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The first step to understanding physics is to identify the relevant variables. Columbia Engineers developed an AI program to address a longstanding problem: is it possible to identify state variables only from high-dimensional observational data. Using video footage of various physical dynamic systems, the algorithm discovers the intrinsic dimensions of the observed dynamics and identifies a candidate set of state variables — with no prior knowledge of the underlying physics. Energy, Mass, Speed. These three variables make up Einstein’s iconic equation E=MC 2 . But how did Einstein know about these concepts? The first step to understanding physics is to identify the relevant variables. Without the concepts of energy, mass, and velocity, even Einstein could not have discovered relativity. But can such a variable be found automatically? Doing so can greatly speed up scientific discovery. This is the question that researchers at Columbia Engineering are asking on a new ...

New York, NY—July 7, 2022—As our devices get smaller, the use of molecules as key components in electronic circuits is becoming increasingly critical. Over the past 10 years, researchers have been trying to use single molecules as conducting wires because of their small scale, different electronic characteristics, and high tunability. But in most molecular wires, as the length of the wire increases, the efficiency of transmitting electrons across the wire decreases exponentially. These limitations make it very challenging to construct long molecular wires longer than nanometers. which actually conducts electricity well. Columbia researchers announced today that they have constructed a nanowire that is 2.6 nanometers long, exhibits an unusual increase in conductance as the wire length increases, and has quasi-metallic properties. Its excellent conductivity holds great promise for the field of molecular electronics, enabling electronic devices to become smaller. The study was publi...