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.

456 results for "analytic number theory" — page 10 of 23

Q_4_05 Verified Cosmology & Physics

Q_4_05 — Modified Gravity Theories

Modified gravity theories propose that the observed discrepancies between luminous matter and gravitational dynamics — traditionally attributed to dark matter — instead result from a breakdown or modification of Newtonia

modified gravity MOND Modified Newtonian Dynamics Milgrom TeVeS tensor-vector-scalar
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_28 Speculative Cosmology & Physics

Q_4_28 — Tachyon Physics: Theoretical Possibility

Tachyons are hypothetical particles that travel faster than the speed of light, first given rigorous theoretical treatment by Gerald Feinberg of Columbia University in 1967. The concept builds on a peculiar feature of sp

tachyon faster-than-light imaginary mass causality Feinberg superluminal
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_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
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
Verified

INTERDOC_60 — AI Consciousness and Moral Status: The Triadic Framework

As AI systems cross behavioral thresholds once considered markers of intelligence — passing bar exams at the 90th percentile (GPT-4, March 2023), solving protein folding (AlphaFold2, 2020), exhibiting emergent reasoning

artificial consciousness moral status IIT phi global workspace theory alignment problem phenomenal experience
Credible

INTERDOC_37 — Consciousness, Entity Contact, and the Contact Nexus

[KEY FINDING] Entity encounters are reported through at least seven independent consciousness-alteration pathways: (1) Psychedelics — DMT, psilocybin, ayahuasca, iboga, 5-MeO-DMT, mescaline; (2) Meditation — deep jhāna s

entity contact altered states consciousness DMT meditation shamanic journey

InterDoc: Productive Fictions — Real Effects from Nonexistent Referents

productive fictions false theories phlogiston caloric luminiferous aether imaginary numbers
Verified

INTERDOC_11 — Mitochondrial Eve, Y-Chromosomal Adam, and the Convergence Problem

Mitochondrial Eve — the most recent common ancestor (MRCA) of all living humans through an unbroken maternal line — was identified through mtDNA analysis by Rebecca Cann, Mark Stoneking, and Allan Wilson at UC Berkeley i

mitochondrial Eve Y-chromosomal Adam coalescent theory most recent common ancestor MRCA molecular clock
ZB_2_12 Verified Ecology & Biology

ZB_2_12 — Biological Scaling and Allometry

Allometry — the study of how biological characteristics scale with body size — reveals some of the most universal quantitative laws in biology. From bacteria to blue whales, spanning 21 orders of magnitude in body mass,

allometry biological scaling metabolic scaling Kleiber's law quarter-power scaling three-quarter power
ZB_5_02 Verified Ecology & Biology

ZB_5_02 — Biological Networks and Systems Biology

Systems biology investigates how biological function emerges from the collective interactions of molecular components — genes, proteins, metabolites, and signaling molecules — organized into networks. Rather than studyin

systems biology biological networks gene regulatory networks protein-protein interactions metabolic networks signaling pathways
ZC_3_15 Verified Social Science

ZC_3_15 — Political Economy: Capitalism, Labor, and Institutional Structure

Political economy studies the interrelationship between political power and economic processes — how states, markets, classes, institutions, and ideologies shape the production, distribution, and consumption of wealth. T

political economy capitalism Marx Adam Smith neoliberalism labor theory of value
ZC_3_08 Verified Social Science

ZC_3_08 — Aging and Gerontology

Social gerontology is the study of aging as a social process — examining how societies construct old age, how aging populations transform social institutions, and how older adults experience later life. Global demographi

aging gerontology elderly ageism life course retirement
ZC_3_07 Verified Social Science

ZC_3_07 — Disability Studies

Disability studies is an interdisciplinary field examining disability as a social, cultural, and political phenomenon rather than a purely medical one. The foundational distinction is between the medical model (disabilit

disability studies social model medical model impairment ableism ADA
ZC_3_02 Verified Social Science

ZC_3_02 — Sociology of Science and Knowledge

Sociology of knowledge examines how social conditions shape what counts as knowledge. Karl Mannheim (Ideology and Utopia, 1929/1936) argued that thought is "existentially determined" — shaped by the thinker's social posi

sociology of science sociology of knowledge Merton Kuhn social construction SSK
ZC_3_01 Verified Social Science

ZC_3_01 — Migration and Diaspora Studies

Migration studies examines the causes, processes, and consequences of human movement across geographic and political boundaries, while diaspora studies focuses on dispersed communities maintaining connections to homeland

migration diaspora immigration refugees assimilation acculturation
ZC_5_09 Verified Social Science

ZC_5_09 — Sociology of Race and Ethnicity: Construction, Racism, and Intersectionality

The sociology of race and ethnicity studies how racial and ethnic categories are socially constructed, how racism operates as a system of power, and how racial and ethnic identities shape life chances, social institution

race ethnicity racism social construction Critical Race Theory intersectionality