Principle of maximum force and holographic principle: two principles or one?

We show how the maximum force principle can be derived from the holographic principle and vice versa, thus demonstrating equivalence of the two principles. Information is material, i.e. it always needs a material carrier. Information is impossible without matter. Let us consider some physical system of macroscopic dimensions , the Universe for example, different parts of which contain some information. Let our task be to concentrate a part of the information available inside some finite volume during the shortest possible time interval. What principal limitations shall we face when performing this task? Concentration of information inside certain volume inevitably requires to concentrate its material carriers inside the same volume. The existing physical limitations on concentration of energy lead to direct forbidding of the excessive information concentration process. It is a direct consequence of the fact that the information must have a material carrier. In the most laconic form these two types of the limitations were formulated as the maximum force principle [1–3] and the holographic principle [4, 5]. The present paper attempts to prove the equivalence of these two principles or at least a deep connection between them. The Principle of Maximum Force states that the tension or force between two bodies cannot exceed the value