Why Do Quantum Mechanics Use Imaginary Numbers? New Research Questions a Long-Held Scientific Assumption

Imaginary numbers have been a vital part of quantum mechanics, the physics branch that explains how atoms, electrons and other tiny particles behave for nearly a century. But a new study is upending that assumption. Now researchers say quantum mechanics might not need imaginary numbers after all. Instead, they propose a mathematical framework that is based entirely on real numbers and that makes the same predictions as conventional quantum theory. The findings don’t rewrite physics overnight, but have sparked fresh debate over one of science’s deepest questions: Are imaginary numbers a fundamental feature of nature or just a convenient mathematical tool?

What Are Imaginary Numbers in Quantum Mechanics?

Imaginary numbers are very real mathematical concepts, despite the name. They are based on the number i, which is the square root of -1, a calculation that is not possible with ordinary real numbers. Physicists like to use these numbers because they make the equations involving quantum particles simpler. The well-known Schrödinger equation, which tells us how particles change with time, is written using complex numbers, numbers that combine real values with imaginary values. For decades, scientists have thought that these complicated numbers were needed to properly describe the quantum world. 

What Does the New Research Say?

The latest study, published in Physical Review Letters, has challenged that long-held belief. Rather than using imaginary numbers, the researchers have devised a version of quantum mechanics that uses only real numbers. They developed an alternative mathematical approach that stores information normally carried by imaginary values in a different way, allowing the theory to match the same experimental predictions as standard quantum mechanics for finite quantum systems. Crucially, the researchers are not saying that current quantum mechanics is wrong. Instead, they say that imaginary numbers might be a mathematical convenience rather than a necessity. 

Why Does This Matter?

The debate may seem like a matter of mathematical technicalities. But it has much broader implications. Modern technologies such as semiconductors, lasers, MRI scanners, quantum cryptography and future quantum computers are all based on quantum mechanics. Finding out whether its math can be simplified could influence how future physicists teach, interpret and expand the theory. The work also poses a profound philosophical question: is mathematics the way reality actually is, or is it simply the best language that humans have invented to describe it? 

Not Everyone Is Convinced

The new results have generated excitement but also caution among scientists. Previous experiments, including landmark papers in 2021 and 2022, indicated that imaginary numbers seemed to be crucial for quantum mechanics, ruling out several “real-only” alternatives. The new research doesn’t directly contradict those experiments. Instead it suggests an alternative mathematical structure which does not rely on the assumptions used in previous tests. As with any major theoretical breakthrough, independent researchers will now try to see if the new framework can be applied to more complex quantum systems and if it offers any practical benefits. 

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A New Chapter in Quantum Physics

The study is not expected to change today’s quantum technologies, but it could change how physicists think about the foundations of reality. It is an open question whether imaginary numbers are really fundamental, or just a convenient shorthand. In any way you look at it, the research highlights that quantum mechanics is still surprising scientists a hundred years after its birth, and reminds us that our understanding of the universe is still a work in progress.

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