You start off by stating Earth is a ball as if it's a fact, implying that heavy balls in the sky are the only possible interpretation of the lights being viewed through the telescope. You then go on to mention that it's a just a theory and provide a mathematical argument that seems to disprove the ball theory.
It does in fact seem that the globe has literally ventured into Time Cube™ territory to remain consistent with observation. The globalist party has to claim that the Earth experiences two simultaneous rotations on the same axis at the same time i.e., a 24h rotation vs. the Sun (solar time), and a 23h 56m rotation vs. the Stars (sidereal time).
The following comes to mind when pondering this bizarre claim:
"Doublethink is the act of simultaneously accepting two mutually contradictory beliefs as correct, often in distinct social contexts. Doublethink is related to, but differs from, hypocrisy and neutrality. Also related is cognitive dissonance, in which contradictory beliefs cause conflict in one's mind. Doublethink is notable due to a lack of cognitive dissonance—thus the person is completely unaware of any conflict or contradiction.
George Orwell created the word doublethink in his dystopian novel Nineteen Eighty-Four (published in 1949); doublethink is part of newspeak. In the novel, its origin within the typical citizen is unclear; while it could be partly a product of Big Brother's formal brainwashing programmes, the novel explicitly shows people learning doublethink and newspeak due to peer pressure and a desire to 'fit in', or gain status within the Party—to be seen as a loyal Party Member. In the novel, for someone to even recognize—let alone mention—any contradiction within the context of the Party line was akin to blasphemy, and could subject that person to disciplinary action and to the instant social disapproval of fellow Party Members." -- https://en.wikipedia.org/wiki/Doublethink
The contradiction here if I'm correct in my analysis is, the sidereal day doesn't account for Earth's claimed motion around the Sun i.e. it fails to account for this motion so as to remain consistent with observation, while the solar day does take the motion into account so it can also remain consistent with observation.
With a flat and motionless Earth the lights of the Sun and Stars are projected separately onto the the dome and there's no contradiction.
Reference:
Time Cube™ with it's simultaneous four days & nights would in this case be be an example of quadruplethink. Clearly this is the authors attempt to show the hippocracy of the scientific establishment by espousing a ridiculous theory built using their own flawed logic.
"Time Cube was a personal web page operated by self-proclaimed 'wisest man on earth' Dr. Otis Eugene 'Gene' Ray, founded in 1997. It served as a self-publishing outlet for Ray's theory of everything, called 'Time Cube', which claims that all current sciences are part of a worldwide conspiracy to teach people lies; the theory's ultimate truth (and what the conspirators are said to be covering up) is that each day actually consists of four days. Alongside these statements Ray described himself as a 'godlike being with superior intelligence who has absolute evidence and proof' for his views. Ray claimed that the 'academia' has not taken Time Cube seriously." -- https://en.wikipedia.org/wiki/Time_Cube
Considering you can literally see the earth rotating, yeah, it's a fact.