Bring cream cheese, eggs, and heavy cream to room temperature (cream cheese for 2-3 hours, eggs and cream for 1 hour).
Preheat oven to 400°F (205°C). Crumple two large sheets of parchment paper, then press into a 9-inch springform pan with paper extending 2-3 inches above the rim on all sides.
Beat room-temperature cream cheese on medium speed for about 2 minutes until completely smooth and lump-free, scraping down the bowl once.
Add granulated sugar in a slow, steady stream and beat for 1-2 minutes until fully incorporated and the mixture looks light and slightly fluffy.
Add eggs one at a time on low speed, beating well after each addition until fully incorporated before adding the next.
Slowly pour in heavy cream, then add vanilla extract and fine salt. Mix until just combined, scraping down the bowl once more.
Sift all-purpose flour directly into the batter and gently fold with a rubber spatula until no dry streaks remain.
Strain the batter through a fine mesh sieve into a large measuring cup for an ultra-smooth, silky texture.
Pour batter into the parchment-lined pan and gently tap on the counter to release air bubbles. Bake for 50-60 minutes until deeply caramelized on top and the center still jiggles like gelatin.
Cool in the pan on a rack for 2 hours (the center will sink dramatically), then refrigerate uncovered for at least 4 hours, preferably overnight.
Unlatch the springform pan, peel away parchment, and transfer to a serving plate. Cut with a sharp knife dipped in warm water for clean slices.