RESEARCH BASE
Search 3,721 documents across 34 fields — every claim tier-rated by evidence
3,633 are the core, quality-scored corpus (34 lettered sections — see How We Work); the remaining 88 are cross-corpus synthesis documents (68 InterDocs, 12 Connections, 8 Theories) also indexed here.
70 results for "von Neumann entropy" — page 4 of 4
F_3_02 — Manichaean Transmission Along the Silk Road
This document examines Manichaean Transmission Along the Silk Road, a topic within the Lost Connections research area. Key areas of investigation include The Visionary Experience, The Deliberate Synthesis, Mani's Travels
ZA_2_05 — Hawking Radiation and Black Hole Thermodynamics
In 1974, Stephen Hawking showed that black holes are not truly black — they emit thermal radiation at a temperature inversely proportional to their mass, implying that black holes slowly evaporate and eventually disappea
ZA_2_19 — Holographic Principle & AdS/CFT Correspondence: Gravity as Information
The holographic principle — the proposition that all information contained within a volume of space can be encoded on the boundary surface enclosing that volume — ranks among the most profound conceptual shifts in theore
ZA_2_01 — Time: Physics and Philosophy
Time is arguably the deepest unsolved problem in physics and philosophy. Physics reveals: (1) time is relative, not absolute — Einstein showed it flows at different rates depending on velocity and gravity; (2) the fundam
ZA_2_12 — The Black Hole Information Paradox
The black hole information paradox — first articulated by Stephen Hawking in 1976 — is arguably the most profound puzzle connecting quantum mechanics, general relativity, and information theory. When a black hole forms a
ZA_5_19 — Bekenstein Bound: Information Limits and the Physics of Black Holes
The Bekenstein bound — proposed by Jacob Bekenstein in 1981 — establishes a fundamental upper limit on the amount of information (entropy) that can be contained within a given region of space with a given amount of energ
ZA_4_02 — Thermodynamics: Laws, Heat Engines, and the Nature of Energy
Thermodynamics — the science of energy, heat, and work — is one of the most universal and robust frameworks in all of physics. Its four laws govern everything from steam engines to black holes, from chemical reactions to
ZA_4_07 — Boltzmann Brains and Statistical Mechanics Paradoxes
The Boltzmann brain paradox reveals a deep tension between statistical mechanics and cosmology. Ludwig Boltzmann (1896) suggested that the low entropy of the observable universe might be a rare thermal fluctuation from e
I_5_03 — Ancient Astronaut Theory — Evidence, Critique, and Cultural Impact
The Ancient Astronaut Theory (AAT) — also called paleocontact hypothesis — proposes that extraterrestrial beings visited Earth in antiquity and influenced human civilization, religion, technology, and/or biology. Popular
V_2_16 — Analytic Number Theory
Analytic number theory applies the methods of mathematical analysis — complex analysis, Fourier analysis, probability, and asymptotic estimation — to study the distribution and properties of integers, especially prime nu
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