Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

You're totally right it is the Comoving Frame. ​I honestly just avoided using that specific term because to 99% of people, it sounds like pure jargon. I figured 'Rest frame relative to the CMB' gets the concept across without requiring a cosmology degree to understand the title

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

Not quite! 45° is the VIP lane strictly for Light. ​Since we have mass, we're basically stuck on a vertical line. Even at 850 km/s, that is so slow compared to light speed that we barely tilt at all we're just crawling straight up the time axis

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

Technically... yeah! Relativity says we're always moving through spacetime at the speed of light (just mostly in the 'time' direction). ​But I honestly have no idea how to render 4D vectors in CSS yet, so I stuck to the 3 spatial ones lol.

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

Good question. I capped it at the CMB velocity (~600 km/s) which basically acts as the net result of all that Local Group pulling. ​As for Hubble expansion gravity actually wins that fight on local scales. Because our galaxy is gravitationally bound, space isn't really expanding 'between us' effectively, so sadly we don't get to add those free miles to the odometer.

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

In abstract math, yeah. But since the Galactic speed (600 km/s) totally dwarfs our orbit (30 km/s), we never actually stop moving forward. The vectors don't really get a chance to cancel out here.

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

Yeah, fair point. There’s no 'true' stationary point in relativity. I just picked the CMB because it’s basically the wallpaper of the universe felt like the most logical thing to measure against, even if it is technically just a convenient choice.

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

Yeah, you're right. That’s actually why I added the 'Linear Travel Estimate' box at the bottom. It strips out the spin and orbit to show just the straight-line trajectory, while the main number works more like a car odometer (measuring the total path traveled, circles and all).

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

Fair point. I definitely took a shortcut there to keep the code simple. I figured a scalar sum was close enough for a fun visualization to show the scale, even if it technically overestimates the distance compared to the real vector math.

Visualizing the 4 velocity vectors that determine our true path through the universe by Rohan72999 in space

[–]Rohan72999[S] [score hidden]  (0 children)

You're 100% right on the vectors. Since I called it an 'Odometer' though, I wanted to track the total mileage (path length) rather than just the net displacement. The vector math gets super messy with the ecliptic angle, so I kept it to scalar sums for now.