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Black Holes and String Theory
string theory provides insights into the nature of black holes, including the idea that black holes might have "hair" (quantum properties that affect their behavior) and how they can be…
Find those subsets S ⊂ Z+ such that all but finitely many sums of elements from S (possibly with repetitions) are composite numbers.
Find those subsets S ⊂ Z+ such that all but finitely many sums of elements from S (possibly with repetitions) are composite numbers. To find the subsets S⊂Z+S \subset \mathbb{Z}^+S⊂Z+…
Causality and Propagators in QFT
Causality Causality in QFT requires that events or measurements that are space-like separated (, events that cannot influence each other) do not affect each other. This is formalized by ensuring…
States as Functionals in QFT
States as Functionals in QFT Functionals depend on the ENTIRE space configuration for a system. This implies an inherent non-locality for the state. This should be true for all 3…
Photons emitted at different energies
Some basics Frequency is related to the energy of the photon. Higher frequency photons have higher energy and vice versa. Low energy photons (such as radio photons) behave more like…
All Relativity Effects are EXTERNAL to the object
The speed of objects, as observed by EXTERNAL (to the object) observers, can never exceed the speed of light. EXTERNAL to the object - is key to understanding relativity. In…
Two Simple Experiments to Understand the Difference between QM and Classical Mechanics
Send a stream of silver atoms (each acts like a magnetic needle, in a sense), through a strong North South magnet. What do you expect classically? Energy to knock an…