Part 4/9:
Bekenstein and Hawking’s contributions illuminated a remarkable relationship between entropy and area when it comes to black holes. They determined that the maximum amount of information—or entropy—contained within a black hole is proportionate to its surface area rather than its volume. Specifically, the entropy is derived using the formula:
[ S = \frac{A}{4 \hbar G} ]
where ( S ) is entropy, ( A ) is the area of the black hole's event horizon, ( \hbar ) refers to Planck's constant, and ( G ) is the gravitational constant. This relationship stands in stark contrast to classical physics, where the amount of information typically scales with volume.