RESEARCH BASE

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

3,721 Documents 34 Sections 43,623 Citations 34,854 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.

6 results for "curvature"

Q_1_12 Cosmology & Physics

Q_1_12 — Conformal Cyclic Cosmology: Penrose's Vision of Eternal Recurrence

Conformal Cyclic Cosmology (CCC), proposed by Roger Penrose in 2005, envisions the universe as an infinite sequence of "aeons" — each beginning with a Big Bang-like event and ending in an infinitely expanded, cold state

conformal cyclic cosmology CCC Roger Penrose aeons conformal geometry conformal boundary

D_5_19 Verified Sites & Artifacts

D_5_19 — Optical Illusions, Entasis, and Perceptual Engineering in Ancient Architecture

Ancient architects across multiple civilizations independently discovered and exploited principles of human visual perception — engineering deliberate optical corrections and illusions into their most important structure

optical illusion entasis Parthenon optical refinements Iktinos Kallikrates

ZD_1_12 Verified Information & Computation

ZD_1_12 — Information Geometry and Fisher Information

Information geometry is the mathematical field that applies differential geometry — the mathematics of curved spaces, manifolds, metrics, and connections — to the study of probability distributions and statistical models

information geometry Fisher information statistical manifold Riemannian geometry metric tensor natural gradient

ZA_2_02 Physics & Quantum

ZA_2_02 — Gravity, Gravitational Waves, and Anomalous Gravitational Claims

Gravity — the weakest of the four fundamental forces yet the dominant force at cosmic scales — remains the most mysterious force in physics. Newton's law of universal gravitation (1687) described gravitational attraction

gravity gravitational waves LIGO Virgo general relativity Newton

V_3_10 Mathematics & Information

V_3_10 — Tensor Calculus and Differential Geometry: The Mathematics of Curved Spaces

Tensor calculus and differential geometry provide the mathematical language for describing curved spaces — from the geometry of Earth's surface to the curvature of spacetime in general relativity. Developed through the w

tensor calculus differential geometry manifolds Riemannian geometry curvature Riemann curvature tensor

V_2_04 Mathematics & Information

V_2_04 — Geometry: Euclid to Non-Euclidean Revolution

Euclid's Elements* (c. 300 BCE, Alexandria) is the most influential textbook in human history — the second most printed book after the Bible — establishing the axiomatic method** (definitions, postulates, common notions

geometry Euclid Elements axiom parallel postulate Lobachevsky

BROWSE BY SECTION — 3,721 documents across 34 fields

A Foundations 112 Docs B Beings & Entities 114 Docs C Global Traditions 116 Docs D Sites & Artifacts 116 Docs E Cataclysms & Chronology 109 Docs F Lost Connections 111 Docs G Modern Frameworks 99 Docs H Suppression & Thesis 95 Docs I UAP Disclosure 87 Docs J Ancient Technology 103 Docs K Consciousness 100 Docs L Genetics & Origins 92 Docs M Forbidden Archaeology 103 Docs N Secret Societies 87 Docs O Earth Anomalies 108 Docs P Philosophy & Meaning 104 Docs Q Cosmology & Physics 100 Docs R Biology & Evolution 94 Docs S Future Technology 100 Docs T Psychology & Social 112 Docs U Art, Music & Culture 122 Docs V Mathematics & Information 87 Docs W World Civilizations 140 Docs X Medicine & Healing 126 Docs Y Altered States 113 Docs Z Molecular Biology 112 Docs ZA Physics & Quantum 117 Docs ZB Ecology & Biology 118 Docs ZC Social Science 111 Docs ZD Information & Computation 95 Docs ZE Ethics & Applied Philosophy 99 Docs ZF Oceanography 105 Docs ZG Linguistics & Communication 110 Docs ZH Archaeoastronomy 114 Docs