RESEARCH BASE

Search 3,721 documents across 34 fields — every claim tier-rated by evidence

3,721 Documents 34 Sections 43,625 Citations 34,852 Keywords Indexed 4 Evidence Tiers

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.

1,346 results for "foundations of mathematics" — page 45 of 68

I_3_05 Verified UAP Disclosure

I_3_05 — Phoenix Lights (1997) and Mass Sighting Events Deep Dive

The Phoenix Lights event of March 13, 1997, is the largest mass UAP sighting in United States history by number of witnesses — estimates range from several thousand to over 10,000 people across a 300-mile corridor from H

Phoenix Lights March 13 1997 V-formation Arizona Fife Symington Governor testimony
I_3_01 Verified UAP Disclosure

I_3_01 — Military UFO/UAP Encounters: Case Catalog

This document catalogs the most significant military and multi-witness UAP encounters from 1944 to the present, rated individually using the 5-tier system. The catalog includes 23 primary cases spanning 12 countries, wit

Tic Tac GIMBAL GOFAST Mosul Orb USS Nimitz USS Roosevelt
I_1_11 Credible UAP Disclosure

I_1_11 — Foo Fighters & Ghost Rockets

The "foo fighters" of World War II (1944–1945) and the "ghost rockets" of Scandinavia (1946) represent the earliest well-documented waves of anomalous aerial phenomena reported by trained military observers — predating t

foo fighters ghost rockets World War II UFO history 415th Night Fighter Squadron Scandinavia
I_5_12 Credible UAP Disclosure

I_5_12 — AAWSAP / Skinwalker Ranch — DIA Program Analysis

The Advanced Aerospace Weapon System Applications Program (AAWSAP) was a classified Defense Intelligence Agency (DIA) program that operated from 2008 to 2012 with approximately $22 million in funding, secured through a C

AAWSAP Advanced Aerospace Weapon System Applications Program AATIP Skinwalker Ranch DIA Defense Intelligence Agency
I_5_07 Credible UAP Disclosure

I_5_07 — Pre-Modern UAP Accounts — Historical Sightings

Accounts of anomalous aerial phenomena predate the modern UFO era (1947) by millennia. Classical authors including Livy, Pliny the Elder, Plutarch, and Josephus recorded "prodigies" involving shields, spears, and armies

historical UAP Nuremberg 1561 Basel 1566 broadsheet aerial phenomena prodigies
I_4_15 Speculative UAP Disclosure

I_4_15 — UAP Material Science: Metamaterials, Isotope Ratios & Physical Evidence

The investigation of alleged UAP-associated physical materials represents one of the most promising yet controversial avenues for empirical UFO research. Over decades, various individuals and organizations have collected

uap-material-science metamaterials isotope-ratios uap-physical-evidence art-parts exotic-alloys
I_4_05 Credible UAP Disclosure

I_4_05 — UAP Photography, Video Evidence, and Analysis

Visual evidence — photographs and videos — has been central to UAP discourse since the mid-20th century, yet remains among the most contentious categories of evidence due to challenges of provenance, chain of custody, ca

UAP video UAP photograph FLIR GIMBAL GOFAST infrared
I_4_04 Verified UAP Disclosure

I_4_04 — UAP Propulsion Theories and Metamaterials

The observed performance characteristics attributed to UAP — instantaneous acceleration, hypersonic speed without sonic booms, apparent anti-gravity hover, and trans-medium travel — would require propulsion physics far b

UAP propulsion Alcubierre drive warp drive metamaterials TTSA Art's Parts
V_4_05 Verified Mathematics & Information

V_4_05 — Origami Mathematics and Paper Folding

Origami — the art of paper folding — conceals a rich mathematical framework that has emerged as a serious branch of computational geometry with applications from space engineering to medical devices. The mathematics of o

origami paper folding Huzita-Hatori axioms flat foldability computational origami crease pattern
V_3_02 Verified Mathematics & Information

V_3_02 — Graph Theory & Network Mathematics

Graph theory — the mathematics of networks, connections, and relationships — began with Euler's Königsberg bridge problem (1736) and has become one of the most broadly applicable branches of mathematics, with direct rele

graph theory network Euler Königsberg Erdős random graph
V_3_19 Verified Mathematics & Information

V_3_19 — Mathematical Biology and Biomathematics

Mathematical biology — the application of mathematical models, statistical methods, and computational tools to biological systems — has become indispensable for understanding phenomena from molecular interactions to glob

mathematical-biology population-dynamics epidemiological-modeling lotka-volterra reaction-diffusion turing-patterns
V_3_00 Mathematics & Information

V_3_00 — Applied Mathematics: Subfolder Summary

V_2_00 Mathematics & Information

V_2_00 — Pure Mathematics: Subfolder Summary

V_2_03 Verified Mathematics & Information

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

algebra Al-Khwarizmi equation quadratic cubic Brahmagupta
M_5_26 Verified Forbidden Archaeology

M_5_26 — Levantine Archaeology: Crossroads of Ancient Civilizations

The Levant — the eastern Mediterranean corridor encompassing modern Israel, Palestine, Jordan, Lebanon, Syria, and southeastern Turkey — is arguably the most archaeologically consequential region on Earth. It witnessed t

levant fertile crescent natufian jericho neolithic ancient near east
M_5_01 Verified Forbidden Archaeology

M_5_01 — Vitrified Forts of Scotland and Beyond

Over 60 hillforts across Scotland — and dozens more across France, Sweden, Germany, and beyond — exhibit walls whose stones have been fused together by extreme heat, reaching temperatures of 1,000–1,200°C.

vitrified fort vitrification Scotland hillfort Tap o' Noth Craig Phadrig
M_5_07 Speculative Forbidden Archaeology

M_5_07 — Impossible Ancient Maps of Antarctica: Critical Assessment

Among the most provocative claims in alternative history is the assertion that several medieval and Renaissance-era maps depict Antarctica — a continent not officially discovered until 1820 and not mapped until the 20th

Antarctica Piri Reis Oronteus Finaeus Hapgood ice-free subglacial
M_5_18 Verified Forbidden Archaeology

M_5_18 — Mound Builders: Adena, Hopewell, Mississippian, and the Erasure of Indigenous Achievement

The "Mound Builders" refers to the diverse Indigenous North American cultures that constructed elaborate earthen mounds across eastern North America from approximately 3700 BCE (Watson Brake, Louisiana) through European

mound builders adena hopewell mississippian cahokia serpent mound
M_3_05 Verified Forbidden Archaeology

M_3_05 — Serapeum of Saqqara Precision Stone Boxes

The Serapeum of Saqqara is an underground burial complex near Memphis, Egypt, where the sacred Apis bulls of the god Ptah-Sokar-Osiris were interred from at least the New Kingdom (c. 1400 BCE) through the Ptolemaic perio

Serapeum Saqqara Apis bull granite box sarcophagus precision
M_2_08 Verified Forbidden Archaeology

M_2_08 — Underwater Structures of Lake Titicaca & Japan

Multiple significant underwater stone formations have been documented in two distant but thematically related regions: Lake Titicaca (Bolivia/Peru) and the waters surrounding the southern Japanese Ryukyu Islands.

Lake Titicaca underwater ruins Wanaku Akapana sonar Sillustani