Endy0816 Posted June 8, 2016 Posted June 8, 2016 Mainly trying to show the other superclusters increasingly separating from our own(blue line) and each other. Time is from the center outwards. Space is along any radius circle with the same center as the black circle. Got it looking like I had hoped. The Arcs are the main concern. Want to make them as accurate as possible. If there is a general formula anyone can provide that would be appreciated. Pleas note that this is just a picture and should not be taken too seriously or used for intercluster travel.
arc Posted June 8, 2016 Posted June 8, 2016 i believe you have created the greatest airline logo ever conceived. 2
Mordred Posted June 8, 2016 Posted June 8, 2016 (edited) The formulas involved has several steps as Hubbles constant is only constant at all locations at a given time. The lightcone calculator in my signature will greatly simplify the steps for you. The calculator uses proper distance rather than commoving distance. The advanced users section details the formulas the calculator uses and includes the Lineweaver and Davies article to explain those formulas. http://cosmocalc.wikidot.com/advanced-user This page will give your commoving distance formula however again requires several steps https://en.m.wikipedia.org/wiki/Comoving_distance To understand the t_e and t terms in the formula this page will help https://en.m.wikipedia.org/wiki/Hubble%27s_law However this is all covered in the lineweaver and Davies article in better detail Edited June 8, 2016 by Mordred 1
Endy0816 Posted June 8, 2016 Author Posted June 8, 2016 i believe you have created the greatest airline logo ever conceived. Thanks. The Magic of Gradients. They are still slightly off, but give it a nice look. Before moving to randomly generated arcs, it had this whole cosmic K thing going. Really looked like a logo then. The formulas involved has several steps as Hubbles constant is only constant at all locations at a given time. The lightcone calculator in my signature will greatly simplify the steps for you. The calculator uses proper distance rather than commoving distance. The advanced users section details the formulas the calculator uses and includes the Lineweaver and Davies article to explain those formulas. http://cosmocalc.wikidot.com/advanced-user This page will give your commoving distance formula however again requires several steps https://en.m.wikipedia.org/wiki/Comoving_distance To understand the t_e and t terms in the formula this page will help https://en.m.wikipedia.org/wiki/Hubble%27s_law However this is all covered in the lineweaver and Davies article in better detail I see homework in my future. :| Really just want something that doesn't involve balloons or raisin bread.
Mordred Posted June 8, 2016 Posted June 8, 2016 (edited) Thats why I mentioned the calculator in my signature. Saves time particularly if you correlate redshift to proper distance. Ps it also generates graphs. Unfortunately one of the contributors Marcus passed away Edited June 8, 2016 by Mordred
imatfaal Posted June 9, 2016 Posted June 9, 2016 ... Really just want something that doesn't involve balloons or raisin bread. Hey! I think raisin bread is tasty - I also think it is by far the best analogy as it actually works in three dimensions
Endy0816 Posted June 10, 2016 Author Posted June 10, 2016 Ends up eating a raisin bagel... Anyways... I like both but think there might be a better way to illustrate more aspects. Some of the coding will be easy, other parts painful. Read about an ideal form of Hubble's law, something along those lines might work.
Mordred Posted June 10, 2016 Posted June 10, 2016 Whatever visual aid your developing to help visualize a homogeneous and isotropic expansion. Two key aspects are critical. 1) expansion rate is the same regardless of point of reference 2) the angles do not charge between measurement points
imatfaal Posted June 10, 2016 Posted June 10, 2016 Ends up eating a raisin bagel... Anyways... I like both but think there might be a better way to illustrate more aspects. Some of the coding will be easy, other parts painful. Read about an ideal form of Hubble's law, something along those lines might work. You are suggesting that the universe is toroidal? Mordred might be able to tell us whether we have already shown that to be possible or not according to the latest ideas / measurements
Mordred Posted June 10, 2016 Posted June 10, 2016 (edited) I cant recall which paper it was but all complex shapes have been discounted. If I recall the paper uses the Planck 2012 dataset. The three viable shapes being flat,negative and positive. Any shapes more complex than that were afiak discounted. As far as negative curvature goes only one position on the saddle can maintain a homogeneous and isotropic universe. That being the seat. Edited June 10, 2016 by Mordred
Endy0816 Posted June 10, 2016 Author Posted June 10, 2016 You are suggesting that the universe is toroidal? Mordred might be able to tell us whether we have already shown that to be possible or not according to the latest ideas / measurements It is only a matter of time before we learn the truth Whatever visual aid your developing to help visualize a homogeneous and isotropic expansion. Two key aspects are critical. 1) expansion rate is the same regardless of point of reference 2) the angles do not charge between measurement points Do you think straight lines might work instead?
Mordred Posted June 11, 2016 Posted June 11, 2016 A common visual method is gridlines. Which works pretty good. You can show each grid getting larger without any angles changing. You can use this tactic in either 2d or 3d
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