Definition of a Lorentzian Wormhole

In summary, Matt Visser defines a traversable wormhole as a compact region in Minkowski spacetime with a topology of the form R × Σ, where Σ is a three-manifold with nontrivial topology and a boundary of the form S2. The hypersurfaces Σ are all spacelike. This means that the region contains a quasipermanent intrauniverse wormhole.
  • #1
Falcus
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I was reading into traversable wormholes when I came across this definition from Matt Visser; 'If aMinkowski spacetimecontains a compact region Ω, and if the topology of Ω is of the form Ω ~ R × Σ, where Σ is a three-manifold of the nontrivial topology, whose boundary has topology of the form ∂Σ ~ S2, and if, furthermore, thehypersurfacesΣ are all spacelike, then the region Ω contains a quasipermanent intrauniverse wormhole'. My knowledge of relativity is extremely minimal as I am currently studying A levels. I was wondering if someone could break this down for me? I have come across a lot of the terminology before and didn't understand it at the time so thought maybe it was finally time to ask.

Thanks in advance
Falcus
 
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  • #2
Falcus said:
I came across this definition from Matt Visser

Can you give a reference to the specific article or paper? It would help to have more context.
 
  • #3
PeterDonis said:
Can you give a reference to the specific article or paper? It would help to have more context.

I am guessing the book : Lorentzian wormholes
 
  • #4

FAQ: Definition of a Lorentzian Wormhole

What is a Lorentzian Wormhole?

A Lorentzian Wormhole is a hypothetical tunnel-like structure in space-time that connects two distant points in the universe. It is a concept derived from Einstein's theory of General Relativity, and it is believed to have the potential to allow for faster-than-light travel.

How is a Lorentzian Wormhole different from a Black Hole?

Unlike a Black Hole, which is a collapse of matter and energy that traps everything within its event horizon, a Lorentzian Wormhole is a passage through space-time that can potentially be navigated by objects or information. It is also believed to have two distinct mouths, whereas a Black Hole only has one.

What is the significance of the term "Lorentzian" in the name "Lorentzian Wormhole"?

The term "Lorentzian" refers to the Lorentz Transformations, a set of equations developed by physicist Hendrik Lorentz to describe the relationship between space and time in Einstein's theory of Special Relativity. These transformations are crucial in understanding the properties and behavior of a Lorentzian Wormhole.

Can a Lorentzian Wormhole actually exist in our universe?

Currently, there is no evidence to suggest that a Lorentzian Wormhole exists in our universe. However, some theoretical models and mathematical calculations suggest that they could potentially exist, but they would require exotic forms of matter and energy that have not been observed in nature.

What are some potential uses of a Lorentzian Wormhole?

If a Lorentzian Wormhole were to exist and could be navigated, it could potentially allow for faster-than-light travel and communication, making it a valuable tool for space exploration and interstellar travel. It could also potentially provide a way to travel back in time, although this concept is still highly speculative and controversial in the scientific community.

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