“It feels like the entire universe is within a sphere that is maybe within a couple metres’ radius,” says topologist Henry Segerman at Oklahoma State University in Stillwater. He is describing, not an LSD trip, but his experience of exploring a curved universe in which the ordinary rules of geometry do not apply.

Segerman and his collaborators have released software allowing anyone with a virtual-reality (VR) headset to wander through this warped world, which they previewed last month in two papers on the arXiv.org preprint server1, 2.

To explore the mathematical possibilities of alternative geometries, mathematicians imagine such ‘non-Euclidean’ spaces, where parallel lines can intersect or veer apart. Now, with the help of relatively affordable VR devices, researchers are making curved spaces — a counter-intuitive concept with implications for Einstein’s theory underlying gravity and also for seismology — more accessible. They may even uncover new mathematics in the process.

Could be used to induce natural brain neurotransmitter initiated psychedelic and transcendental states of higher consciousness. To read more, click here.