Algebra Argumentation Physics 
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.
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. Despite this, however, fundamental physics always seemed to resist its advance. The Path to a New Paradigm.
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Stephen Wolfram
NOVEMBER 10, 2021
It’s yet another surprising construct that’s arisen from our Physics Project. In the language of our Physics Project, it’s the ultimate limit of all rulial multiway systems. And here is a rulial multiway system made from hypergraph rewriting of the kind used in our Physics Project , using all rules with signature : ✕.
Stephen Wolfram
JUNE 28, 2023
And, yes, when you try to run the function, it’ll notice it doesn’t have correct arguments and options specified. But what if we ask a question where the answer is some algebraic expression? But perhaps even more common are surface integrals, representing for example total flux through a surface. And in Version 13.3
Stephen Wolfram
SEPTEMBER 27, 2024
Beginning about five years ago—particularly energized by our Physics Project —I started looking at harvesting seeds I’d sown in A New Kind of Science and before. Our modern Wolfram Language tools—as well as ideas from our Physics Project—provided some new directions to explore. But I still thought I pretty much knew what we’d find.
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. Despite this, however, fundamental physics always seemed to resist its advance. The Path to a New Paradigm.
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.) In Version 3.0
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