While "The Everlasting Gaze" was the lead single in the United States from Machina, with a radio promotional single released, and a high-energy music video filmed with new band member Melissa Auf der Maur, "Stand Inside Your Love" was ultimately released as the lead international single. "Stand Inside Your Love" was initially conceived to be similar to the new wave style of the band's earlier hit "1979"; however, Corgan opted for what he considered "the classic Pumpkins sound".
The single cover of "Stand Inside Your Love" was designed by Vasily Kafanov and is primarily a depiction of the alchemical androgyne, one of the most significant symbolic representations within alchemy, and, on its most basic level, represents the perfect union between man and woman when joined as a single entity. Atop their head is a single crown, known to the Kabbalists as Kether, the source of all creation, and the first Sephiroth on the Tree of Life.
The music video of "Stand Inside Your Love" is a tribute to the play Salomé by Oscar Wilde. Billy Corgan created the video's look together with English director W.I.Z. under the heavy influence of original Salomé illustrations by Aubrey Beardsley. Corgan's then-girlfriend Yelena Yemchuk played the main character in the video. Billy Corgan explained, "Well, 'Stand Inside Your Love' is one of those rare songs that seems to write itself really quickly... As far as the song goes, it's sort of a love song that rocks, which is pretty rare, even for me. And I even got my girlfriend dancing in the video, so it's all a tribute to my girlfriend, I guess." Corgan would also call it the only "true" love song he's ever written.
Sharon Osbourne cited her dislike for the music video, along with her conflicts with Corgan, as a motive for her departure from the band's management.