Futurum

FEBRUARY 9, 2023

Simulation and statistical models (SSMs) are types of mathematical models used in ecology. In forest ecology, SSMs use data on the absence, presence and/or abundance of plant and animal species in the current environment, combined with other information such as climate, physical features and land-use.

Research 78

Research Research Science Sciences 78

Stephen Wolfram

SEPTEMBER 29, 2023

And it’s all based on ideas from our Physics Project —and on a fundamental correspondence between what’s happening at the lowest level in all physical processes and in expression evaluation. And this is where we can start making an analogy with physics. And now there’s a deep analogy to physics.

Physics 108

Physics Computer Argumentation Construction 108

Stephen Wolfram

MARCH 5, 2024

Three centuries ago science was transformed by the idea of representing the world using mathematics. A key idea—ultimately supported at a foundational level by our Physics Project —is that we can think of everything that happens as a computational process. The system is doing a computation to determine its behavior.

Science 122

Science Sciences Computer Mathematics 122

Stephen Wolfram

JANUARY 31, 2023

But by the end of the 1800s, with the existence of molecules increasingly firmly established, the Second Law began to often be treated as an almost-mathematically-proven necessary law of physics. There were still mathematical loose ends, as well as issues such as its application to living systems and to systems involving gravity.

Energy 88

Energy Physics Argumentation Mathematics 88

Stephen Wolfram

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Physics 64

Physics Science Sciences Mathematics 64

Stephen Wolfram

FEBRUARY 2, 2023

Building on an earlier interest in space and spacecraft , I’d gotten very interested in physics, and was trying to read everything I could about it. There were several shelves of physics books at the local bookstore. The other books I’d read had all basically said “physics works like this”. The lambda hyperon.

Physics 95

Physics Computer Mathematics Science 95

Stephen Wolfram

SEPTEMBER 9, 2021

One might have thought it was already exciting enough for our Physics Project to be showing a path to a fundamental theory of physics and a fundamental description of how our physical universe works. Part of what this achieves is to generalize beyond traditional mathematics the kind of constructs that can appear in models.

Science 64

Science Sciences Physics Mathematics 64

Stephen Wolfram

AUGUST 22, 2023

Indeed, so confident was he of his programming prowess that he became convinced that he should in effect be able to write a program for the universe—and make all of physics into a programming problem. It didn’t help that his knowledge of physics was at best spotty (and, for example, I don’t think he ever really learned calculus).

Computer 67

Computer Physics Science Sciences 67

Stephen Wolfram

FEBRUARY 3, 2023

The Second Law of thermodynamics is considered one of the great general principles of physical science. Sometimes textbooks will gloss over everything; sometimes they’ll give some kind of “common-sense-but-outside-of-physics argument”. But our Physics Project has changed that picture. Why does the Second Law work?

Computer 92

Computer Energy Physics Construction 92

Stephen Wolfram

JANUARY 9, 2024

So, for example, here’s a graphical representation of a simple arithmetic evaluation, with TraceOriginal → True : And here’s the corresponding “pruned” version, with TraceOriginal → Automatic : (And, yes, the structures of these graphs are closely related to things like the causal graphs we construct in our Physics Project.)

Computer 102

Computer Calculus Construction Accessibility 102

Stephen Wolfram

JUNE 29, 2022

You can give Threaded as an argument to any listable function, not just Plus and Times : &#10005. we’re adding SymmetricDifference : find elements that (in the 2-argument case) are in one list or the other, but not both. If we define a month “physically”, it corresponds to a certain fractional number of days: &#10005.

Calculus 114

Calculus Construction Computer Argumentation 114

Stephen Wolfram

MAY 20, 2021

But sometimes it’s much more convenient to get the subgraph (and in fact in the formalism of our Physics Project that subgraph—that we view as a “ geodesic ball ”—is a rather central construct). Sometimes the result involves explicit mathematical functions: &#10005. And for some things that’s exactly what one wants. For Version 12.3

Computer 52

Computer Construction Physics Technology 52