Emergence and Expansion of Cosmic Space as due to the Quest for Holographic Equipartition

TL;DR

This paper proposes that the accelerated expansion of the universe is driven by the difference in degrees of freedom between the boundary surface and the bulk, linking holographic principles to cosmic evolution.

Contribution

It introduces a new equation connecting holographic equipartition to the emergence and expansion of space, offering a novel paradigm for cosmology.

Findings

The proposed equation reproduces standard universe evolution.

The difference in degrees of freedom drives cosmic acceleration.

Provides a holographic perspective on space emergence.

Abstract

One possible interpretation of the holographic principle is the equality of the number of degrees of freedom in a bulk region of space and the number of degrees of freedom on the boundary surface. It is known that such an equality is maintained on equipotential surfaces in any static spacetime in the form of an equipartition law N_{bulk}= N_{sur}. In the cosmological context, the de Sitter universe obeys the same holographic equipartition. I argue that the difference between the surface degrees of freedom and the bulk degrees of freedom in a region of space (which has already emerged) drives the accelerated expansion of the universe through a simple equation dV/dt = (N_{sur} - N_{bulk}) where V is the Hubble volume in Planck units and t is the cosmic time in Planck units. This equation reproduces the standard evolution of the universe. This approach provides a novel paradigm to study the emergence of space and cosmology and has far reaching implications.