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.
335 results for "Lie group" — page 11 of 17
V_3_11 — Mathematical Optimization: Linear Programming, Convex Methods, and Gradient Descent
Mathematical optimization — finding the best solution from a set of feasible alternatives — is one of the most practically impactful branches of mathematics, with applications spanning logistics, finance, engineering, ma
V_2_15 — Galois Theory and Field Extensions
Galois theory, developed by Évariste Galois (1811-1832) in the last years of his tragically short life, is one of the great triumphs of abstract algebra — a theory connecting field extensions to group theory that definit
M_5_03 — Piri Reis Map and Cartographic Anomalies
The Piri Reis map is a fragment of a world map drawn on gazelle parchment by the Ottoman admiral and cartographer Piri Reis (Ahmed Muhiddin Piri) in 1513 CE, rediscovered in the Topkapi Palace library, Istanbul, in 1929.
M_1_18 — Ancient Metallurgy Anomalies
Ancient metallurgical achievements frequently surpass what conventional archaeological narratives would predict for their time periods, leading to enduring debates about the sophistication of pre-industrial materials sci
A_4_12 — Pali Canon (Tipitaka) — Earliest Buddhist Scriptures
The Pali Canon (Tipiṭaka, "Three Baskets") is the oldest complete collection of Buddhist scriptures, preserved in the Pali language by the Theravada tradition of Sri Lanka and Southeast Asia. Transmitted orally for appro
ZH_5_05 — Cross-Cultural Constellation Patterns: Connecting Star Groupings Worldwide
Every documented human culture groups stars into constellations or asterisms — named patterns that organize the sky into a readable, memorizable, and culturally meaningful map. Yet surprisingly few star groupings are uni
ZG_2_00 — Language Families History: Subfolder Summary
ZG_4_00 — Applied Sociolinguistics: Subfolder Summary
Q_1_22 — Dark Flow and Cosmic Dipole Anomalies
Dark flow refers to a claimed coherent bulk motion of galaxy clusters toward a specific region of the sky at velocities inconsistent with the predictions of standard ΛCDM cosmology, first reported by NASA Goddard astroph
Q_1_07 — CMB Anomalies and the Axis of Evil
The Cosmic Microwave Background (CMB) — the afterglow of the Big Bang, emitted ~380,000 years after the universe began — is the most precisely measured radiation in the history of science. It matches the theoretical pred
INTERDOC_22 — Near-Death Experience, Afterlife Belief, and Cross-Cultural Evidence
[KEY FINDING] The AWARE (AWAreness during REsuscitation) study — a four-year prospective study across 15 hospitals in the UK, US, and Austria, led by Sam Parnia (published 2014, Resuscitation) — found that 39% of 140 car
ZB_5_00 — Systems Applied Ecology: Subfolder Summary
ZC_5_00 — Modern Applied Social Science: Subfolder Summary
G_3_08 — Water Anomalies — Structured Water, Memory Claims, and EZ Water
Water (H₂O) is simultaneously the most familiar and most anomalous substance on Earth. Its seemingly simple molecular structure belies a staggering array of anomalous properties — at least 72 documented anomalies compare
G_3_06 — Systems Collapse and Complexity Theory Applied to Civilizations
This document examines Systems Collapse and Complexity Theory Applied to Civilizations, a topic within the Modern Frameworks research area. Key areas of investigation include Tainter's Foundational Thesis, The Western Ro
G_2_14 — Information Theory Applied to Ancient Scripts and Codes
Information theory — founded by Claude Shannon (1948) — provides a mathematical framework for quantifying the information content, redundancy, and statistical structure of communication systems. When applied to ancient s
O_2_22 — Carolina Bay Anomalies
The Carolina bays are a collection of approximately 500,000 shallow, elliptical depressions concentrated along the Atlantic Coastal Plain of the southeastern United States, from New Jersey to northern Florida, with the h
T_4_13 — Political Psychology: Ideology, Moral Foundations, and the Psychology of Political Belief
Political psychology — the scientific study of the psychological bases of political behavior, beliefs, and ideologies — investigates why people hold the political views they do, how they process political information, an
T_4_00 — Social Group: Subfolder Summary
T_5_00 — Applied Specialized: Subfolder Summary
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