  Many theorems in complex analysis propagate analyticity, such as the Forelli
theorem, edge-of-the-wedge theorem and so on. We give a germination theorem
which allows for general analytic propagation in complete normed fields. In
turn, we develop general analogs of the Forelli theorem, edge-of-the-wedge
theorem, and the royal road theorem, and gain insight into the geometry of the
zero sets of hyperbolic polynomials.
