The article examines the concept of "the loneliest point" in space, discussing how vast cosmic distances and the expansion of the universe lead to extreme isolation for hypothetical objects, and reflects on the philosophical implications of such solitude.
A new paper by Thomas Bloom, Will Sawin, Carl Schildkraut and Dmitrii Zhelezov disproves a well-known conjecture in additive combinatorics. The result shows there exist arbitrarily large finite sets A of real numbers where max(|A+A|,|AA|) ≤ |A|^{2-c}. The solution was achieved by humans using methods related to an earlier AI solution to the unit distance conjecture.
John Burn-Murdoch guest-hosted BBC's Radical podcast, speaking with geneticist Sir John Bell about recent and upcoming medical breakthroughs.