Preamble
For me, the topic of the shape of the earth has two distinct parts. (1) Disproving the official spinning globe model (2) Constructing an alternative model that matches observational reality. Too often these are lumped into one resulting in a disproof of one model being used as a direct proof of another model. Ie "Southern star trails don't work on the flat earth model" -> therefore official spinning globe model is correct.
Let's assume we are past (1). Now I want an alternative model that works which requires addressing challenges to it.
The Sun
The standard flat earth model has the sun taking a circular path around the North pole, parallel to the ground with the radius of the circular path changing with the seasons. When the radius of this path is the largest it is summer in the Southern 'hemisphere'.
An Observation
It is observed that Tierra Del Fuego, at the tip of South America has a longest day of 17h 19m and 53s. As can be seen from the standard flat earth map, the sun's position would be the top blue dot where the three arrows are coming from. Each longitude line is 40 minutes. Half of 17:19:53 is 8:40, or 13 lines. The left line on the photo measures the sun's position at the end of the longest day. The other two lines are the same length. If the sun can be witnessed over that distance to Del Fuego, it would reach similar distances to other parts of the earth.
http://imgur.com/taP5Va8
That is, the world would be in perpetual daylight as seen by this image: http://imgur.com/2CI8oGA With the sun coverage shaded in. This of course is when the sun is the furthest off the centre of the "disk". In the northern summer, it would completely cover both hemispheres 24/7.
A model consistent with this observation
To me this means that the sun cannot be modeled on a flat earth as a spotlight with constant viewable distance. In this video MrThriveAndSurvive begins with problems for sun ray angles in the spinning globe model, then starting at around 18:00 he talks about a flat earth model for the sun where refraction from curved glass in the sky creates the observed phenomenon https://www.youtube.com/watch?v=tafd1p7MBHc
A question that is important in this discussion: Does light bend as it travels through the atmosphere? The Wild Heretic website (which promotes concave earth) has this page discussing the bending of light in the atmosphere: http://www.wildheretic.com/bendy-light-the-evidence/ I find the Theodolites section interesting.
Does anyone else have any thoughts on modeling the behavior of the sun for a flat earth model that are consistent with the observation I described? Are there any problems with the observation I gave and my reasoning that it means the sun cannot be modeled as a spotlight with constant viewable distance?
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