Some thoughts on constructing a microscopic theory with holographic degrees of freedom

Holographic principle states that the maximum entropy of a system is its boundary area in Planck units. However, such a holographic entropy cannot be realized by the conventional quantum field theory. We need a new microscopic theory which naturally possesses all the holographic degrees of freedom. In this paper, we provide some preliminary thoughts on how to construct a theory with holographic degrees of freedom. It may shed light on the understanding of quantum properties of gravity and the early stage of the universe.