• Corpus ID: 218763638

Physics and the Pythagorean Theorem

@article{Overduin2020PhysicsAT,
  title={Physics and the Pythagorean Theorem},
  author={James Overduin and Richard B. C. Henry},
  journal={arXiv: History and Philosophy of Physics},
  year={2020}
}
Pythagoras' theorem lies at the heart of physics as well as mathematics, yet its historical origins are obscure. We highlight a purely pictorial, gestalt-like proof that may have originated during the Zhou Dynasty. Generalizations of the Pythagorean theorem to three, four and more dimensions undergird fundamental laws including the energy-momentum relation of particle physics and the field equations of general relativity, and may hint at future unified theories. The intuitive, "pre-mathematical… 
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References

SHOWING 1-10 OF 30 REFERENCES

The Pythagorean Theorem: The Story of Its Power and Beauty, by Alfred S. Posamentier

In the introduction, the author states, ‘. . ., this famous theorem which we clearly associate with geometry, is also the basis for the field of trigonometry and finds its way into countless other

Physics and reality

The Physics of our Universe

Almost everyone knows the Pythagorean theorem—and, is aware also, that E = mc^2 . But everyone who can do simple algebra should also learn how to deduce that E = mc^2 from that Pythagorean

A new nonsymmetric gravitational theory

A THEORY OF SPACE, TIME AND MATTER

We unify the gravitational field with its source by considering a new type of 5D manifold in which space and time are augmented by an extra dimension which induces 4D matter. The classical tests of

On the Klein–Gordon Equation in Higher Dimensions: Are Particle Masses Variable?

We consider ways to generalize the 4D Klein–Gordon equation of particle physics to higher dimensions. The most promising approach implies that the mass which appears in the 4D relation is a term in

Are Particle Rest Masses Variable? Theory and Constraints from Solar System Experiments

We consider the possibility that particle rest masses may vary in spacetime. According to arguments originated by Dicke, if this is the case various null experiments indicate that all masses vary in

Physics Almost Saved the President! Electromagnetic Induction and the Assassination of James Garfield: A Teaching Opportunity in Introductory Physics

Electromagnetic induction is probably one of the most challenging subjects for students in the introductory physics sequence, especially in algebra-based courses. Yet it is at the heart of many of

Kaluza-Klein gravity

Spacetime and Euclidean geometry

Using only the principle of relativity and Euclidean geometry we show in this pedagogical article that the square of proper time or length in a two-dimensional spacetime diagram is proportional to