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 10 of 17
S_5_17 — Risk Science, Catastrophe Modeling & Existential Assessment
Risk science encompasses the systematic identification, assessment, and mitigation of threats across scales from individual hazards to civilization-ending catastrophes. From the actuarial tables of Edmond Halley (1693) t
S_5_02 — Surveillance Technology — Panopticism, Mass Surveillance, and the Architecture of Control
Surveillance technology has evolved from Bentham's architectural Panopticon concept (1787) through the analog era of telephone wiretapping and photographic surveillance to the digital panopticon of the 21st century — whe
F_1_26 — Pre-Columbian Chicken DNA & Trans-Pacific Contact
The question of whether chickens (Gallus gallus domesticus) were present in South America before the arrival of Europeans in 1492 is a seemingly mundane zoological problem with profound implications for the history of pr
F_1_09 — Austronesian Expansion: The Greatest Maritime Migration
The Austronesian expansion is the most extensive pre-modern maritime migration in human history, covering over half the globe — from Taiwan to Madagascar, Easter Island, Hawaii, and New Zealand — over approximately 5,000
F_1_07 — First Americans Debate — Clovis, Pre-Clovis, and Coastal Routes
The question of when and how humans first reached the Americas has been transformed in the 21st century by a series of discoveries that have demolished the long-reigning "Clovis-first" paradigm. For decades, the archaeol
F_1_23 — Genetic Adam & Mitochondrial Eve
"Mitochondrial Eve" and "Y-chromosomal Adam" are the names given to the most recent common ancestors (MRCAs) of all living humans through the exclusively maternal (mitochondrial DNA) and exclusively paternal (Y-chromosom
F_1_14 — Pre-Columbian Chicken Debate: Polynesian–South American Evidence
The pre-Columbian chicken debate centers on whether domestic chickens (Gallus gallus domesticus) — an Old World species originally domesticated in Southeast Asia — reached South America before European contact (1492+), v
F_4_07 — Sundaland and the Eden East Hypothesis
Sundaland — the vast continental shelf of Southeast Asia that was exposed during Pleistocene low sea levels — represents one of the most significant lost landscapes in human prehistory. At the Last Glacial Maximum (~26,0
F_4_14 — Ancient DNA and Migration Evidence
Ancient DNA (aDNA) analysis has transformed the study of human migration and cultural connections, providing direct genetic evidence for population movements that were previously inferred indirectly from archaeology, lin
F_4_20 — Yamnaya Expansion: Steppe Herders and Indo-European Spread
The Yamnaya culture (c. 3300–2600 BCE) — a semi-nomadic pastoral society of the Pontic-Caspian steppe (modern Ukraine, southern Russia, and western Kazakhstan) — has emerged from ancient DNA studies as one of the most co
ZA_2_13 — Quantum Gravity Approaches
Quantum gravity is the unfinished quest to unify general relativity (GR) — which describes gravity as spacetime curvature at macroscopic scales — with quantum mechanics (QM), which governs microscopic physics. The challe
ZA_2_10 — Tachyons and Superluminal Physics
Tachyons — hypothetical particles that always travel faster than light — have fascinated physicists since Gerald Feinberg's 1967 formalization, yet no tachyon has ever been observed. In special relativity, a massive part
ZA_4_06 — Phase Transitions and Symmetry Breaking in Physics
Phase transitions — transformations between distinct states of matter or vacuum configurations — are among the most fundamental phenomena in physics, uniting condensed matter, particle physics, and cosmology under a comm
I_3_06 — Nimitz Tic-Tac Encounter (2004) — Case Study
The USS Nimitz "Tic-Tac" encounter of November 14, 2004, is arguably the most evidentiarily robust UAP case in recorded history. During routine carrier strike group exercises approximately 100 miles southwest of San Dieg
I_3_09 — Foo Fighters and World War II Anomalous Observations
"Foo fighters" — a term coined by American military aircrews during World War II — refers to unexplained luminous phenomena observed by Allied (and reportedly Axis) pilots in both the European and Pacific Theaters from a
I_1_08 — The Drake Equation, Fermi Paradox, and UAP Implications
The Drake Equation and the Fermi Paradox represent the two foundational frameworks for thinking about the probability of extraterrestrial intelligence — and their intersection with UAP discourse is both natural and conte
I_1_12 — Classic Abduction Cases — Hill & Walton
The alien abduction phenomenon — accounts by individuals who claim to have been taken against their will by non-human entities, subjected to physical examinations, and returned with partial or no memory of the event — is
I_1_06 — SETI vs UAP: Scientific Divide
The relationship between SETI (Search for Extraterrestrial Intelligence) and UAP/UFO research represents one of the most striking paradigm divides in modern science. Both fields nominally address the same question — are
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
I_4_03 — USO Hotspots and Underwater Anomaly Zones
Unidentified Submerged Objects (USOs) — anomalous phenomena observed in or entering/exiting bodies of water — have been reported from specific geographic zones with particular concentration since the 1940s. The Catalina
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