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 3 of 17
V_2_03 — History of Algebra: Al-Khwarizmi to Group Theory
Algebra — the generalization of arithmetic to unknown quantities and their relationships — has a 4,000-year documented history, from Babylonian equation-solving tablets (c. 1800 BCE) through Brahmagupta's Indian treatise
M_4_12 — Pre-Clovis Sites Compilation: Monte Verde to Cerutti Mastodon
For most of the 20th century, the "Clovis First" paradigm held that the first humans to enter the Americas were the bearers of the Clovis culture — characterized by distinctive fluted stone points — who arrived via the i
M_1_15 — Out-of-Place Artifacts: Systematic Evaluation of Anomalous Objects
"Out-of-Place Artifacts" (OOParts) — objects allegedly found in geological or archaeological contexts that seem anachronistic for their supposed age or location — have long served as cornerstones of alternative archaeolo
INTERDOC_66 — Information Persistence Through Catastrophic Events
Three apparently unrelated phenomena share a deep structural feature:
E_4_12 — Dendrochronology: Tree-Ring Science and Precise Ancient Dating
Dendrochronology — the science of dating based on the analysis of tree-ring growth patterns — is one of the most precise dating methods available to archaeology, climatology, and ecology. Pioneered by Andrew Ellicott Dou
O_2_08 — Weathering, Erosion, and Deep Time Landscape Evolution
Weathering (the in-situ breakdown of rock and minerals) and erosion (the transport of weathered material by water, wind, ice, and gravity) are the fundamental surface processes that, operating over deep time (millions to
O_4_12 — Libyan Desert Glass: Silica Mystery and Impact Hypotheses
Libyan Desert Glass (LDG) is a naturally occurring, nearly pure silica glass (~98% SiO₂) found scattered across a roughly 6,500 km² area of the Great Sand Sea on the Egypt-Libya border in the western Sahara Desert. The g
T_4_07 — Social Identity Theory and Prejudice
Social Identity Theory (SIT) explains how individuals derive self-concept from group memberships and how this drives intergroup behavior — including prejudice, discrimination, and conflict. Developed by Henri Tajfel and
T_4_20 — Cult Psychology & Thought Reform
Cult psychology examines the mechanisms by which high-demand groups — religious, political, therapeutic, or commercial — recruit, indoctrinate, retain, and sometimes harm members through systematic thought reform techniq
T_5_04 — Psychology of Religion and Spirituality
The psychology of religion investigates why humans believe in supernatural agents, how religious practices affect cognition and well-being, and what psychological functions religion serves. The field was inaugurated by W
T_5_17 — Cultural Memory: Collective Remembrance, Tradition, and Identity
Cultural memory — the shared body of knowledge, narratives, images, and rituals through which a society constructs and maintains its sense of identity across generations — emerged as a distinct academic field in the late
D_2_08 — Mycenae: Lion Gate, Shaft Graves, and Bronze Age Greek Power
Mycenae, located in the northeastern Peloponnese, was the dominant political and cultural center of Late Bronze Age Greece (~1600–1100 BCE) and gave its name to the entire Mycenaean civilization. Heinrich Schliemann's 18
L_5_15 — Genetic Genealogy: DNA Ancestry Testing and Population History
Genetic genealogy — the use of DNA testing to determine relationships and ancestry — has revolutionized both personal genealogy and population genetics since the early 2000s. Three types of DNA analysis provide different
Y_5_09 — Firewalking: Altered States, Pain Override, and Ritual Confidence
Firewalking — the practice of walking barefoot over a bed of hot embers, coals, or heated stones — is one of the most dramatic and visually arresting ritual practices in world culture, documented across diverse tradition
V_4_12 — Mathematical Modeling: Abstraction, Validation, and Prediction
Mathematical modeling — the art and science of translating real-world phenomena into mathematical language, analyzing the resulting equations, and interpreting the results back in terms of the original problem — is the p
M_3_03 — Archaeoacoustics and Acoustic Properties of Ancient Structures
Archaeoacoustics is the study of the acoustic properties of ancient structures, investigating whether builders intentionally designed ritual, ceremonial, and sacred spaces to produce specific sound effects — resonance, e
M_1_16 — Göbekli Tepe Pillar & Enclosure Analysis
Göbekli Tepe — the monumental Neolithic ritual complex located on a limestone ridge ~15 km northeast of Şanlıurfa in southeastern Turkey (coordinates: 37°13′23″N, 38°55′21″E) — contains the oldest known monumental stone
A_4_19 — Maya Codices: Dresden, Madrid, and Paris Manuscripts
The Maya codices are the only surviving pre-Columbian books from the Maya civilization — folding-screen manuscripts made of bark paper (huun) covered in lime plaster and painted with hieroglyphic texts and illustrations
A_4_07 — Tao Te Ching and Daoist Primary Texts
The Tao Te Ching (道德經, Daodejing) — attributed to Lao Tzu (Laozi, ~6th–4th century BCE) — is the foundational text of Daoist philosophy and one of the most translated works in human history. Its 81 brief chapters articul
U_1_15 — Jazz: Improvisation, African Roots, and Cultural Revolution
Jazz — America's most original and influential art form — emerged in the early 20th century from the convergence of African rhythmic and improvisational traditions, African American blues and work songs, European harmony
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