Mordred

I haven't looked over the thread in question nor do I desire to do so. However I can testify that a moderators job on a forum is extremely difficult. Particularly in this example. What most people don't see is the complaints on a particular thread. The moderators cannot reveal those complaints nor can they even indicate that there has or has not been complaints. On a world wide forum that involves every ethnic group as its members. I can certainly see numerous problems associated with the thread on question. The nature of the thread itself is incredibly risky and prone to discriminate one group over another. On a forum this should never happen. Particularly one who's intent is to teach science. Is there a safe way to discuss possible disadvantages of one group as opposed to another? Possibly however it sounds as though this thread went from a safe scientific discussion to racial slur and insults which quite rightly entailed being shut down. To safely discuss this particular topic one requires his post to be 100% impartial to any personal feelings. One technique is to discuss the pros and cons in a particular scientific paper. The very minute impartiality is lost then either it is recovered quickly or the thread should be locked.

Calculating the amount of photons in a volume of space is trivial. Science doesn't rely on human senses so terms such as light or dark has very little meaning. The contribution of the number density of photons is easily calculated via the Bose-Einstein distribution formula. Our test equipment can measure all spectrums of electromagnetic radiation which confirms the Bose-Einstein distribution formula. [latex]n_i(\varepsilon_i) = \frac{g_i}{e^{(\varepsilon_i-\mu)/kT}-1}[/latex] Which is roughly [latex]3.71*10^8/m^3[/latex] at universe blackbody temperature of 2.73 K You can check this article to confirm. http://arxiv.org/pdf/astro-ph/0406095v2.pdf "The Cosmic energy inventory"

[latex]\frac {t_1\gamma_1}{(1-\frac {2GM}{ r_1c^2})^{1/2}}=\frac {t_2\gamma_2}{(1-\frac {2GM} { r_2c^2})^{1/2}}=\frac {t_3\gamma_3}{(1-\frac {2GM}{ r_3c^2})^{1/2}}[/latex] Fixed the latex DimaMazin please confirm this is correct to your post. As it looks incorrect

Welcome to SFN. I have heard of the methodology of simulating predators to keep migrating herds bunched together. This practice has excellent results in renewing plant growth due to the manure enrichment. Many farms could reap the beneficts from such a practice as more often than not those lands have a greater ability to support plant life as well as retain more water. It's almost a shame that most farmlands don't rejuvenate their soil in a similar manner. It would in a sense be worth not growing crops for a few years and instead use the cattle etc rejuvenate that piece of land. I recall someone mentioning that one person with a sizable herd, has persuaded several farms to use his livestock to help rejuvinate their lands but never got any details on cost vs gain for the cattle owner or farmer.

Well I'm glad your satisfied with what's hidden in mathematica. Personally if I wanted to fully understand an animation. I'd like to be able to apply it to any programming language. Even basic. ( with the exception of PLC based lanquages I'd hate to try this in ladder logic or booleon lol)

So mathematically model it. Animation isn't math. An animation uses math. If you want to create the animation you need the mathematics.

Think of the blue as tangent to the rotation of green and yellow. Describe the rotation of green and yellow first. You'll need this to describe the tangent plane.

You can't define a tangent plane unless you can describe the object it is tangent to. Step one describe the path of e. Step two describe the tangent plane to path e. Any complex math problem can be broken down into simpler steps. This is what were doing but your trying to reach the end product by ignoring what's prior to derive the end product.

Have you not noticed that value e and value "angle between longitude and tangent plane are not identical? In fact they are opposite when one is zero the other is 90 degrees.

Think of the beige and purple planes as just the original position. Ignore blue. Your simply rotating the The yellow and green plane described by e. As e rotates the blue plane shows the angle between the longitude and the tangent plane. There you can now program this animation.

Ok ignore the blue plane and visualize the rotation without it. Now describe that objects rotation without the blue plane. Then note there is two value mentioned. The value of e and the (degrees between longitude and latitude) as one equals 0 the other equals 90 degrees. So which of the three planes rotating is represented by (degrees between longitude and tangent) as the plane binding point undergoes its rotation.?

Ok ignore the blue plane and visualize the rotation without it. Now describe that objects rotation without the blue plane. Then note there is two value mentioned. The value of e and the (degrees between longitude and latitude) as one equals 0 the other equals 90 degrees. So which of the three planes rotating is represented by (degrees between longitude and tangent) as the plane binding point undergoes its rotation.?

Rough guess I was going to say dihedral angle but that's incorrect. Without knowing the intention of the animation in the first place from Hans directly your guess is as good as mine. The math is reproducable but that doesn't necessarily show the intent. For one thing Hans has several animations. Which he explains yet doesn't include details on this particular one.

Bingo. We choose c to follow the 45 degree line. Which makes plotting two Lorentz formulas easier. Time dilation and length contraction. As shown here. http://www.google.ca/url?q=http://www.phas.ubc.ca/~mav/p200/stnotes.pdf&sa=U&ved=0ahUKEwik27S2_fPMAhVY0GMKHb9sBA8QFggiMAU&sig2=3p5OTYqu4FQWehK27ZXdDQ&usg=AFQjCNF41YE6hVXGXB4_-GgwMsnpMn2CGg

Ok so far but what does the 45 degree line represent on the ct vs x graph. second question In terms of y vs x what is the numerical relationship along the 45 degree line. Here is a hint [latex] ct=\frac{v}{c}x[/latex]

Ok show how ct is represented. Also specify what specifically the 45 degree axis represents on a ct vs x graph. I'd like to see if you truly understand why the 45 degrees is chosen in spacetime graphs.

Ah now that's a relationship of a completely different stripe as to what's been presented thus far this thread. However the 45 degree line used in Lorentz is a convenient choice. None of the models presented so far this thread has a ct axis.

Are you aware that angles are considered invariant quantities? "Angles and ratios of distances are invariant under scalings, rotations, translations and reflections. These transformations produce similar shapes, which is the basis of trigonometry" https://en.m.wikipedia.org/wiki/Invariant_(mathematics)

No I want you to show why that plot means 45 degrees is invariant.

Funny I don't see a single math equation in any of your posts. I see a lot of claims but no equations

Fine if the math is so simple to describe as being invariant and you claim to have done that math then post it. It is your claim no one else's. It's time for you to mathematically defend that claim

So let's ask the question "why would you think this animation suggests that direction has a property?" Many of your posts along those lines simply distract from solving the math behind the animation. As far as that goes we've supplied the needed clues as to how to program that animation. In all honesty it merely appears complex.

No you don't you just need a 3d trig function which combines two 2d trig functions.

Then post the math. Quite frankly programming this animation is straight forward.

Steve all you need to do is look for two simultaneous trig operations. Look at how point e moves. If calling two simultaneously operated trig functions count as a new function ( which it doesn't) then sure it's a new function. Every change relates to a change in degrees in two simultaneously operated trig operations. For e one is y to x, the other is z to x. The other clue is the angle between longitude and tangent planes is identical at times. In essence he is applying the same change on the logitude plane and the tangent plane and calling this a new trig function. One example plot f(x,y)=sine(x)+y