Hacker News resurfaces Dirac on mathematics and physics
A classical essay on how math and physics shape each other draws renewed attention and philosophical debate online.
What to know
- Paul Dirac's essay on how mathematical elegance guides physical discovery has sparked renewed philosophical discussion on Hacker News and Mastodon.
- Commenters debate whether Dirac's thesis holds: does mathematics actually converge with physics, or does mathematics simply follow its own abstract logic?
- The conversation extends to modern applications—whether AI's mathematical strength could accelerate physics discovery if trained to pose fundamental questions.
Mathematical elegance is a reliable guide to physical truth; beautiful math will predict real physics.
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“The whole success of the scheme is due to the fact that equations of simple form do seem to work.”
Xmd5a · Hacker News ↗
Dirac's thesis is unproven; mathematicians may not actually be aligned with physics as he claims.
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“I think, mathematics doesn't really try to match physics yet.”
GoblinSlayer · Hacker News ↗
The mathematics-physics connection warrants deeper exploration through modern frameworks and tools.
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“For those into deriving the laws of physics from pure math and game-of-life style iteration of simple rules, checkout the Wolfram Physics Project”
nikisweeting · Hacker News ↗
Paul Dirac Physicist and mathematician (historical figure)rramadass Hacker News user
How it unfolded 7 developments, newest first · click a bar or a number to jump postscomments
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Wikipedia article on mathematics-physics relationship posted to Hacker News
User vismit2000 submits the full Wikipedia article on the relationship between mathematics and physics, drawing renewed attention to the topic with a comprehensive overview of how the two fields have influenced each other historically.
“The book of nature is written in the language of mathematics.”
— Galileo Galilei, Physicist and mathematician · source -
For those into deriving the laws of physics from pure math and game-of-life style iteration of simple rules, checkout the Wolfram Physics Project:
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Commenter speculates AI could discover new physics through mathematics
3lambda suggests that because AI excels at mathematics, it should be effective at discovering new physics if taught to pose interesting questions.
“Given its strength in mathematics, it seems likely that AI should be of great help with discovering new physics. We just need to teach it to ask interesting questions.”
— 3lambda -
as an example of this, pretend probability is a velocity: https://www.mathpages.com/home/kmath216/kmath216.htmgoing beyond that page, think about beta distributions (and dirichlets). they are probability distributions about probabilities. try recentering the beta distribution between -1 and 1 first (representing c).going even further, recall the…
2 more of the top 3 · 3 posts in this stretch
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Given its strength in mathematics, it seems likely that AI should be of great help with discovering new physics. We just need to teach it to ask interesting questions.
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Did Dirac’s prediction that studying “beautiful” mathematics would lead to breakthroughs in the understanding of Physics pan out?
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Commenter invokes Occam's Razor as physics principle
Xmd5a quotes Dirac on simplicity in equations of motion and links to a paper formalizing Occam's Razor as a basis for physical theory.
“The dominating idea in this application of mathematics to physics is that the equations representing the laws of motion should be of a simple form.”
— Paul Dirac, Physicist · source -
> The dominating idea in this application of mathematics to physics is that the equations representing the laws of motion should be of a simple form. The whole success of the scheme is due to the fact that equations of simple form do seem to work. The physicist is thus provided with a principle of simplicity, which he can use as an instrument of…
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Commenter questions whether mathematics truly follows physics
GoblinSlayer raises a critical point: while Dirac argued mathematicians and physicists converge on the same truths, the reverse may not be quantifiable—mathematics may not actually be trying to match physics yet.
“This is quantifiable, right? Should be possible to measure how many mathematicians favor ideas like turbulence, macroscopic quantum physics, anthropic principle, analog geometry, finitism.”
— GoblinSlayer -
"I would like to put forward a suggestion as to how such a scheme might be realized. If we express the present epoch, 2 x 109 years, in terms of a unit of time defined by the atomic constants, we get a number of the order 1039, which characterizes the present in an absolute sense. Might it not be that all present events correspond to properties of…
1 more of the top 2 · 2 posts in this stretch
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>but as time goes on it becomes increasingly evident that the rules which the mathematician finds interesting are the same as those which Nature has chosenThis is quantifiable, right? Should be possible to measure how many mathematicians favor ideas like turbulence, macroscopic quantum physics, anthropic principle, analog geometry, finitism. I…
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Mastodon user shares Dirac essay link
User hkrn@mstdn.social reposts the Dirac essay URL to Mastodon, citing the Hacker News discussion.
“There is no God and Dirac is his prophet…”
— Wolfgang Pauli, Physicist (quoted by wolfi1) · source -
there is a quote from Pauli about Dirac : 'There is no God and Dirac is his prophet' Heisenberg and Dirac had different opinions on the existence of a god and Pauli, asked for his opinion, had the former to say
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- 2 days quiet
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Commenter links Wikipedia article on mathematics-physics relationship
rramadass follows up by pointing readers to the Wikipedia entry 'Relationship between Mathematics and Physics,' providing broader historical context alongside the Dirac essay.
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Dirac essay on mathematics-physics relationship shared to Hacker News
User rramadass posts a link to Paul Dirac's essay 'The Relation Between Mathematics and Physics' from Cambridge's Department of Applied Mathematics and Theoretical Physics.