Author Archives: Sung Lee

$1+2+3+4+\cdots=-\frac{1}{12}$?

No, folks! I am not drunk nor I am pot-headed. Yet, I am about to discuss the crazy identity $$1+2+3+4+\cdots=-\frac{1}{12}.$$ No, I am not joking either. This is actually pretty serious mathematics and is also pretty serious stuff even to … Continue reading

Posted in Foundations of Mathematics, Summability Methods | 4 Comments

Time Travel, Parallel Universes (Alternate Realities) and the Greys

Time Travel in Science Fiction It does not require a physicist to get excited about time travel. Time travel is one of the most popular themes in modern day science fiction genre. “The Time Machine, H. G. Wells, 1895″ is … Continue reading

Posted in Time Travel | 4 Comments

Real Structure, Fundamental Symmetry and Quantum Mechanics

In the standard Hermitian quantum mechanics, the space of states of a quantum mechanical system forms a complex Hilbert space in general. But often the space of states becomes a real vector space. When the space of states is a … Continue reading

Posted in Quantum Mechanics | Leave a comment

Doing Quantum Physics with Split-Complex Numbers

Theory of Photons (Electromagnetism) and Wave-Particle Duality of Light Earlier investigations on the nature of light show that, light must be described by electromagnetic waves or by particles (wave-particle duality). de Broglie hypothesized that what is true for photons should … Continue reading

Posted in Quantum Mechanics | 2 Comments