Complex systems and cellular automata In 1983, Wolfram left for the School of Natural Sciences of the
Institute for Advanced Study in Princeton. By that time, he was no longer interested in particle physics. Instead, he began pursuing investigations into
cellular automata, mainly with computer simulations. He produced a series of papers investigating the class of
elementary cellular automata, conceiving the
Wolfram code, a naming system for one-dimensional cellular automata, and a
classification scheme for the complexity of their behaviour. He conjectured that the
Rule 110 cellular automaton might be
Turing complete, which a research assistant to Wolfram,
Matthew Cook, later proved correct. Wolfram sued Cook and temporarily blocked publication of the work on Rule 110 for allegedly violating a
non-disclosure agreement until Wolfram could publish the work in his controversial book
A New Kind of Science. Wolfram's cellular-automata work came to be cited in more than 10,000 papers. In the mid-1980s, Wolfram worked on simulations of physical processes (such as
turbulent fluid flow) with cellular automata on the
Connection Machine alongside
Richard Feynman and helped initiate the field of
complex systems. In 1984, he was a participant in the Founding Workshops of the
Santa Fe Institute, along with Nobel laureates
Murray Gell-Mann,
Manfred Eigen, and
Philip Warren Anderson, and future laureate
Frank Wilczek. In 1986, he founded the Center for Complex Systems Research (CCSR) at the
University of Illinois Urbana–Champaign. In 1987, he founded the journal
Complex Systems. SMP was further developed and marketed commercially by Inference Corp. of Los Angeles during 1983–1988.
Mathematica In 1986, Wolfram left the
Institute for Advanced Study for the
University of Illinois Urbana–Champaign, where he had founded their Center for Complex Systems Research, and started to develop the computer algebra system
Mathematica, which was released on 23 June 1988, when he left academia. In 1987, he founded
Wolfram Research, which continues to develop and market the program. which presents an empirical study of simple computational systems. Additionally, it argues that for fundamental reasons these types of systems, rather than traditional mathematics, are needed to model and understand complexity in nature. Wolfram's conclusion is that the universe is discrete in its nature, and runs on fundamental laws that can be described as simple programs. He predicts that a realization of this within scientific communities will have a revolutionary influence on physics, chemistry, biology, and most other scientific areas, hence the book's title. The book was met with skepticism and criticism that Wolfram took credit for the work of others and made conclusions without evidence to support them.
Wolfram Alpha computational knowledge engine In March 2009, Wolfram announced Wolfram Alpha, an
answer engine. Wolfram Alpha launched in May 2009, and a paid-for version with extra features launched in February 2012 that was met with criticism for its high price, which later dropped from $50 to $2. The engine is based on
natural language processing and a large library of rules-based algorithms. The
application programming interface allows other applications to extend and enhance Wolfram Alpha.
Touchpress In 2010, Wolfram co-founded
Touchpress with
Theodore Gray, Max Whitby, and John Cromie. The company specialised in creating in-depth premium apps and games covering a wide range of educational subjects designed for children, parents, students, and educators. Touchpress published more than 100 apps. The company is no longer active.
Wolfram Language In March 2014, at the annual
South by Southwest (SXSW) event, Wolfram officially announced the
Wolfram Language as a new general
multi-paradigm programming language, though it was previously available through Mathematica and not an entirely new programming language. The documentation for the language was pre-released in October 2013 to coincide with the bundling of
Mathematica and the Wolfram Language on every
Raspberry Pi computer with some controversy because of the proprietary nature of the Wolfram Language. While the Wolfram Language has existed for over 30 years as the primary programming language used in
Mathematica, it was not officially named until 2014, and is not widely used.
Wolfram Physics Project In April 2020, Wolfram announced the "Wolfram Physics Project" as an effort to reduce and explain all the laws of physics within a paradigm of a
hypergraph that is transformed by minimal
rewriting rules that obey the
Church–Rosser property. The effort is a continuation of the ideas he originally described in
A New Kind of Science. Wolfram claims that "From an extremely simple model, we're able to reproduce special relativity, general relativity and the core results of quantum mechanics." Physicists are generally unimpressed with Wolfram's claim, and say his results are non-quantitative and arbitrary. == Personal interests and activities ==