Historical research guide · 0898 · 1996
Warp drive and causality
Allen E. Everett
In one minute
Two years before this paper, Miguel Alcubierre had shown that general relativity itself permits a spacetime in which a ship sits still inside a bubble while the space ahead of it contracts and the space behind expands. The ship never moves faster than light through the space around it; the distance is what changes, so it arrives sooner than light would. Alcubierre added a conjecture — that the same techniques ought to allow closed loops in time as well. Allen Everett, at Tufts, checks that conjecture and finds it correct. His answer needs no extra ingredient: take Alcubierre’s own metric, make one simple modification, and closed causal loops become possible, meaning a path that returns to its own past. Everett is careful to separate his mechanism from the one Gott had found using cosmic strings; the two are not the same trick. Four pages, exactly argued, and they turn the warp bubble from a curiosity into a spacetime whose causal structure has to be worked out.
Connection
Chapter 4 collects the metric-engineering solutions and chapter 13 asks what they add up to; this paper is where the two meet. It says the Alcubierre geometry is rich enough to carry the deepest question in the subject, and it tells anyone designing a warp shell exactly which question they will have to answer.
From the source
The starting point is Alcubierre’s result, stated by Everett without hedging: within the framework of general relativity there exists a spacetime allowing travel at superluminal speeds, provided matter with a negative energy density — that is, a stress-energy below the ambient vacuum level — can exist. Everett takes the geometry as given and asks what else it implies.Author’s abstract, first sentence
Alcubierre had conjectured that similar techniques should make it possible to construct a theory containing closed causal loops, and therefore travel backwards in time. Everett’s paper exists to test that conjecture rather than to assume it, and the abstract says the outcome in one word: we verify this conjecture.Author’s abstract, first and second sentences
The construction is deliberately minimal, which is what gives the result its force. Everett exhibits a simple modification of Alcubierre’s model, requiring no additional assumptions, in which causal loops are possible. Nothing exotic is added on top of the warp metric; the loops follow from the metric already on the table.Author’s abstract, second sentence
The mechanism is a two-bubble argument. Everett and Roman later describe it in their own words while building the analogous case for Krasnikov tubes: two superluminal journeys, arranged so that the second returns along a path whose orientation differs from the first, compose into a trip that arrives before it departed. Their four-dimensional two-tube construction, they write, is closely analogous to the argument given in this paper for the Alcubierre case.Everett and Roman 1997, introduction and section 4, describing this paper
Everett draws one careful distinction. This mechanism for generating causal loops differs in essential ways from the one discovered by Gott using a pair of moving cosmic strings — a separate and much-discussed route to closed timelike curves. Keeping the two apart matters, because the objections raised against Gott’s construction do not transfer to this one.Author’s abstract, third sentence
What to watch: the paper turns superluminal metric engineering into a chronology question, and that question is live and being worked on. Hawking’s chronology-protection conjecture, the quantum inequalities that bound how much below-ambient energy can be gathered and for how long, and the newer positive-energy and constant-velocity warp solutions that avoid the exotic requirement altogether are all answers in progress. The result that would settle it is a warp-shell solution whose stress-energy stays within measured quantum bounds and whose causal structure is worked out, not assumed.Author’s abstract read as a whole, against the quantum-inequality and physical-warp-drive literature this library holds
The way in
https://doi.org/10.1103/PhysRevD.53.7365How to cite it
Allen E. Everett (1996) Warp drive and causality doi:10.1103/PhysRevD.53.7365