I mentioned in another thread, theres parts in vertigo's lyrics which makes it feel like Beautiful Day part 2
"I can feel your love teaching me
Aaahhhhh-aaahhh-aaahhh-aaahhh...
Your love is teaching me
Aaahhhhh-aaahhh-aaahhh-aaahhh...
How to kneel, kneel"
in BD hes asking someone to touch him, teach him, take him to another place, and in 'Vertigo' he is at another place (a place called vertigo), and he is feeling that someone's love is teaching him
also the main guitar riff reminds me of lady with the spinning head