Abstract
In response to Wheeler’s challenge to find an element that is: “something that itself has no localization in space and time…pure knowledge … an atom of information” we suggest to account for Information as a di-mension. Its degrees of freedom are arithmetical (+-) and logical (if-then) forward and backward steps. While Space refers to gaps in distance, Time refers to change in instances, Information refers to a sequence of notions measured by the number of steps made (or bytes used) by a computer in order to perform (de-scribe or solve) a certain logical sentence or a sequence of logical sentences. In the attempt to quantifiably formulate the incorporation of Information into physical laws, we refer to Hamiltonian extended stationary principle in terms of Space, Time and an additional degree of freedom, suggested as an information state. The obtained Euler equation is demonstrated for the case of a thin rod under longitudinal vibrations, investi-gated by dimensionless analysis. It is shown that depending on the value of information and its rate, one may obtain dominant forms conforming to Poison’s equation in Space vs Information, wave equation in Time vs Information and the expected wave equation in Time vs Space.
Highlights
Information “If we’re ever going to find an element of nature that explains space and time, we surely have to find something that is deeper than space and time—something that itself has no localization in space and time
In response to Wheeler’s challenge to find an element that is: “something that itself has no localization in space and time...pure knowledge ... an atom of information” we suggest to account for Information as a dimension
While Space refers to gaps in distance, Time refers to change in instances, Information refers to a sequence of notions measured by the number of steps made by a computer in order to perform a certain logical sentence or a sequence of logical sentences
Summary
Information “If we’re ever going to find an element of nature that explains space and time, we surely have to find something that is deeper than space and time—something that itself has no localization in space and time. The evolution of the universe is along a three dimensional continuum of Space-Time-Information, having 11 degrees of freedom The introduction of this new dimension enables to answer a question that many outstanding physicists came up with and which Albert Einstein [3] brought up in his lecture before the Prussian Academy of Sciences, namely: “How can it be that mathematics, being after all a product of human thought which is independent of experience, is so admirably appropriate to the objects of reality? In Einstein’s words: “In my opinion the answer to this question is, briefly, this: as far as the propositions of mathematics refer to reality, they are not certain; and as far as they are certain, they do not refer to reality [3] In his Herbert Spencer lecture at Oxford, Einstein [4] manifested his faith in mathematics as the skeleton of the edifice of nature, and the power of abstract mathematical thought to reveal the secrets of the laws interconnecting our observation of natural phenomena. Running back the “motion picture”, namely turning expansion to contraction on space-time dimensions brought cosmologists to conclude that all started with a singular event, namely the Big Bang, after which the cosmos expands continuously to this day and into the future
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
