Sauron - Physical form in The War of the Ring or not?

[Inziladun]

Originally Posted by Zigûr

The Eye was his symbol and how his psychic presence was perceived by those who encountered him in or through the unseen world or how its manifestation was interpreted by those who observed his power (see the flash from the summit of Barad-dûr witnessed by Sam in Mordor).

In line with that, I note that Frodo, as a Ring-bearer who had worn the Ring, seemed to have a special propensity to perceive the Eye. He saw it in the Mirror of Galadriel, and "felt" it while wearing the Ring on Amon Hen. Even earlier than that, while at Rivendell, it seems there was a psychic connection between Frodo and Sauron, via the Ring. Something as innocuous as looking at the night sky apparently put the Eye into his thoughts.

But low in the South one star shone red. Every night, as the Moon waned again, it shone brighter and brighter. Frodo could see it from his window, deep in the heavens, burning like a watchful eye that glared above the trees on the brink of the valley.

FOTR The Ring Goes South