I didn't read all of this here but to add something ti the topic i am quoting Tom Bishops reply in a
thread titled "double standards" in flar earth general section i think
Quote from: rabinoz on March 04, 2020, 05:12:46 PM
No, it nowhere says that "light is curving" anywhere!
It does say "Straight lines in space are not actually transformed into great circle arcs on a visible celestial sphere."
Go and read THE MOON TILT ILLUSION by ANDREA K. MYERS-BEAGHTON AND ALAN L. MYERS and show where it says light curving on the the "celestial sphere"!
Myers says it here:
https://www.upenn.edu/emeritus/essays/MyersMoon.html"The scientific explanation is based on the projection of a straight line onto the surface of a sphere. A simpler explanation was provided in a conversation with Benjamin Shen, Professor Emeritus of Astronomy at Penn, who said that light appears to follow a great circle route from the sun to the moon. That's why the moon's lit face appears to us not to face the sun squarely, regardless of whether the sun is above or below the horizon."
And here:
https://www.seas.upenn.edu/~amyers/MoonPaper20June.pdf"The moon tilt illusion is not described in astronomy textbooks because astronomers know that straight lines in object space become great circles on the celestial sphere."
And elsewhere in the document here:
"Astronomers rely upon the celestial sphere model for maps of the sky because locations of stars and constellations depend only on their right ascension and declination. For the topocentric model used for the sun and the moon, location is specified by azimuth and altitude. All objects in the sky are assumed to be located at the same distance from the observer, as if pasted upon the surface of an imaginery sphere surrounding the observer. Astronomers, for whom the celestial sphere model is a basic tool for mapping the stars, are not surprised by the apparently curved path of light from the sun to the moon because they know that straight lines in 3-D object space are transformed to great-circle arcs on the imaginary celestial sphere."
He also says that the equations in the predictive portion use the celestial sphere concept:
"Our aim is to derive an equation for the magnitude of the moon tilt illusion that is straightforward to apply to all configurations of sun and moon in the sky. The viewer’s expectation for the direction of incoming light is modeled using vector geometry, which is appropriate for treating 3-D straight lines such as the sun-moon light ray. Analyzing an illusion may seem trivial but the explanation of the moon tilt illusion requires knowledge of the perspective projection basis of human vision, vector algebra, and geometrical concepts such as orthographic projections, the celestial sphere, and geodesics."
Maybe YOU should read it.
Quote
Surely the string stretched straight from the one ball in the direction of the moon to the other in the direction of the sun demonstrates that.
Nope. The string experiment stretches a string across our spherical field of vision. It does not prove that the illuminated part of the Moon is pointing at the Sun.
For a fish-bowl type simulation of the Moon Tilt Illusion see University of Nebraska-Lincoln's Moon Phases and the Horizon Diagram:
Quote from: rabinoz
In closing, we can all observe the moon's terminator tilt illusion so how do you explain it from your flat Earth path of the Sun and Moon?
It's explained in the Wiki link:
https://wiki.tfes.org/Moon_Tilt_Illusion#Flat_Earth_Moon_Tilt