Incompleteness Of Quantum Physics
Historically, in physics, hidden variable theories were espoused by some physicists who argued that the state of a physical system, as formulated by quantum mechanics, does not give a complete description for the system; i.e., that quantum mechanics is ultimately incorrect, and that a correct theory would provide descriptive categories to account for all observable behavior and thus avoid any indeterminism. The existence of indeterminacy for some measurements is a characteristic of prevalent interpretations of quantum mechanics; moreover, bounds for indeterminacy can be expressed in a quantitative form by the Heisenberg uncertainty principle.
Albert Einstein, the most famous proponent of hidden variables, objected to the fundamentally probabilistic nature of quantum mechanics, and famously declared "I am convinced God does not play dice". Einstein, Podolsky, and Rosen argued that "elements of reality" (hidden variables) must be added to quantum mechanics to explain entanglement without action at a distance. Later, Bell's theorem would suggest (in the opinion of most physicists and contrary to Einstein's assertion) that local hidden variables are impossible, leaving only nonlocal hidden variable theories as potentially viable. The most famous nonlocal theory is de Broglie-Bohm theory.
Read more about Incompleteness Of Quantum Physics: Motivation, "God Does Not Play Dice", Early Attempts At Hidden Variable Theories, Declaration of Completeness of Quantum Mechanics, Bohr-Einstein Debates, EPR Paradox, Bell's Theorem, Bohm's Hidden Variable Theory, Recent Developments
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