Quantum real-number formulation could replace imaginary math, HHU physicists say
A Physical Review Letters result with DLR suggests quantum mechanics can be written with real numbers, not imaginary ones.

Physicists at Heinrich Heine University Düsseldorf (HHU), working with the German Aerospace Center (DLR), report in Physical Review Letters that quantum mechanics does not necessarily require imaginary numbers. The American Physical Society also highlighted the work in Physics Magazine, signaling that the idea is more than a niche rewrite.
Quantum mechanics may not have to use imaginary numbers after all, at least not in the way many people casually assume. Researchers from Heinrich Heine University Düsseldorf (HHU), collaborating with the German Aerospace Center (DLR), say they have examined a fundamental property of quantum mechanics and found that the theory does not necessarily need imaginary numbers, because it can be formulated using real numbers.
That is the core claim, published in Physical Review Letters, and it lands in a place that matters: quantum theory is not only a textbook subject, it is the underlying language for a huge slice of modern physics and the development paths for future technologies. Even a “math format” change can have knock-on effects for how researchers build intuition, design experiments, and teach or extend models. The American Physical Society then put the findings in a “Highlight” in Physics Magazine, which is basically the physics equivalent of, “This is interesting enough to spotlight for the broader community.”
To be clear, the story is not that quantum mechanics becomes something else. The researchers are pointing to a specific flexibility in how the theory can be formulated. Imaginary numbers show up frequently in quantum mechanics because they are deeply woven into the mathematics of how systems evolve and how probabilities connect to amplitudes. But the big deal here is the reversal of a common assumption. If real numbers can be used without losing the fundamental property being studied, then some parts of quantum mechanics might be representable in a more straightforward numerical language than the standard presentation.
Why should an executive care about that kind of shift? Because the business side of science is constantly allocating resources toward models that guide experimental work, instrumentation design, and risk management in deep tech R&D. In frontier research, the difference between “this is how we always write it” and “there is an equivalent real-number route” can affect who can participate, how quickly teams can verify results, and how easily new collaborators can reproduce or extend work. That can compress cycles or, at minimum, reduce friction when a field is trying to move from theory to application.
There is also a signaling element. Physical Review Letters is a venue that typically aims for clear, high-impact contributions. And the American Physical Society’s Physics Magazine highlight matters because it suggests the community sees the finding as worth surfacing beyond specialists. In other words, this is not just an internal technical note that only a small subgroup reads. It got broader attention from the APS ecosystem, which tends to happen when something could change how people think about a foundational piece of the framework.
Now zoom out to incentives and governance. Universities and national research organizations like DLR often operate with mandates that include both fundamental science and national capability. A result like this offers a potential intellectual differentiator: teams that can represent quantum mechanics in a form that is more accessible or computationally convenient may attract partnerships faster, win internal funding arguments with clearer rationales, and collaborate across disciplines that struggle with complex-number-heavy formalism. Even if the advantage is gradual, boards and research leadership usually like anything that improves the odds of longer-term traction.
Second-order implications are where the exec value shows up. If real-number formulations are viable for the specific property studied, then future work might explore where else the imaginary-number components can be re-expressed, or whether such formulations simplify parts of modeling that are currently hard to teach, hard to simulate, or hard to communicate across teams. That can influence the broader ecosystem: the way researchers structure code, the way they set up computational experiments, and the way educational materials frame what students should learn first. Those are “quiet” changes, but they tend to compound.
Strategically, peers who oversee frontier science portfolios should watch for signals like this: a foundational assumption challenged in a high-profile journal, then amplified by a major physics organization’s magazine. The specific headline here is that quantum mechanics does not necessarily need imaginary numbers, because real numbers can also be used. If that idea holds up and extends, it could shape how the next generation of quantum research is described, taught, and operationalized. In a world where teams compete to convert theory into working systems, even an equation’s formatting can become part of the competitive edge.
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