Are wormholes mathematically possible?
Are wormholes mathematically possible?
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Wormholes are indeed mathematically possible, according to several experts in theoretical physics. Here are some key points from their discussions:

Mathematical Feasibility: Neal deGrasse Tyson and Jenny Greene discuss that wormholes are mathematically viable within the frameworks of general relativity. However, they highlight that maintaining a stable wormhole, especially keeping it open, is a critical challenge. It might require exotic forms of matter or energy, such as negative gravitational energy, which we currently do not know exists 1.

Einstein's Equations: Brian Greene explains that while wormholes are permitted by Einstein's equations, their existence in reality is not confirmed. Einstein himself acknowledged that just because something is mathematically possible doesn't mean it exists in reality. Greene further describes hypothetical scenarios where wormholes could be manipulated to create time travel effects, though these are highly speculative 2.

Practical Limitations: Sean Carroll notes that practical, macroscopic wormholes likely do not exist, as they would collapse without some form of exotic energy to stabilize them. However, in theory, if you could imagine all hypothetical powers being granted, you could manipulate wormholes to connect distant points in space 3.
Wormholes and Possibilities
Jenny and Neil discuss the theoretical concept of wormholes and the mystery surrounding their existence. Jenny suggests a potential connection between wormholes and dark matter, leaving the door open for future discoveries in the realm of astrophysics.StarTalk Radio
Black Hole Bonanza: StarTalk Live! With Neil deGrasse Tyson, Janna Levin, & Jenny Greene1234 
String Theory and Stability: Michio Kaku mentions that string theory may help calculate whether wormholes are stable. He notes that famed physicist Stephen Hawking believed wormholes to distant points in the universe might be possible, but was skeptical about time travel to the past through wormholes 4.
To sum up, while wormholes are mathematically possible and fit within some theoretical frameworks, their realworld existence and stability remain unproven. Further discoveries in physics, particularly in understanding dark energy or negative matter, might be necessary to verify their feasibility.