No it isn't. The point of convergence is always infinitely far away.
Some objects simply become too small to resolve before then, and if they do, they typically don't disappear on the horizon.
Nope, perspective lines meet at the point of convergence.
I didn't say they didn't.
The point of convergence is always infinitely far away.
Some objects will appear to vanish before the point of convergence because they are too small to resolve, and they typically don't vanish on the horizon.
It doesn't need to, the angular diameter is independent of the point of convergence (I forgot to stress that point in my post), if you were to constantly expand the size of something as it furthered away to keep the angular diameter constant, it still follows perspective lines, it doesn't magically defy this the moment we retain the apparent size somehow.
No it doesn't.
The entire point of perspective lines is that they are parallel.
A classic example is a set of railway tracks. They start out say 1.5 m apart, and all the way off in the distance they are still 1.5 m apart.
For them to be perspective lines they MUST remain the same distance apart.
It also means the further away an object is, the smaller it appears.
So if it were to get bigger, then it wouldn't be following perspective lines. It getting bigger would be it magically defying perspective. So no, it does magically defy it the moment you retain the apparent size.
So no, by maintaining the apparent size, it no longer disappears due to perspective.
The sole reason things disappear due to perspective is because they become too small to resolve.
Only if you are referring to the infinitely far away one rather than the resolution limited one.
If you are going for a finite one, the ship's will be much closer as it is much smaller.
Considering that they are converging all at the same point, anything not being visible before it is because the object got to a point in which it was too small to be resolved by our eyes (like the resolution of a camera making things appear to vanish when zooming away).
Then it would need to be infinitely far away, which it never reaches.
When you say they "converse all at the same point", you really mean they set behind the horizon. This isn't a result of perspective. It is a result of Earth getting in the way so you can no longer see the object.
If it was a result of perspective they would simply get too small to resolve and thus each disappear at different points.
No it isn't. There is no magic apex of perspective lines. Perspective lines extend to infinity in all directions.
It's not magic, it's reality.
No, it is magic.
Assuming the sun is 5000 km up, then after it moves 1000 km from directly overhead it will be at an angle of elevation of 78.7 degrees and thus appear to have descended 11.3 degrees. After another 1000 km it will only have descended another 10.5 degrees to 68.2 degrees angle of elevation. After another 1000 km it will have descended to 59.0 degrees, then after another it will descend to 51.3 degrees, then 45, then 39.8 and so on.
Notice the massive change in rate?
At the start it dropped 11.3 degrees for 1000 km. At the end (well after 45 degrees), it dropped 5.2 degrees.
This again?
It's all based on your nonsensical assumptions on perspective.
No, it is based upon facts of how perspective works.
Do you have anything rational to say to it, or are you just capable of ignoring it because it shows you to be wrong?
So no, it will not be the same rate. If it was the result of perspective it would appear to descend quickly near the start and slowly at the end, only ever approaching the horizon (which is at a negative angle of elevation).
No, the rate of change is constant due to the fact that the sun is at an altitude above the apex of perspective lines (which all meet at a point of convergence a FINITE distance away), descending at a 45 degree angle to the ground, forming an isosceles right triangle from our perspective. So, if the sun is beyond the apex of perspective, after it moves x distance from directly overhead it, it will, regardless of how close it gets to convergence, always be descending at the same rate of y due to the fact that it is always descending at the same angle to the horizon. Being at a 45 degree angle to the horizon.
Pretty much everything in that statement was pure bullshit.
There is no apex of perspective lines, they go to infinity in all directions.
The sun doesn't descend in a magic 45 degree angle triangle.
NOTHING will descend at the same rate due to perspective. The further away it is, the slower it will appear to move.
Or, if its above the apex of perspective lines, which all meet at a vanishing point, which is what I have been saying.
Nope, as that is just pure bullshit. There is no apex of perspective. If you think there is, try proving it.
No it doesn't. That is just a crappy drawing with a few lines, some almost true statements and some blatantly wrong ones.
It gets it right actually, that things will descend steeper into the vanishing point to converge due to the fact that there is one a finite distance away, our vision is like a cone.
No, it gets it completely wrong. Our vision is like a cone, with the apex on our eyes. The further away, the greater the linear size we can see.
It is nothing like the magic you need which needs to be completely independent of our eyes and instead fixed to Earth, such that you get the same magic BS cone regardless of which way you look.
Try drawing it again, but this time have the person look straight up and see what they should see.
The steepest angle an object can approach the vanishing point is 0. That is because the vanishing point is infinitely far away.
There you go with your dogmatic and nonsensical assumptions again.
You mean with facts and reality.
You are the one going with dogmatic and nonsensical assumption which have no basis in reality.
If you are going to use a resolution limited one then they aren't going to disappear on the "horizon". Instead plane 2 will disappear slightly above it and plane 1 will disappear significantly above it.
Nope, they are descending into the same vanishing point and therefore Plane 1 will descend steeper than Plane 2 to the same point of convergence.
Only if you are talking about one infinitely far away which they will never reach.
It does get one thing almost right though, the further away an object is with constant linear speed, the more constant its angular speed will appear to be, but it will also be slower.
In order to get a truly constant speed, the object would need a linear speed of 0.
That is because the rate of change changes less the steeper it has to descend, descending at a constant rate when something reaches the climax of our perspective triangle.
Again, there is no apex or climax. It extends infinitely.
The only time it reaches a "constant rate" would be if it is infinitely far away such that its rate is 0, i.e. it isn't moving.
As soon as it is some finite distance, it will be some changing rate.
I did the math to prove that. If you wish to disagree and have any sane person take you seriously you will need to do more than just dismiss reality and spout bullshit in its place with no backing at all.
The reason it seems like there is is because there is a dependence on angular speed and angular speed depends on linear speed and distance. For the above example, it took 5 hours for the object above to go from directly overhead at 11.3 degrees an hour to reach 45 degrees and 5.2 degrees an hour.
If it was twice as far away, then its angular speed would be cut in half. It would now start travelling at 5.65 degrees per hour, and it would take 10 hours to reach 2.6 degrees per hour. So it would take twice as long to get to the same fraction of initial speed.
The sun descends constantly because its part of the isosceles right triangle of our perspective, descending at a 45 degree angle into the vanishing point.
No it isn't. There is no magic triangle of perspective.
Firstly, atmospheric lensing would be the same as refraction.
True, but it is fair to distinguish them, since one is based on variations in refractive index and the other, basic light deflection.
No, it isn't fair to distinguish them. You are intentionally using a different word to try and hide from the reality of refraction so you can pretend it does something it doesn't and try link it to ideas so your BS with magnifying glasses might be more convincing.
The variations in refractive index case the light deflection.
Taking the atmolayer as a gradient index material, light converges to magnify, and the sun doesn't reach beyond the focal length of the atmolayer from our perspective, if it did, it would then lack the capability of magnification with further movement away.
Again, only in one direction, the vertical direction, and only an insignificant amount.
As it continues away, it passes through the atmolayer at an angle to reach our vision, increasing the strata length to pass through as it continues away, and converges at an angle due to perspective. To say it isn't significant enough is to be ignorant of the nature of the strata above us.
Do you mean the magic strata you have invented?
We know how the refractive index of air compares to a vacuum.
What are you suggesting is above us? Do you have any basis at all for your claim?
More importantly, that wouldn't help it dip below the horizon. That would just make it look bigger.
It would actually, it is capable of distorting the imagery of it and have a sort of reflection from refraction that affects our view from our angle of incidence being changed to a different angle, cutting off the bottom of the sun.
This video has an example at around 10:00 where this optical effect obscures the bottom of distant things:
You mean where they openly admit the ground isn't flat, and they are focusing on a heat haze, a transient effect, where you can get a completely different result by using a flat road without the heat haze?
If you used a lens which actually behaves like the atmosphere, it would make things appear higher, not lower. It would not hide things behind a horizon.
So again, USE A MODEL WHICH MATCHES REALITY NOT A COMPLETELY DIFFERENT LENS.
Another point brought up by many is the divergent lines from the horizon, as the sun hits the horizon, it transitions into these divergent lines.
Without any explanation at all I see?
These divergent lines are not divergent at all. They just appear that way. They are parallel lines, and if you follow them, they can appear to meet on the opposite horizon.
Again, we know how this works, it isn't just dependent upon water. It produces a very negligible change and only in the vertical direction.
Vertical as in? It does it in between the gradient index atmolayer and the sun, it passes through more atmolayer strata at sunset due to its angle to the observer, it is always between us and the sun and the gradient index effect exists all across the atmolayer, not simply in some specific direction you want to imply is the only way it could work.
Vertical as in if you are looking at the sun, so the sun is directly forward from you, standing upright, such that the ground is roughly level, left to right, vertical is up and down.
You only have the gradient in the atmosphere vertically. You do not have it left and right.
That means the atmosphere is completely incapable of magnifying in the horizontal (i.e. left and right) direction.
Instead, it is only capable of magnifying in the vertical direction (i.e. up and down). With decent equipment this is observed, with only a slight increase in the apparent vertical size of the sun.
Yes, passing through much more of the ATMOSPEHRE results in refraction having a greater effect, as does the angle. This means the most magnification occurs at sunrise and sunset, which is when you can start detecting a slight increase in the apparent vertical size of the sun.
Again, it has no effect on the horizontal size.
It is similar in that as distance increases, it increases apparent size with this magnification effect by converging light. It's a basic concept.
And it is a completely dishonest representation.
Again, it isn't due to converging light, it is due to diverging light.
It is nothing like how your vision or the atmosphere works.
The angle of incidence in which the light is reflected from the thick ground layer gives the cut off effect, it is an observed fact that this phenomena happens, no need to bring this up for my point.
Do you mean in fairly rare instances where it can happen, as opposed to an everyday, everywhere occurrence that would be required to have your FE model match reality?
You mean where they use a completely different lens to get the effect we observe rather than the one expected if Earth was flat and atmoplanic lensing was a thing?
He used a Fresnel lens, it focuses the light rays by means of refraction, just like the atmolayer.
No, completely different to the atmosphere.
Once again, the atmosphere has a vertical gradient, not a horizontal one. The frenzel lens has both.
The atmosphere doesn't magically have the gradient switch half way up. The frenzel lens did.
If you want to make an honest comparison, without getting 2 fancy, you would cut the lens in half, such that the centre is on the table and then try, and state quite clearly that it will distort the horizontal from what would be expected for your model.
To do it properly, you would get a lens which only distorts in the vertical, not horizontal.
For example, in showing the buildings, where was the centre of the lens? Up nice and high. This means some light would be bent down, while other light is bent up, completely different to how refraction actually works where for the most part (i.e. ignoring transient effects) light is just bent down.
Again, its a lens, converges light by means of refraction, not light rays bending all in one direction by passing through a different medium.
Yes, that is why calling it lensing is extremely dishonest.
The atmosphere is based upon refraction with a vertical gradient which results in the light all bending in one direction (down).
Notice how in order to get the sun to disappear, he has to use a mountain rather than just a flat surface?
That mountain was used as an example to show the earth sunset.
And that doesn't change the fact he was unable to show a sunset over an ocean or the like.
Its a lens based on focusing light beams by refraction. The atmolayer does just that by having refractive index variations.
https://en.wikipedia.org/wiki/Gradient-index_optics
Again, the issue is he has the gradient horizontally as well as vertically, and more importantly, the gradient is not monotonically decreasing with height as the atmosphere is.
Notice the first image in your link?
It shows the refractive index as a function of x. Notice how it decreases from the centre? To model the atmosphere it should decrease from the table.
So again, TRY IT AGAIN WITH A LENS TO SIMULATE WHAT YOUR ATMOLAYER SHOULD DO OR JUSTIFY HOW IT HAS THIS BS REFRACTIVE INDEX!!!
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1. The sun's descent should be constant, since it is descending beyond the apex of our perspective lines, at a 45 degree angle to the horizon.
Again, PURE BULLSHIT. There is no apex, it extends to infinity. Simple math shows quite clearly that the rate will vary.
2. The atmolayer's behavior matches what I was saying, it is a gradient index material, and acts similar to magnifying glass in that it focuses light.
No it doesn't. Your fictitious pile of crap matches. That in almost no way matches the reality of the atmosphere/atmolayer.
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I can tell you are purposefully doing whatever you can to explain away every point I am making, so sad that this is your goal here.
Yes, my goal is to point out all your BS rather than leaving it to go unchallenged.
I am "explaining it away" by pointing out exactly what is wrong with it, explaining why it is wrong and even giving examples. All you seem to be able to do in response is assert that the same bullshit again and dismiss what i have said.
Are you able to disprove any of what I have said or prove any of your nonsense?
The lens simulates the gradual variation of refractive indexes throughout the layer. Temperature inversion contributes to this, being part of the gradient index optics associated with the strata layer above us. With the different temperatures, the refractive index changes, so you are correct, but the video simulates this nonetheless, with the fresnel lens operating as the example, but works the same as any lens would, relying on focusing light by means of refraction, just like the atmolayer would with temperature inversion.
But it doesn't just do that. Instead it also simulates a non-existent horizontal gradient to pretend the sun can remain the same size, and it gets the vertical gradient completely wrong with the refractive index increasing with height to begin with before dropping.
So no, it isn't just like the atmolayer would.