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.

Black holes curve space and time around them, creating a gravitational field that affects the movement of objects nearby. When two black holes orbit each other, they create waves in the shape of space that follow their movement, eventually merging into a larger black hole that emits gravitational waves as it settles down.

The event horizon of a black hole is a boundary beyond which nothing can escape, not even light. It's a point in spacetime that separates events that can affect an outside observer from those that cannot.

The information that falls into a black hole is stored on its horizon in a way that cannot be easily reconstructed, resembling a hologram rather than a photograph.

When two black holes merge, they emit gravitational waves, and the final black hole's mass is less than the sum of the original black holes due to energy radiated away as gravitational waves.

The holographic principle suggests that the information falling into a black hole can be thought of as both falling in and being stored on its horizon.

The relationship between black holes and galaxies is complex, with supermassive black holes likely playing a critical role in the formation and evolution of galaxies, possibly influencing their growth through jets of material they emit.

The information paradox arises because if a particle is created just outside a black hole's event horizon, and one falls in while the other escapes, the one that falls in becomes real and cannot return to the vacuum, leading to a loss of information.

The final mass of a merged black hole is less than the sum of the two original black holes due to the energy radiated away in the form of gravitational waves, which is not detectable as light but rather as ripples in spacetime.