An extraordinary discovery has been made by a team of researchers as they found that the human brain contains shapes and structures which are likely to have up to 11 dimensions.
Neuroscientists welcome the findings by noting: “We have found a world that we had never imagined before.”
Using algebraic topology and various mathematical methods, the researchers discovered structures and multidimensional geometric spaces in the human brain networks. They have concluded that the human brain contains shapes and structures which have up to 11 dimensions.
It was previously stated that human brain contains 86 million neurons, including a few connections from each cells connection each and every possible direction, producing a cellular network which makes us able to think.
Now, an international team of researchers came together around the Blue Brain project and did something that was never done earlier in the world of neuroscience, according to the research published in the journal Frontiers in Computational Neuroscience.
They located structures in the human brain which exhibit a multi-dimensional universe, revealing the geometric design of neural connections and the way the react to various stimuli. The used a computer modeling methods to see how the brain cells adapt in different circumstances in order to perform complex tasks.
According to Henry Markram a neuroscientist and director of Blue Brain Project in Lausanne, Switzerland, “We have found a world that we had never imagined before. We’ve uncovered tens of millions of these objects even in a small speck of the brain, up through seven dimensions. However, in some networks, we even discovered structures with up to 11 dimensions.”
Each neuron in the brain can interconnect with others, forming an object with intricate connections. The more neurons join, the more dimensions are formed.
Using algebraic topology, researchers modeled the structure in a virtual brain. Later, they did a few tests on real brain tissue in order to verify the results. They also saw empty spaces between the neurons, resembling cavities or holes.
“The presence of high-dimensional cavities when the brain is processing information indicates that the neurons in the network respond to stimuli in a remarkably organized manner,” says Ran Levi from Aberdeen University, who worked on the paper.
“It is as if the brain responds to an inducement by constructing then smashing a tower of multi-dimensional blocks, starting with rods (1D), planks (2D), cubes (3D), and then more complex geometries with 4D, 5D, etc. The sequence of activity throughout the brain resembles a multi-dimensional sandcastle that has the ability to materialize out of the sand and then disintegrate.”
The researchers note that shapes are naturally three-dimensional and the objects found in this study cannot be found in more than three dimensions in reality. However, the mathematicians claim that they might have up to 11 dimensions.
“Outside of physics, high-dimensional spaces are commonly used to represent complex data structures or conditions of systems. For example, the state of a dynamical system in state space, ” Professor Cees van Leeuwen, from KU Leuven, Belgium said.