If perspective puts the sun at the horizon, then the photons are illuminating the observer and sticks from 90 degrees, and will therefore create long shadows.
Cool. Can you show a diagram indicating how photons can travel in a straight line from a sun 3000 miles above the plane of the earth and arrive at my eye horizontally so the sun appears on the horizon and casts long shadows.
Thanks.
There are diagrams of the sun intersecting with the horizon in the p-brane video.
He doesn't say how far it would have to intersect if the Sun'r trajectory was parallel to ground.
But we can calculate for him:
In most common flat model the height of Sun (gap between Sun and ground) is 5005 km.
To make it disappear from human eye it has to reduce to one arc minute (0.0167 degrees).
It would happen at the distance of 5005 / tan(0.0167) = 17 171 578.94 km.
We all know (and can verify any time) that angular speed of Sun is 15 degrees per hour.
We also know that it is constant from any observation point, making it impossible to create model where Sun has variable speed.
If the Sun is constantly at 5005 km above ground, then same length segments of Sun's trajectory will have different angular lengths seen from different angles.
One hour of Sun's movement will cover 15 degrees at noon above our heads and only 5 degrees some distance away at 5 pm.
P-brane pretends that such change in angular speed wouldn't exist, hoping nobody will ask.
Sao Gabriel de Cachoeira, Brazil, place directly on Equator.
Equinox, Sun directly overhead.
At 30 minutes before solar noon Sun is 7.5 degrees to the east.
It is 5005 * tan(7.5) = 658.92 km east of zenith.
At 30 minutes after solar noon Sun is 658.92 km west of zenith.
It makes it 1317.84 km/h.
Was Sun travelling faster/slower this morning?
Will Sun travel faster/slower this afternoon?
More or less than those 1317.84 km/h?
Ok, if not, then from 6:30am to 7:30am Sun swept 5.537 degrees across the sky, and from 6:30pm to 7:30pm will sweep 3.44 degrees.
We can go out and measure angular speed of Sun at 7 am and 7 pm.
If we care to be "zetetic" (inquisitive).
Don't tell me you couldn't see this for yourself?