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Real numbers don’t cut it in the real world, this physicist argues

Author: Emily Conover / Source: Science News

illustration of numbers
REALLY REAL The mathematical ideal of real numbers might not appropriately represent the reality of the real world, says physicist Nicolas Gisin.

You would be forgiven for thinking that real numbers are, in fact, real — the word is right there in the name.

But physicist Nicolas Gisin doesn’t think so.

He’s not questioning the mathematical concept of a real number. The term refers to a number that isn’t imaginary: It has no factor of i, the square root of negative one. Instead, Gisin, of the University of Geneva, debates the physical reality of real numbers: Do they appropriately represent nature? Physicists regularly use real numbers to describe the world: velocities, positions, temperatures, energies. But is that description really correct?

Gisin — known for his work on the foundations and applications of quantum mechanics — takes issue with real numbers that consist of a never-ending string of digits with no…

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