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New theory of gravity brings long-sought Theory of Everything a crucial step closer

A quantum theory of gravity would clear the path to answering some of the biggest questions in physics.
Earth and Moon on a grid representing gravity well, with green arrows indicating gravitational force directions.
The gravity quantum field is calculated in flat spacetime. The curved classical metric is calculated using the expectation value of the gravity quantum field. Image: Mikko Partanen and Jukka Tulkki / Aalto University.

At long last, a unified theory combining gravity with the other fundamental forces鈥攅lectromagnetism and the strong and weak nuclear forces鈥攊s within reach. Bringing gravity into the fold has been the goal of generations of physicists, who have struggled to reconcile the incompatibility of two cornerstones of modern physics: quantum field theory and Einstein鈥檚 theory of gravity. 

Researchers at Aalto University have developed a new quantum theory of gravity which describes gravity in a way that鈥檚 compatible with the Standard Model of particle physics, opening the door to an improved understanding of how the universe began. While the world of theoretical physics may seem remote from applicable tech, the findings are remarkable. Modern technology is built on such fundamental advances 鈥 for example, the GPS in your smartphone works thanks to Einstein鈥檚 theory of gravity.

Mikko Partanen and Jukka Tulkki describe their new theory in a paper published in Lead author Partanen expects that within a few years, the findings will have unlocked critical understanding.

鈥業f this turns out to lead to a complete quantum field theory of gravity, then eventually it will give answers to the very difficult problems of understanding singularities in black holes and the Big Bang,鈥 he says.

鈥楢 theory that coherently describes all fundamental forces of nature is often called the Theory of Everything,鈥 says Partanen, although he doesn鈥檛 like to use the term himself. 鈥橲ome fundamental questions of physics still remain unanswered. For example, the present theories do not yet explain why there is more matter than antimatter in the observable universe.鈥

Reconciling the irreconcilable

The key was finding a way to describe gravity in a suitable gauge theory 鈥 a kind of theory in which particles interact with each other through a field. 鈥楾he most familiar gauge field is the electromagnetic field. When electrically charged particles interact with each other, they interact through the electromagnetic field, which is the pertinent gauge field,鈥 explains Tulkki. 鈥楽o when we have particles which have energy, the interactions they have just because they have energy would happen through the gravitational field.鈥

A challenge long facing physicists is finding a gauge theory of gravity that is compatible with the gauge theories of the other three fundamental forces 鈥 the electromagnetic force, the weak nuclear force and the strong nuclear force. The Standard Model of particle physics is a gauge theory which describes those three forces, and it has certain symmetries. 鈥楾he main idea is to have a gravity gauge theory with a symmetry that is similar to the Standard Model symmetries, instead of basing the theory on the very different kind of spacetime symmetry of general relativity,鈥 says Partanen, the study鈥檚 lead author.

Without such a theory, physicists cannot reconcile our two most powerful theories, quantum field theory and general relativity. Quantum theory describes the world of the very small鈥攖iny particles interacting in probabilistic ways鈥攚hile general relativity describes the chunkier world of familiar objects and their gravitational interaction. They are descriptions of our universe from different perspectives, and both theories have been confirmed to extraordinary precision鈥攜et they are incompatible with each other. Furthermore, because gravitational interactions are weak, more precision is needed to study true quantum gravity effects beyond general relativity, which is a classical theory.

鈥楢 quantum theory of gravity is needed to understand what kind of phenomena there are in cases where there鈥檚 a gravitational field and high energies,鈥 says Partanen. Those are the conditions around black holes and in the very early universe, just after the Big Bang鈥攁reas where existing theories in physics stop working.

Always fascinated with the very big questions of physics, he discovered a new symmetry-based approach to the theory of gravity and began to develop the idea further with Tulkki. The resulting work has great potential to unlock a whole new era of scientific understanding, in much the same way as understanding gravity paved the way to eventually creating GPS.

Two men standing in a library, one in a grey jumper and the other in a black jacket.
Mikko Partanen (left) and Jukka Tulkki. Photo: Aalto University/Matti Ahlgren.

Open invite to the scientific community

Although the theory is promising, the duo point out that they have not yet completed its proof. The theory uses a technical procedure known as renormalization, a mathematical way of dealing with infinities that show up in the calculations. So far Partanen and Tulkki have shown that this works up to a certain point鈥攆or so-called 鈥榝irst order鈥 terms鈥攂ut they need to make sure the infinities can be eliminated throughout the entire calculation. 鈥業f renormalization doesn鈥檛 work for higher order terms, you鈥檒l get infinite results. So it鈥檚 vital to show that this renormalization continues to work,鈥 explains Tulkki. 鈥榃e still have to make a complete proof, but we believe it鈥檚 very likely we鈥檒l succeed.鈥

Partanen concurs. There are still challenges ahead, he says, but with time and effort he expects they鈥檒l be overcome. 鈥業 can鈥檛 say when, but I can say we鈥檒l know much more about that in a few years.鈥

For now, they鈥檝e published the theory as it stands, so that the rest of the scientific community can become familiar with it, check its results, help develop it further, and build on it. 

鈥楲ike quantum mechanics and the theory of relativity before it, we hope our theory will open countless avenues for scientists to explore,鈥 Partanen concludes.

Contact details: 

Mikko Partanen 
Postdoctoral Researcher
mikko.p.partanen@aalto.fi 
+358 50 365 8812 

Jukka Tulkki 
Professor Emeritus  
jukka.tulkki@aalto.fi 
+358 50 501 4092 

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