Beyond physics: applying the Wolfram model in biology, chemistry, mathematics with Jonathan Gorard

Published 2024-03-09
In this final excerpt from our conversation in October 2022, Jonathan Gorard explains how ideas from Wolfram Physics can be applied in fields beyond physics, including biology, chemistry and mathematics.

He describes the concept of compositionality, and digs deeper into why the hypergraph is able to model so much of our universe.



Jonathan Gorard
• Jonathan Gorard at The Wolfram Physics Project www.wolframphysics.org/people/jonathan-gorard/
• Jonathan Gorard on Twitter twitter.com/getjonwithit
• The Centre for Applied Compositionality www.appliedcompositionality.com/
• The Wolfram Physics Project www.wolframphysics.org/

Concepts mentioned by Jonathan:
• General Relativity en.wikipedia.org/wiki/General_relativity
• Quantum Mechanics en.wikipedia.org/wiki/Quantum_mechanics
• Causal graphs www.wolframphysics.org/technical-introduction/the-…
• Space-like separation phys.libretexts.org/Bookshelves/Relativity/Spaceti…
• Multiway system mathworld.wolfram.com/MultiwaySystem.html
• Phase space en.wikipedia.org/wiki/Phase_space
• Schrödinger equation en.wikipedia.org/wiki/Schrödinger_equation
• Hilbert space en.wikipedia.org/wiki/Hilbert_space
• Kronecker product en.wikipedia.org/wiki/Kronecker_product
• Multicomputation writings.stephenwolfram.com/2021/09/multicomputati…
• Compositionality en.wikipedia.org/wiki/Principle_of_compositionalit…
• Applied category theory en.wikipedia.org/wiki/Applied_category_theory
• Symmetric monoidal category en.wikipedia.org/wiki/Symmetric_monoidal_category
• Partial differential equations en.wikipedia.org/wiki/Partial_differential_equatio…
• Zermelo–Fraenkel set theory en.wikipedia.org/wiki/Zermelo–Fraenkel_set_theory
• Universal Turing machine en.wikipedia.org/wiki/Universal_Turing_machine
• Computational universality en.wikipedia.org/wiki/Turing_completeness
• Cellular automaton en.wikipedia.org/wiki/Cellular_automaton
• Ontology en.wikipedia.org/wiki/Ontology

People mentioned by Jonathan:
• Rudolph Carnap en.wikipedia.org/wiki/Rudolf_Carnap
• Vienna Circle en.wikipedia.org/wiki/Vienna_Circle



The Last Theory lasttheory.com/ is hosted by Mark Jeffery markjeffery.com/ founder of Open Web Mind www.openwebmind.com/

Prefer to listen to the audio? Search for The Last Theory in your podcast player, or listen at lasttheory.com/podcast/057-beyond-physics

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All Comments (21)
  • @stephan6442
    Already curious to see where this project will be in 5 years. Exciting it is!
  • Yep! Been trying to tell people that this stuff is applicable, today right now, and that I've been applying its concepts for the past three years in my own life and its led to incredible incites and creations. There's like three or four different perspectives you can take when approaching the physics model...their not completely separate, but its more like they extract a certain quality of the model and use it as the main fulcrum in creating a system or modeling a system. For instance the idea of eliding space or time, is not unique to just space and time, its a symmetric property of the wolfram models construction (combinatorial structure) and you can "elide" any aspect of a system. A great example i use when making comments and talking to people about this project, is that...this comment "exists" eternally to you right now...similiar to a mini-ruliad...where all of its words just "exist" all at once. However our brains can only, by virtue of being human, read each word one at a time...going through each word in sequence and this is how we process the information. But you can imagine that...if our brains worked more like an ant colony...where each ant is doing some logic operation on a word at the same time, then they would be able to read this comment, as if it were like looking at an image or painting on a wall...like how our eyes actually view the world around us. It's a strange thing, that our eyes can take in so much detail instantly...but when we read a book we lumber through each word step by step...why do we process the two things differently? I believe that there is a application there, that can allow us read thousands of times faster, by exploiting this ability to multi-compute the words on the page. Even stranger still, is that in order to write the comment on this page, that you read...i have to write it one word at a time, through time. But what if the process of writing could also be elided in the same way? That if i only i could write this comment near instantly, if i was able to perform logic operations in parallel like the ants, except using that parallelism to express my thoughts. It would basically be precursor telepathy. The second one is a lot more radical than the first, but they both are deriving from the same line of logic, which is why i think both are possible. and ts only the tip of the iceberg. That's just one of the four (or more) ways i've found you can exploit the properties of the wolfram model to model things. Another way is thinking about systems as if they were all turing universal machines, trying to interface with each other which makes them all sorta like black boxes...so this route takes advantage of the principle of computational equivelence side of things...where every system in some sense "has the answer" to any question you could ask it. And your job is to "tell the turing machine" how to get answers that you care about inside the turing machine, and it must be thought about as if you are that other turing machine. In this way, all systems are just transformation procedures being done...almost like your doing rotations (but more generally just transformations) to the ruliad object because one of those rotations is going to have a direct path to the answer your looking for (similiar to criticality or finding phase transition points where different scales align). These transformations are themselves rules. So rules = transformations = symmetries is basically what that boils down to. I really like this trifecta because when i go to think about what rules i need to make a system that im interested in, i imagine myself rotating this object...visualizing this more geometric, rotating around analog as a change in reference frame and therefor a different perspective or approach to the system...It's like a literatal way to think about how to move around in ruliad space.
  • @MelindaGreen
    Reality and our models for it, are intimately connected through us. We choose what parts of reality to call important, and we model it through that lens, so it should be no surprise that it works well for our needs.
  • @hankseda
    Great video 👏 appreciate flashing names and technical terms at the bottom, very helpful 👍
  • @nealesmith1873
    It seems that modelling the universe as a graph is like a shot in the dark. The fact that it happens to hit is highly significant. This just might be right!
  • @frun
    Rewriting rule = renormalization group flow.
  • Nice. But in the end of the previous episode you promised to tackle the question why some people don't like Stephen Wolfram. ))
  • @SB324
    Keep it up Jonathan!
  • @nealesmith1873
    One of my big concerns is that points in space may be related in multiple ways....gravitationally, electrically, etc. How can a single edge between nodes represent this?
  • @paxdriver
    2:51 I never noticed that before about the irreversibility of entangled particles. Is that compositionality if they are combined one state system and if either particle though carrying different spins can't be distinguished from one another? They separate parts, but whole and identical.. It's kind of an odd nomenclature the more I think about it.
  • @SB324
    Have you gotten Jonathan to talk about time? A series, B series, something else?
  • @WizardSkyth
    Not bad. The direction he's driving at is correct.
  • Hello Jonathan, I'm not very familiar with Wolfram's model and you say it's applicable. Please tell me something about the predictive power of this model and could you give and example where it surpasses the "standard" physics?
  • @merlepatterson
    There's been a Wolfram/Weinstein discussion, wonder what the future holds for a possible Gorard/Weinstein discussion event? Would be interesting.
  • @timedowntube
    This is actually so fucking exciting. I astound myself at what a nerd I am sometines....
  • @carly09et
    This is JUST '" dust bunnies"', how do you derive an entropy? {what gives it a paratime(time like order) metric} ...