The Navier-Stokes equations govern fluid flow for incompressible fluids like water, and the Navier-Stokes regularity problem asks whether a smooth velocity field can ever concentrate to the point of becoming infinite, which would indicate a singularity.

Inside the event horizon, the nature of space and time changes dramatically. As an object falls into a black hole, it experiences time differently, with their future leading them inevitably to the singularity, which is a point in time rather than space from their perspective.

Mathematicians care about whether something holds true 100% of the time, unlike most fields where 99.99% suffices. This is crucial in fluid dynamics, where we need to understand if there are special initial states that could lead to blow-up scenarios.

Singularity University was created to bring together people to plan for the future of technology and its implications, acknowledging that the future is coming.

The idea of a single self is challenged by split-brain studies, which show that different conscious experiences can arise within the same body, leading to the conclusion that consciousness may not be a singular entity.

String theory is currently the only theory that has survived scrutiny and attempts to unify the theories of the small and the big in physics.

If we conduct a thought experiment that validates the many worlds theory, it could provide new arguments against alternative explanations that haven't been considered yet.

I propose that gravity plays a role in collapsing the wave function, suggesting that the energy cost of creating a superposition can lead to a collapse in a very short time.

The resolution to the information paradox may involve allowing non-local connections between particles through wormholes while preserving quantum mechanics, suggesting that gravity emerges from a quantum description and isn't fundamental but rather a result of deeper quantum mechanics.