The alveolar type 1 (AT1) cells cover 95% of the cell surface area while the alveolar type 2 cells cover the remaining 5% of 100–150 m2 surface area of the lung. AT1 maintain membrane integrity by surface tension via caveolin proteins that stretch and collapse the membrane bilayer in physiological pressure cycling, however, collapse mechanics of the AT1 membrane have not been elucidated. Golani et al. modeled globular caveolin collapse structure base on mean curvature and lateral tension, and other sources have constructed similar models. The parameters are transformations of the critical packing parameter CPP equals monomer dimensions predicts that the monolayer shape of surfactants, described as v/al. Deng et al. model for gemini surfactants at the air‐water interface and Turner et al. model for the formation of caveolae bulbs via energy displacement of a membrane bound proteins have proposed similar geometric theories that show resemblance to lyotropic liquid crystal swell equation. The models feature common mathematical properties which are 1) spherical geometry, 2) lattice parameter‐based expansion, and 3) monomer population as mechanical descriptors of bilayer transformation. Each model correlated positively with cubic formation and decrease in surface tension. Krianeva et al. showed that monolayer of monoolein formed a new phase of bicontinuous phase, P4332, as the concentration of protein Horse cytochrome c increased. The spherical formation models predicted mesophases are cubic meaning that they are CPP >> 1, micellar cubic shape. The overall result, the caveolin bud shape is cubic bicontinuous mesophase, which is stabilized under physiological pressure cycling in the AT1 cell. We propose, the caveolin bud shape is a cubic bicontinuous mesophase stabilized under physiological pressure cycling in AT1 cell membrane and mechanics can be modeled by using the lamellar to cubic transition or the swelling law using change in surface tension vs lattice parameter as the formation rate. Furthermore, caveolin and cavin proteins present during the time of formation induce invagination, and, second, stabilization and fragility. Agarwal et al. show the transition phase between isotropic and cubic mesophase is a volume fraction difference of 0.05, a metastable polyhedral lattice produced by caveolin proteins, characterizing bud formation as plastic liquid crystal phase transition. This model could explain mechanoprotection by caveolae bud, and gives us a platform to think about self‐assembling monomer‐based medicines when approaching physical stretch dysfunction repair in the lung.Equations are models that describe cubic expansion from the lamellar setting across several membrane simulations. Equation 1 (left) describes the radius, r1, of Gemini surfactant. Equation 2 (middle) describes the formation of caveolae bulbs via the energy displacement of membrane‐bound proteins. Equation 3 (left) describes the swelling law of lyotropic mesophases.Figure 1