab  
    - **Persian (فارسی)** – also available as a `.docx` file under *Files*

    Feedback is very welcome — especially on:

    - physical assumptions that might be missing or oversimplified,  
    - possible observational tests or simulations that could confirm or falsify this idea,  
    - related work I may have missed in the literature.

    Thanks for reading, and feel free to comment or fork the idea if you want to push it further.

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NAMIK YER wrote 11/26/2025 at 19:44 point

interesting hypothesis..


what about RadioWave especially H band observations? Does it give the same measurement result?

  Are you sure? yes | no

Younes HASSANABADI wrote 11/26/2025 at 21:11 point

Hi Namik,

Thank you very much for taking the time to read the hypothesis so carefully and for writing such a detailed and constructive comment. This is exactly the kind of critical feedback I was hoping for.

You are absolutely right that H I 21 cm observations are a major challenge for any purely optical explanation. In my current write-up I have mostly focused on the visible / stellar-light side of the problem, where dust and layer blending are clearly important. As you point out, in the outer H I regions the dust content is much lower and the 21 cm line is much less sensitive to the kind of scattering that lies at the heart of LLI.

For that reason, I do **not** expect LLI to remove the need for dark matter altogether, especially in the very outer H I halo. My intuition is closer to your option (b): LLI could mainly bias the inferred velocities in the inner and intermediate, dust-rich parts of the disk, reducing or reshaping the anomaly there, while the outermost H I flattening may still have a genuinely gravitational origin. In other words, LLI would shrink or re-interpret part of the discrepancy, not necessarily eliminate it.

Your second point about quantitative radiative transfer is exactly the next step that would be needed to take this beyond a conceptual framework. The whole hypothesis really lives in the ratio `I_in->out / I_out`, and I completely agree that this must be modelled explicitly:

- multi-component galaxy (Thin Disk, Thick Disk, Bulge),
- different `(v_in, v_out,real)` and luminosity contrasts,
- realistic dust and gas distributions,
- and then computing the apparent `v_eff(r)` that a telescope would actually infer from the mixed spectrum.

I currently don’t have a full RT code pipeline set up, but I’m very interested in building at least a toy model along these lines – even something simplified would already clarify how strong the effect has to be in order to matter.

I also really like your third point about observational tests (dust content, inclination, central surface brightness). These are exactly the kinds of correlations that could tell us whether LLI is just a curiosity or a real systematic effect in some subset of galaxies. I will add these directions more explicitly to the “research outlook” section of the write-up.

In short: I fully agree that LLI must be confronted with H I data and with quantitative radiative-transfer modelling before it can be taken seriously as more than a methodological caution. My goal with this first version was to put the conceptual idea on the table and then gradually move towards the kind of tests you outline.

Thank you again for this very helpful roadmap. If you have references to specific H I rotation-curve datasets or RT tools you think would be a good starting point, I would be very happy to look at them.

  Are you sure? yes | no

NAMIK YER wrote 12/03/2025 at 07:55 point

I am totally amateur about astrophysics.. 

but I like it and human brain has a lot of neuron plasticity.. so any time we can change our interest to another field.. actually "علم" is a dot but we multiplied it.. "علي ابن أبي طالب"

Thanks again and greets bro

  Are you sure? yes | no

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