Quantum physics is the most successful scientific theory ever devised. It powers semiconductors, lasers, and MRI machines. Yet a bold new argument from Oxford physicist Tim Palmer says quantum physics has been quietly resting on a mathematical fiction for over a century — and that fixing it could dissolve every so-called mystery the theory has ever produced.
The paper, published in May 2026, introduces what Palmer calls Rational Quantum Mechanics (RaQM) — a reworking of standard quantum theory that strips out the continuum of real numbers and replaces it with a more discrete, structured foundation. The implications are sweeping. Schrödinger's cat, Einstein's "spooky action at a distance," and the deepest puzzles of quantum physics may not be properties of nature at all. They may be artifacts of the wrong math.
The hidden assumption inside quantum physics
Most people assume quantum physics is defined by its jumps and discontinuities. The phrase "quantum leap" entered everyday language precisely because of this. But quantum physics actually evolves in a profoundly continuous way before any measurement takes place — smoothly and unbroken, governed by Schrödinger's equation.
That continuity depends entirely on the mathematical continuum: the infinite set of real numbers, including irrational numbers like √2 or π. These numbers cannot be expressed as a simple fraction. They go on forever without pattern. And according to Palmer, building quantum physics on top of them introduces fictional structure that has no counterpart in physical reality.
The continuum has a long history. The ancient Greek mathematician Hippasus reportedly proved that √2 cannot be a rational number — and, legend has it, was drowned at sea for the heresy. Centuries later, mathematicians like Cauchy formalized the real numbers into a rigorous system that now underpins nearly all of modern physics. The assumption has gone largely unquestioned.
Palmer questions it.
What rational quantum mechanics actually changes
RaQM does not abandon quantum physics. It refines it. The theory replaces the continuum of real numbers with rational numbers — numbers that can be expressed as exact fractions — and reframes the mathematical structure of quantum theory accordingly.
The payoff, Palmer argues, is that the famous "mysteries" of quantum physics disappear entirely.
Take Schrödinger's cat. In standard quantum physics, a cat inside a closed box exists in a superposition of alive and dead states until observed. This seems absurd. RaQM argues the superposition is a mathematical ghost created by the continuum structure — not a physical reality. Remove the irrational numbers, and the paradox evaporates.
The same goes for quantum entanglement and what Einstein famously called "spooky action at a distance." Two particles separated by vast distances appear to influence each other instantaneously in standard quantum theory. This seems to violate locality and common sense. Palmer's framework suggests the apparent non-locality is another consequence of applying irrational number mathematics to a system that doesn't actually require it. Nature, in this view, is not spooky. The math was just wrong.
A testable prediction: Quantum computers will hit a wall at 400 qubits
The most striking aspect of RaQM is that it makes a concrete, falsifiable prediction — something many foundational theories in physics fail to do.
Palmer predicts that quantum computers will fail beyond approximately 400 qubits . Not because of engineering limitations or decoherence noise, but because of a fundamental limit in the discrete structure of nature itself. Standard quantum physics, built on the continuum, assumes no such ceiling exists. If RaQM is correct, quantum computers will plateau. If it is wrong, they will scale further.
This is not a vague philosophical claim. It is a specific number that the coming decade of quantum computing development will either confirm or refute. Companies including Google, IBM, and Microsoft are already racing past the 1,000-qubit threshold in early hardware. The next few years of scaling results will be a direct empirical test of Palmer's theory.
The debate over the foundations of quantum physics has dragged on since the 1920s. For most of that time, the prevailing attitude among working physicists has been "shut up and calculate" — use the equations, don't worry about what they mean.
Palmer's work represents a different approach: that the meaning matters, and that the right mathematical language can eliminate confusion rather than multiply it. Rational Quantum Mechanics proposes that the universe is not fundamentally strange. It is discrete, structured, and in principle comprehensible.
If the 400-qubit prediction holds, it will force a profound rethink of quantum physics from the ground up. If it fails, the mysteries remain — and so does the continuum. Either way, quantum physics is heading toward a reckoning that even Schrödinger's cat can't survive in superposition much longer.
FAQs:
Q1. Why do some physicists argue quantum physics must abandon irrational numbers and the continuum?Some physicists argue that quantum theory relies too heavily on real numbers, including irrational values that may not exist in physical reality. They suggest this mathematical continuum introduces paradoxes like superposition and entanglement that feel conceptually strange.
Q2. What would change if quantum physics must abandon irrational numbers in future theories?
If quantum physics abandons irrational numbers, the mathematical structure of wave functions and probabilities would shift to discrete forms. This could remove infinities and reduce interpretational issues like measurement collapse and “spooky action at a distance.”
