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Career Exploration: Mathematics

PCS Edventures

Calculus , which calculates rates of change and infinites. Science, technology, engineering and arts careers often rely upon at least one of these math specializations, so jobs with a math focus are often talked about under the other STEAM categories. Energy Analyst/Auditor. What does an energy auditor do?” Fraud Analyst.

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Computational Foundations for the Second Law of Thermodynamics

Stephen Wolfram

And this means that we’re not able to “see through the computational irreducibility”—with the result that the behavior we see “looks random to us”. With hard spheres there’s built-in conservation of energy, momentum and number of particles. The Second Law then tried to characterize the nature of the energy associated with heat.

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Even beyond Physics: Introducing Multicomputation as a Fourth General Paradigm for Theoretical Science

Stephen Wolfram

In physics, energy (and mass) act as a “source of gravity”. But in our models of physics, energy has a rather simple (and generic) interpretation : it is effectively just the “density of activity” in the multicomputational system—or the number of events in a certain “region of space”. What about phenomena like gravity?

Physics 64
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Multicomputation: A Fourth Paradigm for Theoretical Science

Stephen Wolfram

In physics, energy (and mass) act as a “source of gravity”. But in our models of physics, energy has a rather simple (and generic) interpretation : it is effectively just the “density of activity” in the multicomputational system—or the number of events in a certain “region of space”. What about phenomena like gravity?

Science 64
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The Physicalization of Metamathematics and Its Implications for the Foundations of Mathematics

Stephen Wolfram

And later we’ll talk about how the “density of activity” in the branchial graph is the analog of energy in physics, and how it can be seen as “deflecting” the path of geodesics, just as gravity does in spacetime. The basic phenomenon is that geodesics are deflected by the presence of “energy”, in effect being “attracted to it”.

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Remembering the Improbable Life of Ed Fredkin (1934–2023) and His World of Ideas and Stories

Stephen Wolfram

But at a personal and social level it was still always a lot of fun being around Ed and being exposed to his unique intense opportunistic energy—with its repeating themes but ever-changing directions. And there was one way in which Ed and I were very much aligned: both of our lives were deeply influenced by computers and computing.

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Games and Puzzles as Multicomputational Systems

Stephen Wolfram

To make a closer analogy with quantum mechanics one can start thinking about combining different chunks of “multiway game play”, and trying to work out a calculus for how those chunks fit together. And presumably there’ll also be an analog of energy in game space, associated with the “density of activity” at different places in game space.

Physics 71