Kirpich & Einstein
I’ve been wondering how you’d design a building that can stand up not just to weight, but to the weight of time itself—any equations for that?
Einstein: Think of time as a kind of invisible rope that pulls every frame of the building into a new shape. In equations, you’d start with the usual stress‑strain relation σ = Eε, but replace the constant E (Young’s modulus) with a function of time: E(t) = E₀·e^(–αt) to model material fatigue. Then, add a term for temporal deformation, like ε_time = β·ln(1+t), where β captures how the material remembers its past. Combine those in the elasticity tensor and solve the Navier–Cauchy equations in four dimensions—spatial plus time—and you’ll get a structure that flexes with the seasons of the universe, not just the weight of a roof. Just don’t forget the boundary conditions…they’re the real trick!
That’s a neat idea, but on a job site I still rely on a proper foundation. The math helps, but a solid base built the way it was meant to, with good footing and bracing, is what keeps a building standing through the years.
Einstein: Absolutely, foundations are like the first chapter of a good story; no matter how fancy the equations, you can't skip the ground truth. A solid footing, proper bracing, and a bit of good old engineering keep the building from slipping into a time warp.
Sounds good. A firm footing, proper bracing, and a bit of plain engineering are the only things that keep a building from falling apart, even if the universe’s got its own plans.