Ghost galaxies are faint stellar halos lacking a central galaxy, formed from small galaxies merging but unable to cool gas for star formation. With about 30% of dwarf galaxies exhibiting dark matte…

The content discusses the possibility of advanced alien civilizations in the Milky Way and the Fermi Paradox, which raises questions about why we haven’t encountered them. The Great Filter th…

The content explores Fermi’s question of whether we are alone in the universe, discussing the potential for alien life. It examines the vast number of stars and planets, suggesting a high pro…

The content explores the homeomorphism between the unit circle and the extended real line by defining a continuous, bijective function. The proof involves two perspectives: Cartesian and polar coor…

The content explores the homeomorphism between the unit circle and the extended real line by defining a continuous, bijective function. The proof involves two perspectives: Cartesian and polar coor…

Gravitational lensing is a fascinating phenomenon in physics where light bends due to the influence of a high gravitational field, analogous to the optical distortion in lenses. This idea emerged a…

Dark energy makes up 70% of the Universe and accelerates its expansion, yet its true nature remains unknown. Historical perspectives from Newton to Einstein shaped our understanding of gravity and …

The Twin Paradox illustrates how time dilation affects identical twins when one travels at near light speed while the other remains on Earth. Special relativity explains the asymmetry due to accele…

Topology is a crucial branch of abstract mathematics exploring the qualitative properties of geometric figures. It began with the Seven Bridges of Königsberg and expanded through contributions from…

Emmy Noether, a pioneering German mathematician born in 1882, overcame significant barriers, including institutional sexism, to advance mathematics and physics. Her groundbreaking theorems linked s…

Research into how a father’s choices — such as diet, exercise, stress, nicotine use — may transfer traits to his children has become impossible to ignore.

Take a jaunt through a jungle of strange neurons underlying your sense of touch, hundreds of millions of years of animal evolution and the dense neural networks of brains and AIs.

The discoveries by the James Webb Space Telescope challenge the ΛCDM cosmological model, which has long explained the Universe’s structure and evolution. Recent findings of early galaxies and…

Max Tegmark’s article explores the concept of Parallel Universes, classifying them into four levels. It discusses the Level 1 Multiverse, consisting of infinite cosmic bubbles identical to ou…

The post discusses the potential for life beyond Earth, focusing on the TRAPPIST-1 star system and moons like Titan and Europa. It explores findings that suggest Mars and Venus may have harbored li…

A Blog of an independent explorer for Mathematics and Cosmology

Almost 3 years ago, me and my roommate were thinking about watching the night sky on top of our hostel at CUTN. I am not sure about the date, but I think it was the Gemini meteor showers. And we ga…