2. General Description of the Two Overlapping Galaxies LEDA 2073461 and SDSS J115331.86
Figure 1A is the original color image of the two overlapping galaxies LEDA 2073461 and SDSS J115331.86. The galaxy pair LEDA 2073461 and SDSS J115331.86 forms an exceptional overlapping system in which LEDA 2073461 is a face-on spiral galaxy in the foreground, while SDSS J115331.86 lies directly behind it along the same line of sight. This configuration provides a rare and powerful opportunity to study the dust, gas, and mass distribution within the foreground disk using the background galaxy as a natural illumination source.
LEDA 2073461, the foreground galaxy, presents a nearly face-on orientation, allowing an unobstructed view of its spiral structure and enabling extinction measurements across its entire disk. As the light from the background galaxy passes through LEDA 2073461, it is selectively absorbed and scattered by dust and interstellar material. Because the foreground disk is viewed face-on, the resulting attenuation pattern directly traces the radial and azimuthal variations in dust content and mass surface density, without the geometric complications introduced by high inclination.
SDSS J115331.86, the background galaxy, is a more distant spiral whose extended light distribution serves as an ideal “backlight.” Its surface brightness provides a stable reference against which the extinction caused by LEDA 2073461 can be measured with high spatial precision. The absence of tidal distortions or morphological disturbances in either galaxy indicates that the pair is non-interacting, confirming that the overlap is a chance alignment rather than a merger or close encounter.
This system is particularly valuable for probing the mass density distribution of the foreground galaxy. By mapping the spatially resolved attenuation of SDSS J115331.86’s light, researchers can derive the optical depth across the face of LEDA 2073461 and infer the distribution of dust and baryonic matter throughout its disk. Because the galaxy is face-on, these measurements extend cleanly into the outer regions where traditional rotation-curve analyses become uncertain. The resulting extinction map offers insight into the structure of the interstellar medium, the radial mass profile, and potentially the physical processes that shape and maintain the spiral arms of LEDA 2073461.
3. The Foreground Galaxy LEDA 2073461
This galaxy shows a well-constructed grand design spiral pattern [
9,
10] and can be perfectly simulated by the galactic spiral equation from ROTASE model [
11] as shown in
Figure 1B. The parameter ρ follows the equation:
However, the galaxy shows two very interesting phenomena illuminated by the “light box” from behind background galaxy SDSS J115331.86, shown in
Figure 2.
Figure 2A, when compared with the original overlapping-galaxy image in
Figure 1A, reveals a striking pair of dark lanes (marked by the blue and red lines) that flank both sides of a spiral arm in the foreground galaxy LEDA 2073461. These features represent dust lanes are silhouetted against the bright background light of SDSS J115331.86. Notably, the inner dust lane (red) continues inward along the spiral arm toward the central region, as indicated by the green marking. The spiral arm itself narrows progressively and forms a distinct bottleneck at the lower end of the paired dust lanes.
LEDA 2073461 is a nearly textbook example of a grand-design spiral galaxy, the type most often cited in support of Density Wave Theory (DWT) [
12]. According to DWT, dust lanes arise where interstellar material encounters the spiral density wave and is compressed. For material entering the arm from inside the corotation radius, the dust lane should appear along the inner edge of the spiral arm. Conversely, for material approaching from the leading side of the arm, the dust lane should lie along the outer edge. In either case, DWT predicts a single dust lane on one side of the arm, determined by the direction of gas inflow relative to the density wave.
However, the observations here show dust lanes on both sides of the same spiral arm—an arrangement that is inconsistent with the predictions of Density Wave Theory. Furthermore, the dust feature highlighted by the green line lies within the middle of the spiral arm, rather than along either the inner or outer edge, which further contradicts the expected morphology of dust lanes in a density-wave-driven spiral.
If a corotation circle exists in LEDA 2073461, Density Wave Theory also predicts a dip in arm luminosity near the corotation radius due to the suppression of new star formation [
13]. One might interpret the bottleneck region as such a luminosity dip. However, if this interpretation were correct, the opposite spiral arm—labeled C and located at a comparable galactocentric distance—should exhibit a similar bottleneck or luminosity depression. No such feature is observed, further challenging the applicability of the Density Wave Theory to this system.
Chugunov et al. studied NGC 4535 and identified two pairs of luminosity dips along its spiral arms [
14]. Although each pair occurs at approximately the same galactocentric radius, none of the dips coincide with the expected location of the corotation circle. A plausible explanation is that these features arise from an inhomogeneous distribution of galactic material within the disk. An instructive analogy is provided by the ring system of Saturn, shown in
Figure 3. As of today, seven major rings have been identified, and their material distribution is highly non-uniform: the rings are separated by pronounced gaps such as the Cassini Division and Encke Division shown in the
Figure 3, and even within a single ring the density and chemical composition vary significantly with radius.
By extension, it is entirely reasonable to expect that the distribution and chemical composition of interstellar material in a spiral galaxy may also be substantially inhomogeneous, especially given that a galaxy is vastly larger and more complex than Saturn’s ring system. Radial gaps and variations in chemical composition may exist within the disk, and even along a single radius the local density and composition can change markedly. Under this interpretation, the luminosity dips observed in NGC 4535 could naturally arise from such “gaps” and variations in chemical composition where the local supply of interstellar material is insufficient to sustain significant new star formation. Likewise, the bottleneck structure in the spiral arm of LEDA 2073461 may also be a consequence of inhomogeneities in the distribution of interstellar material.
Figure 2B highlights the obscuring effect of the foreground galaxy LEDA 2073461 on the background galaxy SDSS J115331.86. The green circle marks the assumed outer boundary of LEDA 2073461. The region outlined by the orange lines corresponds to a non-spiral-arm portion of the foreground disk that lies directly in front of the background galaxy. Strikingly, this region appears essentially transparent: the background galaxy is clearly visible with minimal attenuation. Such transparency indicates that the density of interstellar material in this part of the disk is very low. The inner region outlined by the purple lines is slightly less transparent with expected higher disk density of the foreground galaxy as closer to the galactic center, but the texture of background galaxy is still visible, again revealing the background galaxy with little obscuration and implying a low material density in this portion of the foreground disk.
Regarding obscuration, dust in the foreground galaxy absorbs background light and scatters it out of the line of sight, making dust the primary source of true extinction. Interstellar gas, by contrast, is essentially transparent at optical wavelengths and does not significantly attenuate the background galaxy. Although gas may still be present in substantial quantities, gas alone cannot sustain or reveal a classical density wave without the accompanying dust and stellar density contrast required by Density Wave Theory. In addition, stars in the foreground disk can illuminate nearby dust or have their light scattered by it, producing extra foreground emission that reduces the apparent contrast of the background galaxy and blurs the texture of the background galaxy. However, the extinction, the contrast-reducing and blurring effects are extremely weak in LEDA 2073461, indicating that the dust content—and more broadly the interstellar material and stellar densities—are unusually low. These conditions are inconsistent with the environment needed to support a classical density-wave pattern.
For comparison,
Figure 4 shows a color-composite image of the overlapping galaxies NGC 3314 with its configuration “exact” like the two overlapping galaxies LEDA 2073461 and SDSS J115331.86. The foreground, nearly face-on galaxy is designated NGC 3314a, while the highly inclined background galaxy is NGC 3314b. The overlapped portion of the background galaxy lying behind the foreground disk is heavily obscured, clearly indicating that the stellar and inter–spiral-arm material in NGC 3314a has a high density. The dust lanes of the foreground galaxy are sharply visible because they are silhouetted against the bright background light of NGC 3314b. This strong contrast supports the conclusion that, in our study system, the observed “transparency” is indeed the result of unusually low inter-arm material density when compared with NGC 3314.
Taken together, these observations suggest that the interstellar medium between the spiral arms of LEDA 2073461 is sparse and insufficient to support the continuous inflow and compression of material required by Density Wave Theory. In the density-wave framework, substantial amounts of gas must flow in and out of the spiral arms to sustain the wave pattern and trigger ongoing star formation. One could argue that the material density in the orange- and purple-outlined regions is high but unusually transparent to background light; however, such a scenario is highly unlikely. Instead, the evidence favors a central-emission-driven mechanism for spiral arm formation, such as that described by the ROTASE model [
11].
The empty or low-density interstellar material distribution between spiral arms in the galaxy LEDA 2073461 is not a rare phenomenon, can be found in other galaxies also. A similar conclusion arises from Hoag’s Object, shown in
Figure 5A. The most striking feature in this image is the presence of a second, more distant Hoag-like ring galaxy located near the one-o’clock position with enlarged inset. This background object is seen with almost no obscuration from the foreground Hoag’s Object, indicating that the interior between the ring and central core is essentially empty. Such an “empty space” is difficult to reconcile with Density Wave Theory, which requires substantial material throughout the disk to sustain wave propagation. However, the ring in Hoag’s Object is almost perfectly circular, the core sits precisely at the center, and both appear to lie in the same plane. It is difficult to reconcile such symmetry with a collision origin, which would more likely produce an irregular or distorted structure, or at least misalignment between the ring and the core like the Ring galaxy AM 0644-741. The ROTASE model provides a more plausible explanation for the formation of Hoag’s Object [
11].
Figure 5B and 5C present the well-known Tadpole Galaxy (UGC 10214), characterized by its peculiar head–tail morphology. In this system, two much smaller objects (labeled 1 and 2) appear to be external intruders merging with the Tadpole Galaxy. The most remarkable feature, however, is the presence of two well-defined spiral arms in the head region, traced by the yellow and red lines, those spiral arms look normal compared to other regular spiral arms of disc galaxies. Previous analysis by the author [
15] shows that these two spiral arms do not lie in the same plane: the yellow arm spirals upward with left-hand chirality, while the red arm spirals downward, also with left-hand chirality. This makes the Tadpole Galaxy the only known chiral galaxy to date. The interaction with the two intruders induces a wobbling rotation in the Tadpole Galaxy, producing off-plane, three-dimensional cone-like spiral structures. Importantly, there is no detectable galactic material between the yellow and red spiral arms.
Such off-plane, non-coplanar spiral arms cannot be produced by Density Wave Theory, which requires a coherent, planar disk for wave propagation. Instead, the morphology of the Tadpole Galaxy is more naturally explained by a central-emission mechanism such as the ROTASE model, combined with the dynamical influence of the two smaller merging intruders. This framework can account for the observed three-dimensional spiral geometry.