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The statistical physics of phase transitions has been hugely successful atdescribing numerous natural, physical, and technological phenomena, and now arigorous examination of the phase space of the culinary regime is likewise ripefor the picking. Despite great demand for the resolution of many scientificdebates over the taxonomy of food, past attempts have failed to account forcomplex phase behavior and co-existence, and have thus left the public hungryfor a more substantial theory. By applying the principles of statisticalphysics and thermodynamics, we here map out the complete phase space of allculinary dishes and find three distinct phase regimes: Soup, Salad, andSandwich. We consider the effect of different state variables on these phaseboundaries, as well as regions of co-existence and triple points. With thiscomplete 3-dimensional phase diagram of all foods, we can conclusively answermany bitter debates, including the imperishable question "is a hotdog asandwich?" The answer: yes.

What's for Lunch? A systematic ordering of foods in the Soup-Salad-Sandwich phase space