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.

94 results for "prime number theorem" — page 2 of 5

Z_5_17 Verified Molecular Biology

Z_5_17 — CRISPR-Cas9 Mechanism and Applications

CRISPR-Cas9 (Clustered Regularly Interspaced Short Palindromic Repeats and CRISPR-associated protein 9) is a revolutionary genome-editing technology adapted from the natural adaptive immune system of bacteria and archaea

CRISPR Cas9 gene editing guide RNA PAM double-strand break
Z_5_01 Verified Molecular Biology

Z_5_01 — CRISPR Applications and Genetic Engineering

CRISPR-Cas9 (Clustered Regularly Interspaced Short Palindromic Repeats) is a revolutionary gene-editing technology adapted from a bacterial immune defense system, enabling precise, programmable modification of DNA in vir

CRISPR Cas9 gene editing genetic engineering CRISPR-Cas9 guide RNA
Z_2_05 Verified Molecular Biology

Z_2_05 — Gene Therapy: History and Progress

Gene therapy — the introduction, alteration, or replacement of genetic material within a patient's cells to treat or cure disease — has evolved from a speculative concept to an approved clinical reality over five decades

gene therapy gene replacement viral vector adeno-associated virus AAV lentivirus
Z_1_07 Verified Molecular Biology

Z_1_07 — Genetic Recombination and Crossing Over

Genetic recombination — the physical exchange of DNA segments between homologous chromosomes during meiosis — is a fundamental biological process that generates genetic diversity, ensures proper chromosome segregation, a

recombination crossing over meiosis chiasma homologous recombination linkage
Z_1_10 Verified Molecular Biology

Z_1_10 — Chromosome Evolution and Karyotype

Karyotype — the number, size, and morphology of chromosomes in a cell — varies enormously across species, from n=1 in the ant Myrmecia pilosula to n=630 in the fern Ophioglossum reticulatum. Humans have 2n=46 (23 pairs),

chromosome evolution karyotype chromosome number Robertsonian translocation chromosome fusion human chromosome 2
E_4_06 Verified Cataclysms & Chronology

E_4_06 — Kali Yuga / World Ages Mathematics

This document examines Kali Yuga / World Ages Mathematics, a topic within the Cataclysms and Chronology research area. Key areas of investigation include The Four Yugas — Structure and Duration, Higher-Order Cycles, Sour

Kali Yuga Satya Yuga Treta Yuga Dvapara Yuga Maha Yuga Kalpa
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_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_4_32 Verified Cosmology & Physics

Q_4_32 — The Fundamental Constants: Physics, Life, and Mathematics

The universe runs on numbers — and not arbitrary ones. A small set of fundamental constants, mostly dimensionless, determines every property of matter, energy, space, and time. Change any of them by a fraction and atoms

fundamental constants physical constants CODATA 2022 speed of light Planck constant gravitational constant
Q_4_10 Verified Cosmology & Physics

Q_4_10 — Fluid Dynamics: Turbulence, Navier-Stokes, and the Millennium Problem

Fluid dynamics is the study of the motion of fluids (liquids and gases) — a branch of physics with applications spanning aeronautics, meteorology, oceanography, astrophysics, cardiovascular medicine, chemical engineering

fluid dynamics Navier-Stokes equations turbulence Reynolds number viscosity laminar flow
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_2_01 Verified Cosmology & Physics

Q_2_01 — Black Holes, Singularities, and Information

Black holes are regions of spacetime where gravity is so extreme that nothing — not even light — can escape once it crosses the event horizon. Predicted by general relativity (Schwarzschild solution, 1916), regarded as m

black hole singularity event horizon Schwarzschild Kerr Hawking radiation
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_03 Verified Modern Frameworks

G_2_03 — Bayesian Reasoning and Archaeological Inference

Bayesian reasoning — the systematic updating of probabilities for hypotheses as new evidence is acquired — has transformed archaeology, chronology, and the evaluation of disputed historical claims since the 1990s. At its

Bayesian inference Bayes theorem prior probability posterior likelihood radiocarbon calibration
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
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