1857. After the fire of mutiny has swept through British India, young Lieutenant Victor Narraway arrives at a battered military base at Cawnpore. It is just two weeks before Christmas, but no one is able to celebrate: they have been betrayed. A soldier under arrest for dereliction of duty has killed a guard and escaped to join the rebels, taking crucial information that led to the massacre of nine men on patrol. Someone must have helped him, and medical orderly John (...) Tallis is the only man unaccounted for at the time. He is now on trial for his life, and Narraway is commanded to defend him. Narraway knows that his is an impossible task. The British Army needs justice to be carried out in full, and there seems no doubt of Tallis's guilt. But Narraway cannot see any motive for his actions. Will an innocent man hang before Christmas? (shrink)

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We make a thorough study of the regions near finite-order metric-singularity boundaries of static, spherically symmetric spacetimes. After distinguishing curvature singularities from other types of metric breakdown, we examine the eigenvalues of the energy tensor near the singularities for positivity and energy dominance, find the causal class of the t-translation (“static”) Killing field, and ascertain the presence or absence of timelike, null, and spacelike geodesic incompleteness for each spacetime. For a certain subclass of spacetimes, we also show the completeness of (...) all timelike and spacelike curves despite the superficial failure of the metric. (shrink)

Scale invariance provides a principled reason for the physical importance of Hilbert space, the Virasoro algebra, the string mode expansion, canonical commutators and Schrödinger evolution of states, independent of the assumptions of string theory and quantum theory. The usual properties of dimensionful fields imply an infinite, projective tower of conformal weights associated with the tangent space to scale-invariant spacetimes. Convergence and measurability on this tangent tower are guaranteed using a scale-invariant norm, restricted to conformally self-dual vectors. Maps on the resulting (...) Hilbert space are correspondingly restricted to semi-definite conformal weight. We find the maximally- and minimally-commuting, complete Lie algebras of definite-weight operators. The projective symmetry of the tower gives these algebras central charges, giving the canonical commutator and quantum Virasoro algebras, respectively. Using a continuous, m-parameter representation for rank-m tower tensors, we show that the parallel transport equation for the momentum-vector of a particle is the Schrödinger equation, while the associated definite-weight operators obey canonical commutation relations. Generalizing to the set of integral curves of general timelike, self-dual vector-valued weight maps gives a lifting such that the action of the curves parallel transports arbitrary tower vectors. We prove that the full set of Schrödinger-lifted integral curves of a general self-dual map gives an immersion of its 2-dim parameter space into spacetime, inducing a Lorentzian metric on the parameter space. This immersion is shown to satisfy the full variational equations of open string. (shrink)