Theoretical Mathematics
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Quantum mechanics (QM - also known as quantum physics , or quantum theory ) is a branch of physics dealing with physical phenomena where the action is on the order of the Planck constant .
The Bloch sphere is a representation of a qubit , the fundamental building block of quantum computers. A quantum computer is a device for computation that makes direct use of quantum mechanical phenomena , such as superposition and entanglement , to perform operations on data . Quantum computers are different from digital computers based on transistors .
Quantum nonlocality is the phenomenon by which measurements made at a microscopic level necessarily refute one or more notions (often referred to as local realism) that are regarded as intuitively true in classical mechanics .
Quantum superposition is a fundamental principle of quantum mechanics .
Quantum entanglement occurs when particles such as photons , electrons , molecules as large as buckyballs , [ 1 ] [ 2 ] and even small diamonds [ 3 ] [ 4 ] interact physically and then become separated; the type of interaction is such that each resulting member of a pair is properly described by the same quantum mechanical description ( state ), which is indefinite in terms of important factors such as position , [ 5 ] momentum , spin , polarization , etc.
String theory is an active research framework in particle physics that attempts to reconcile quantum mechanics and general relativity . It is a contender for a theory of everything (TOE), a self-contained mathematical model that describes all fundamental forces and forms of matter . String theory posits that the electrons and quarks within an atom are not 0-dimensional objects, but rather 1-dimensional oscillating lines ("strings").
Chaos theory is a field of study in mathematics , with applications in several disciplines including physics , engineering , economics , biology , and philosophy . Chaos theory studies the behavior of dynamical systems that are highly sensitive to initial conditions, an effect which is popularly referred to as the butterfly effect .
The theory of relativity , or simply relativity , encompasses two theories of Albert Einstein : special relativity and general relativity . [ 1 ] The basic overall concept is that both time and space are relative, not fixed. However, the word relativity is sometimes used in reference to Galilean invariance .