and speculate on similar constructions in more general flux compactifications. II. THE ORIGINAL BUBBLE OF NOTHING The bubble of nothing geometry introduced by Witten [1] is easily obtained from the five-dimensional Schwarzschild black hole, It will be convenient for us to express this metric in terms of a new radial coordinate, r = $^{√}$ρ 2 − ℓ $^{2}$, as We can now Wick rotate two of the coordinates via to yield This is the bubble of nothing metric written in a somewhat unfamiliar gauge. (See the discussion in [19].) In the limit r → 0, it becomes which is devoid of a conical singularity if we impose periodicity with 0 ≤ y < 2 π . In this limit the r − slice degenerates onto a 2 + 1 dimensional de Sitter space of size ℓ , representing the induced metric on the bubble surface. In the limit of r ≫ ℓ , the metric asymptotes to which represents the cartesian product of 4 d Rindler space and a circle of circumference 2 πℓ . The bubble of nothing geometry can therefore be regarded as a deformation of Rindler space (times a circle), whereby the horizon region near r → 0 is replaced with a smooth tip consisting of dS$_{3}$ × B$_{2}$ , where B$_{2}$ is a cigar-shaped disk. This is illustrated in Fig. 1 below. ds 2 = −$^{(}$ 1 − ℓ 2 ρ 2 ) dt 2 +$^{(}$1 − ℓ 2 ρ 2 ) − 1 dρ 2 + ρ 2 $^{(}$dψ 2 + sin 2 ψ d Ω 2 2 ) . (1) ds 2 = − r 2 r 2 + ℓ $_{2}$dt 2 + dr 2 + $^{(}$r 2 + ℓ 2 $^{) (}$dψ 2 + sin 2 ψ d Ω 2 2 ) . (2) t → iℓy ψ → it + π 2 (3) ds 2 = r 2 1 + r $^{2}$/ℓ$_{2}$dy 2 + dr 2 + $^{(}$r 2 + ℓ 2 $^{) (}$− dt 2 + cosh 2 t d Ω 2 2 ) . (4) ds 2 ≈ r $^{2}$dy2 + dr 2 + ℓ 2 $^{(}$− dt 2 + cosh 2 t d Ω 2 2 ) , (5) ds 2 ≈ ℓ $^{2}$dy2 + dr 2 + r 2 $^{(}$− dt 2 + cosh 2 t d Ω 2 2 ) , (6) 2