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Quantum Mechanics and Relativity

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The Uncertainty Principle vs. Determinism

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Relativity relies on precise predictions whereas the Heisenberg Uncertainty Principle, a core part of quantum mechanics, suggests fundamental limits to what can be known about particles, challenging determinism.

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The Twin Paradox and Quantum Superposition

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The twin paradox from relativity involves different time rates for each twin, while quantum mechanics allows for superposition where particles can be in multiple states simultaneously, difficult to reconcile with singular timelines.

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Gravity in Quantum Mechanics vs. General Relativity

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General Relativity describes gravity as curvature in spacetime, while in quantum mechanics, forces are typically mediated by particles like photons for the electromagnetic force. Integrating gravity into quantum THEORY is a major challenge.

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The Speed of Light as a Limit

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Relativity posits that the speed of light is a universal limit, which leads to effects like time dilation. Quantum mechanics, with its emphasis on probabilities, does not easily account for this absolute limit.

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Quantum Field Theory

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Quantum field theory attempts to reconcile the two by treating particles as excited states of underlying fields, but a theory of quantum gravity escaping from singularities like black holes remains elusive.

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Local Realism vs. Nonlocality

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Einstein's relativity supports local realism, meaning objects are influenced directly only by their immediate surroundings. Quantum entanglement, however, suggests 'spooky action at a distance', challenging this view.

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The Scale of Quantum Effects and Cosmic Scales

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Quantum effects are most pronounced at very small scales (atomic and subatomic), whereas relativity becomes significant over vast distances and in strong gravitational fields, posing questions about their applicability on different scales.

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The Problem of Measurement

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Relativity allows for exact solutions given sufficient data, whereas quantum mechanics' measurement problem indicates a fundamental randomness in outcomes that cannot be precisely predicted until measurement.

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Black Holes and Information Paradox

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Black holes as predicted by relativity lead to the information paradox when considering quantum mechanics, which states that information cannot be destroyed, posing questions about what happens at the event horizon.

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Energy-Momentum Relations

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The relationship described by E=mc2E=mc^2 in relativity must mesh with the quantum mechanics energy-momentum relation E=p2/2mE=p^2/2m. The underlying principles of how energy and momentum interact in both theories can vary.

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