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Update Problems #10

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Expand Up @@ -31,3 +31,11 @@ Language Loss Among Australian Aboriginal Communities | PR-18264 | Of the 250 In
Space Debris in Low Earth Orbit | PR-65907 | Over 128 million pieces of debris smaller than 1 cm orbit Earth, posing collision risks to operational satellites and future space missions.
Pharmaceutical Pollution in Indian Waterways | PR-83142 | India's pharmaceutical industry releases high levels of antibiotics into waterways, contributing to antimicrobial resistance in densely populated regions.
Declining Trust in US Democratic Institutions | PR-47596 | Public trust in the US government has fallen from 73% in 1958 to 20% in 2020, threatening social cohesion and democratic stability.
Alcubierre Drive Feasibility | PR-621847 | Investigate the theoretical possibility of faster-than-light travel using a warp drive, based on the Alcubierre metric, and determine the feasibility of creating and sustaining a warp bubble.
Dark Matter Composition | PR-817305 | Identify the true nature and composition of dark matter, which makes up about 27% of the universe's mass-energy content, yet remains undetectable through electromagnetic interaction.
Dark Energy Mechanism | PR-459172 | Understand the underlying cause of dark energy, the mysterious force responsible for the accelerating expansion of the universe, and determine its properties and implications for cosmology.
Poincaré Conjecture in Higher Dimensions | PR-975430 | Extend the Poincaré Conjecture to dimensions higher than three, specifically investigating the structure and classification of higher-dimensional manifolds.
Yang-Mills and Mass Gap in Non-Abelian Gauge Theories | PR-124685 | Prove the existence of a mass gap in non-Abelian gauge theories other than Yang-Mills, contributing to our understanding of the quantum behavior of fundamental forces.
Consciousness and Quantum Mechanics | PR-562901 | Develop a comprehensive theory that explains the relationship between consciousness and quantum mechanics, addressing whether consciousness can be fully described by physical laws.
Fermi Paradox Solution | PR-302147 | Provide a definitive explanation for the Fermi Paradox, the apparent contradiction between the high probability of extraterrestrial life and the lack of evidence for, or contact with, such civilizations.
Navier-Stokes Equations in Quantum Fluids | PR-708463 | Investigate the behavior of the Navier-Stokes equations in the context of quantum fluids, such as superfluid helium, and determine the conditions for their solutions.