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.

59 results for "Euler number" — page 2 of 3

E_4_04 Verified Cataclysms & Chronology

E_4_04 — Mathematical Encoding in Mythology

Certain numbers appear with suspicious regularity across ancient mythologies worldwide: 72 (Egyptian conspirators against Osiris, degrees of precessional shift per degree), 108 (Hindu/Buddhist sacred number, suitors of P

mathematical encoding precessional numbers 72 108 432000 25920
Q_4_06 Verified Cosmology & Physics

Q_4_06 — Baryon Asymmetry and Matter-Antimatter

One of the deepest unsolved problems in physics is the baryon asymmetry of the universe — the observed predominance of matter over antimatter. For every ~10⁹ photons in the cosmic microwave background, there is approxima

baryon asymmetry matter antimatter baryogenesis Sakharov conditions CP violation baryon number violation
Q_4_13 Verified Cosmology & Physics

Q_4_13 — Classical Mechanics: Newton, Lagrange, Hamilton, and the Action Principle

Classical mechanics — the study of the motion of bodies under the action of forces — is the oldest and most mature branch of physics, tracing from Galileo's kinematics (1638) and Newton's three laws and universal gravita

classical mechanics Newton Lagrange Hamilton action principle least action
Q_2_12 Verified Cosmology & Physics

Q_2_12 — Cosmic Nucleosynthesis and Primordial Helium Abundance

Big Bang nucleosynthesis (BBN) — the formation of the lightest elements during the first ~20 minutes after the Big Bang — stands as one of the most remarkable quantitative successes of modern cosmology. With only one fre

Big Bang nucleosynthesis BBN primordial nucleosynthesis helium abundance deuterium abundance lithium problem
Q_3_05 Verified Cosmology & Physics

Q_3_05 — Olbers' Paradox and the Dark Night Sky

Olbers' paradox — named after German astronomer Heinrich Olbers (1826), though discussed earlier by Kepler (1610), Halley (1720), and de Chéseaux (1744) — asks: if the universe is infinite, static, and uniformly filled w

Olbers' paradox dark night sky cosmic expansion finite age universe Big Bang lookback time
Q_3_02 Credible Cosmology & Physics

Q_3_02 — Ancient-Modern Scientific Parallels Synthesis

Every major ancient cosmological tradition contains concepts that map remarkably onto modern scientific discoveries. From the Hindu kalpa aligning within 5% of Earth's actual age, to the universal "cosmic egg" motif mirr

ancient-modern parallels Hindu kalpa cosmic egg Big Bang creation from clay abiogenesis
Credible

INTERDOC_34 — Mathematics, Nature, and the Universal Language

[KEY FINDING] Eugene Wigner's 1960 essay "The Unreasonable Effectiveness of Mathematics in the Natural Sciences" (Communications in Pure and Applied Mathematics) posed what remains one of the deepest unsolved problems in

mathematics nature Fibonacci fractals Mandelbrot Wigner unreasonable effectiveness

InterDoc: Productive Fictions — Real Effects from Nonexistent Referents

productive fictions false theories phlogiston caloric luminiferous aether imaginary numbers
G_2_05 Verified Modern Frameworks

G_2_05 — Graph Theory and Knowledge Network Analysis

Graph theory — the mathematical study of networks of nodes (vertices) connected by edges (links) — provides a rigorous framework for analyzing the structure of connections in systems ranging from ancient social hierarchi

graph theory network analysis knowledge graphs small world scale-free Euler
G_2_01 Verified Modern Frameworks

G_2_01 — Network Science and Complex Systems Applied to Ancient Trade

Network science—the mathematical study of complex interconnected systems—has emerged as a powerful tool for understanding ancient trade, cultural transmission, and civilizational collapse. By modeling ancient trade route

network science complex systems scale-free networks small-world collapse cascade agent-based modeling
O_2_20 Dubious Earth Anomalies

O_2_20 — Hollow Earth Theory

The Hollow Earth theory proposes that the planet's interior is partially or entirely hollow, potentially containing habitable spaces, inner suns, atmospheres, or even advanced civilizations. This idea has ancient roots i

hollow Earth inner sun Halley Symmes Euler Agartha
D_5_04 Verified Sites & Artifacts

D_5_04 — Pythagorean Harmony, Sacred Sound, and the Music of the Spheres

The Pythagorean discovery that musical harmony is governed by simple mathematical ratios (octave = 2:1, fifth = 3:2, fourth = 4:3) is one of the most consequential insights in intellectual history — the first demonstrati

Pythagoras Pythagorean Music of the Spheres harmony of the spheres musica universalis harmonic ratios
D_5_05 Verified Sites & Artifacts

D_5_05 — Fibonacci Sequence and Sacred Ratios in Nature

The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144...) — where each number is the sum of the two preceding numbers — appears with remarkable frequency in nature, architecture, and art. The ratio of consecu

Fibonacci golden ratio phi 1.618 phyllotaxis spiral
ZD_1_13 Verified Information & Computation

ZD_1_13 — Kolmogorov Complexity and Algorithmic Information Theory

Kolmogorov complexity (also called algorithmic complexity, descriptive complexity, or program-size complexity) — the length of the shortest computer program (on a fixed universal Turing machine) that produces a given str

Kolmogorov complexity algorithmic information theory algorithmic randomness incompressibility minimal description length Solomonoff
ZD_1_09 Verified Information & Computation

ZD_1_09 — Conway's Game of Life and Recreational Mathematics

Conway's Game of Life (1970), a two-dimensional cellular automaton devised by mathematician John Horton Conway (1937–2020), stands as perhaps the most famous example of how astonishingly complex behavior can arise from e

Game of Life cellular automata Conway recreational information-computation emergence self-replication
ZD_5_01 Verified Information & Computation

ZD_5_01 — Graph Theory and Algorithms

Graph theory — the mathematical study of graphs (networks of vertices/nodes connected by edges/links) — is one of the most widely applicable branches of mathematics, modeling everything from social networks and transport

graph theory graph algorithm shortest path network flow Euler path Dijkstra
L_3_11 Verified Genetics & Origins

L_3_11 — Genetics of Taste and Dietary Adaptation

Taste perception — the ability to detect sweet, salty, sour, bitter, and umami (savory) stimuli — is mediated by genetically encoded receptor proteins whose variation across individuals and populations reflects evolution

taste genetics TAS2R_4_05 PTC PROP bitter taste umami
Y_5_05 Speculative Altered States

Y_5_05 — Psychic Phenomena: Meta-Analyses and Scientific Evaluation

Parapsychology — the scientific study of purported psychic (psi) phenomena including telepathy, clairvoyance, precognition, and psychokinesis — occupies a unique and contested position in science. Over 130+ years, thousa

parapsychology psi research telepathy clairvoyance precognition psychokinesis
P_5_01 Credible Philosophy & Meaning

P_5_01 — Is Mathematics Discovered or Invented?

One of the oldest and most consequential questions in philosophy: Does mathematics exist independently of human minds (Platonism), or is it a human invention — a language we construct to describe patterns (formalism/cons

mathematical platonism formalism intuitionism Gödel Wigner unreasonable effectiveness
N_1_03 Verified Secret Societies

N_1_03 — Pythagorean Brotherhood as Proto-Secret Society

Pythagoras of Samos (~570-495 BCE) was a Greek philosopher, mathematician, and mystic who founded a communal religious-philosophical society in the Greek colony of Croton (modern Calabria, southern Italy) around 530 BCE.

Pythagoras Pythagorean brotherhood Croton Music of the Spheres tetractys akousmatikoi