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 1 of 17
V_3_16 — Representation Theory: Symmetry, Groups, and Their Actions
Representation theory transforms the abstract algebraic machinery of groups — mathematical structures encoding symmetry — into concrete matrices and linear transformations that act on vector spaces. By representing group
M_5_11 — Archaeological Anomalies Database: Cataloging the Unexplained
This document serves as a structured database and classification system for archaeological anomalies — finds that appear to challenge accepted timelines, technological capabilities, or historical frameworks. Rather than
K_2_13 — Attention Networks: Dorsal, Ventral, and Salience Systems
Attention — the selective allocation of processing resources to particular stimuli, locations, or tasks — is among the most studied phenomena in cognitive neuroscience and is intimately linked to consciousness: what we a
INTERDOC_23 — Placebo, Nocebo, and the Biology of Belief
[KEY FINDING] The placebo effect is not "fake medicine" — it involves genuine, measurable physiological changes mediated by endogenous neurotransmitter systems. Fabrizio Benedetti (University of Turin) has demonstrated:
ZC_5_18 — Disaster Resilience & Cultural Recovery: Anthropological Perspectives
Disaster resilience — the capacity of communities to absorb, adapt to, and recover from catastrophic events while maintaining essential functions and identity — is increasingly understood not as a property of infrastruct
ZC_1_02 — Cult Psychology — Manipulation, Totalism, and Recovery
Cult psychology examines how high-demand groups employ systematic influence techniques to recruit, retain, and control members. Key frameworks include Robert Jay Lifton's eight criteria of thought reform, Steven Hassan's
ZC_4_19 — Disaster Resilience Anthropology: Cultural Adaptation to Catastrophe
Disaster anthropology — the study of how human societies prepare for, experience, respond to, and recover from catastrophic events — emerged as a distinct subfield through the work of Anthony Oliver-Smith (University of
O_1_04 — Atmospheric Anomalies — Ball Lightning, Hessdalen, and Earthquake Lights
The atmosphere produces a range of luminous phenomena that, despite centuries of observation and thousands of documented reports, remain incompletely understood or only recently explained. Ball lightning — glowing sphere
O_1_06 — Geomagnetic Anomalies at Ancient Megalithic Sites
A small but growing body of geophysical research has documented measurable electromagnetic and geomagnetic anomalies at several ancient megalithic sites, including the Rollright Stones (Oxfordshire, England), Carnac (Bri
T_4_03 — Group Psychology and Crowd Behavior
Group psychology examines how individuals' thoughts, feelings, and behaviors are influenced by the presence and actions of others — from small groups to mass crowds. Foundational research includes Gustave Le Bon's The Cr
D_2_05 — Troy (Hisarlik): Schliemann, Stratigraphy, and the Birth of Field Archaeology
Troy (modern Hisarlik, northwestern Turkey) is one of the most famous archaeological sites in the world, identified with the legendary city of Homer's Iliad. The mound contains at least nine major stratigraphic layers sp
ZE_1_16 — Epistemic Ethics: The Morality of Belief, Knowledge, and Intellectual Virtue
Epistemic ethics — the study of the moral dimensions of belief, knowledge-seeking, and intellectual conduct — addresses a fundamental question: do we have moral obligations regarding what we believe and how we form our b
ZA_3_02 — Symmetry, Noether's Theorem, and Conservation Laws
Emmy Noether's 1918 theorem established one of the deepest principles in physics: every continuous symmetry of the action of a physical system corresponds to a conserved quantity. Translational symmetry in space yields c
I_3_08 — Roswell Incident: Historical Analysis
The Roswell incident (early July 1947) is the most culturally significant and extensively investigated event in UAP history. The core facts are not disputed: in early July 1947, rancher W.W. "Mack" Brazel discovered unus
M_3_02 — Dendera "Light" Reliefs — Interpretations & Evidence
The Dendera reliefs are a series of carved stone panels in the Hathor Temple at Dendera, Egypt (Ptolemaic period, c. 50 BCE), depicting what mainstream Egyptologists identify as mythological scenes involving djed pillars
A_4_26 — Aztec Codices: Borgia Group and Mesoamerican Ritual Manuscripts
The Aztec codices — particularly the Borgia Group — are a set of pre-Columbian and early colonial-period painted manuscripts from central Mexico, produced on deerskin or bark paper (amatl) in screenfold format. The Borgi
W_4_21 — Rapa Nui: Isolation, Ecocide Debate, and Cultural Resilience on Easter Island
Rapa Nui (Easter Island), the most isolated inhabited island in the world — 3,700 km from South America, 2,000 km from Pitcairn — was settled by Polynesian voyagers c. 1200 CE and developed a unique civilization that car
K_5_04 — Neuroscience of Belief
Belief — the mental state of holding something to be true — is a cornerstone of conscious experience, shaping perception, memory, emotion, decision-making, and behavior. The neuroscience of belief has revealed that belie
E_1_05 — The Hollow Moon: Evidence, Anomalies & Theories
This document examines The Hollow Moon: Evidence, Anomalies & Theories, a topic within the Cataclysms and Chronology research area. Key areas of investigation include Apollo Seismic "Ringing Like a Bell", Anomalous Densi
ZC_5_10 — Sociology of Disaster: Vulnerability, Resilience, and Social Amplification of Risk
The sociology of disaster studies the social dimensions of catastrophic events — earthquakes, floods, hurricanes, pandemics, industrial accidents, nuclear meltdowns, wildfires, and increasingly, climate-driven extreme ev
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