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We present a functional analytic notion of black hole event horizons that isbased on a particular class of roots of the determinantial polynomials of theprincipal symbols of the Dirac, Klein-Gordon, Maxwell, and Fierz-PauliHamiltonians defined on stationary black hole spacetimes. This notion isprofoundly different from the usual black hole event horizon concepts, whichmake use of the geometry and the causal structure of the underlying black holespacetimes, as it only refers to the effects that black hole event horizonshave on the dynamics of the fundamental physical fields. Moreover, we proposean alternative functional analytic account of black hole entropy and argue thatour notions can be directly extended to also apply to related types ofhorizons.

On Functional Analytic Notions of Black Hole Event Horizons and Black Hole Entropy