Abstract
Information is intricately woven into the fabric of physical systems, implying a profound connection between the nature of information and the underlying physics governing computational processes. This deep-seated relationship was illuminated by Landauer in 1961, who revealed that erasing a mere bit of information demands an expenditure of energy equivalent to kBTln2, underscoring the thermodynamic costs associated with information processing. In this investigation, Landauer’s principle is applied within the framework of Bekenstein–Hawking entropy. The study demonstrates that the introduction of a single bit of information into a black hole is related to a corresponding tangible increase of one unit of the horizon, namely, 4l2pln2, aligning seamlessly with the holographic principle.
