
TL;DR
This paper demonstrates that fundamental quantum mechanics principles, like the Heisenberg uncertainty, can be derived from holography in flat space, linking entropy bounds to quantum behavior without relying on gravitational backreaction.
Contribution
It shows that the covariant entropy bound in flat space reduces to the Bekenstein bound, which predicts quantum uncertainty without involving Newton's constant.
Findings
Heisenberg uncertainty principle is derived from holography.
The covariant entropy bound reduces to the Bekenstein bound in flat space.
Quantum mechanics can be linked to holographic entropy bounds.
Abstract
We point out that aspects of quantum mechanics can be derived from the holographic principle, using only a perturbative limit of classical general relativity. In flat space, the covariant entropy bound reduces to the Bekenstein bound. The latter does not contain Newton's constant and cannot operate via gravitational backreaction. Instead, it is protected by - and in this sense, predicts - the Heisenberg uncertainty principle.
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