Solar noon is based on Earth's rotation, not its orbit (in contrary to equinoxes).
Solar Noon is part of the Solar Day and Solar Time, which is period of the rotation of the sun around the earth.
The number of Solar Days and Solar Hours must fit into the Solar Year. See the
Recap post. After 365.24 Solar Days the earth will be back at the September Equinox point. Solar Noon will be at a position that is + ~6 Hours. Solar Noon can't change.
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You have not yet provided the +6 hour solution.
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It takes 365.24 solar days (i. e. time units are not defined by the tropical year and that do not fit exactly to one tropical year) to complete a tropical year.
See
https://encyclopedia2.thefreedictionary.com/tropical+yearTropical Year
the time interval between two successive passages of the sun through the vernal equinox. The tropical year contains 365.242196 mean solar days.
It says right there that the Tropical Year, also known as the Solar Year, contains 365.24 Solar Days.
The variation between years is very small.
Solar/Tropical Year Variation
See
https://en.wikipedia.org/wiki/Tropical_yearMean time interval between equinoxes
As already mentioned, there is some choice in the length of the tropical year depending on the point of reference that one selects. But during the period when return of the Sun to a chosen longitude was the method in use by astronomers, one of the equinoxes was usually chosen because it was easier to detect when it occurred. When tropical year measurements from several successive years are compared, variations are found which are due to nutation, and to the planetary perturbations acting on the Sun. Meeus & Savoie (1992, p. 41) provided the following examples of intervals between northward equinoxes:
| days | hours | min | s |
1985–1986 | 365 | 5 | 48 | 58 |
1986–1987 | 365 | 5 | 49 | 15 |
1987–1988 | 365 | 5 | 46 | 38 |
1988–1989 | 365 | 5 | 49 | 42 |
1989–1990 | 365 | 5 | 51 | 06 |
Until the beginning of the 19th century, the length of the tropical year was found by comparing equinox dates that were separated by many years; this approach yielded the mean tropical year (Meeus & Savoie 1992, p. 42).
The variation between the years does not account for those hours.
I have also shown with the Recap post at the top that the Solar Day must be connected to the Solar Year.
This is the crux of the issue, right here. There's no hope of resolution if we don't understand why the "solar day must be connected to the solar year" in the whole integer way you expect, or if you don't understand that the relationship is fractional.
Without that being resolved, this is a merry-go-round.
I'm getting off, unless I see an explanation from Tom why the earth's rotation relative to the sun (solar day) must be synchronized to the orbit around the sun (solar year), without any fractional variance.
This was explained. See the
Recap Post. The Sun is back in its position in its path around the sun. Solar Noon can't change.
The Sidrael Year only has a difference of 20 minutes from the Solar Year.
See
http://astro.unl.edu/naap/motion3/sidereal_synodic.htmlthe sidereal year is about 20 minutes longer than the tropical year.
Not a solution to the number of Solar Days in a Solar Year.
Solar Noon is based on a 24 hour Solar Day. After 364.24 days Solar Noon should have moved ~6 Hours. The geometry of the scene when the earth returns to the September Equinox point shows that Solar Noon is not in that place.
Assuming solar noon was the start of the solar year, after 364.24 solar days, the last solar noon would have happened ~6 hours before the equinox. Thus, at equinox, solar noon is past. Solar noon didn't change. It still came and went as predicted. The return to equinox after one solar year will not line up with solar noon, as you apparently expect it to. That's not the "geometry of the scene." The earth has rotated past solar noon by the time equinox arrives.
You say "The earth has rotated past solar noon by the time equinox arrives."
Solar Time is based on the sun moving over the earth along a local celestial meridian. If the earth has rotated past Solar Noon after a Solar Year, then the Solar Noon has as well. The Solar Day does not fit into the Solar Year.