Well it is definitely spherical in the middle, the rest of it is kind of like a big disk as visualised in the Sylvester McCoy Doctor Who credits because of something called ‘conservation of angular motion’ which causes visible matter and energy to spin out in to a disk like shape around the outside. However, the shape of the galaxy is open to debate. Energetically, I still believe that it is *definitely* spheroid - the *mass* of the galaxy is almost certainly spherical at least, it just has massive swirling ‘arms’ as mentioned above. The galaxy is mainly made up of ‘dark matter’, but we can not see this dark matter - perhaps this ‘substance(s?)’ completes the sphere and we only see the ‘shiny things’ in the ‘disk’. This galactic disk or ‘swirl’ is still massive and the original point of how the different axis would affect Voyager’s journey is still relevant. It would not have been a linear journey nor a two dimensional path on a singular plane that Janeway and her crew would have taken with the USS Voyager traveling both up, down and side to side in varying degrees of 360 angles. They also would have interwoven between different planets in order to find resources, some of these locations may have been uncharted and well ‘off the beaten path’ thus unintentionally extending the journey.I Galaxy may be intensely deep, but it's definitely not spherical, especially if you're talking about the massive distances being discussed here.
In the far future, it is also possible that our galaxy will *definitely* become a sphere or at least elliptical even if you do not think so now, there are two possibilities for this. Number one is that the Milky Way could collide with another galaxy and merge in to a ‘blob’. Number two, our galaxy has yet to spin out truly and expand in to a sphere because it is still so relatively ‘young’ - this is of course based on the theory that our galaxy is in fact expanding. Alternatively, it could all be being ‘pulled’ back in to the galactic core via an event horizon as it collapses back in on itself in to a monstrous and hellish black hole - I do not think that would happen though as the effects of gravity would deminish the further out the galaxy expands so it should continue expanding indefinitely in to the infinite universe. If it did collapse in on to itself though then it might even spew back out again somewhere on ‘the other side’ like a big hour glass tipping from one side to the other. It should be ok though, because William Shatner told us what is in the middle of the Galaxy in Star Trek V: The Final Frontier.

If I am wrong about the galaxy being spherical, then I have this to blame:

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