GitHub - dMajoIT/Books: "Books are my escape from my own mind." ― Pual Auster

Top 5 Greatest Popular Science Books of all Time

The Selfish Gene
Richard Dawkins

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A Brief History of Time
Stephen Hawking

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The Mismeasure of Man
Stephen Jay Gould

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On the Origin of Species
Charles Darwin

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Bad Science
Ben Goldacre

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12 Classic Mathematics Books for Lifelong Learners

Ten books that changed the world

The Second Sex : The Second Sex (French: Le Deuxième Sexe) is a 1949 book by the French existentialist Simone de Beauvoir, in which the author discusses the treatment of women throughout history. Beauvoir researched and wrote the book in about 14 months between 1946 and 1949. She published it in two volumes, Facts and Myths and Lived Experience (Les faits et les mythes and L'expérience vécue in French). Some chapters first appeared in Les Temps modernes. One of Beauvoir's best-known books, The Second Sex is often regarded as a major work of feminist philosophy and the starting point of second-wave feminism.

The Analects: The Analects (Chinese: 論語; pinyin: Lúnyǔ; Old Chinese: [r]u[n] ŋ(r)aʔ; meaning "Selected Sayings"), also known as the Analects of Confucius, is an ancient Chinese book composed of a collection of sayings and ideas attributed to the Chinese philosopher Confucius and his contemporaries, traditionally believed to have been compiled and written by Confucius's followers. It is believed to have been written during the Warring States period (475–221 BC), and it achieved its final form during the mid-Han dynasty (206 BC–220 AD). By the early Han dynasty the Analects was considered merely a "commentary" on the Five Classics, but the status of the Analects grew to be one of the central texts of Confucianism by the end of that dynasty. During the late Song dynasty (960–1279) the importance of the Analects as a philosophy work was raised above that of the older Five Classics, and it was recognized as one of the "Four Books". The Analects has been one of the most widely-read and studied books in China for the last 2,000 years, and continues to have a substantial influence on Chinese and East Asian thought and values today. Confucius believed that the welfare of a country depended on the moral cultivation of its people, beginning from the nation's leadership. He believed that individuals could begin to cultivate an all-encompassing sense of virtue through ren, and that the most basic step to cultivating ren was devotion to one's parents and older siblings. He taught that one's individual desires do not need to be suppressed, but that people should be educated to reconcile their desires via rituals and forms of propriety, through which people could demonstrate their respect for others and their responsible roles in society. Confucius taught that a ruler's sense of virtue was his primary prerequisite for leadership. His primary goal in educating his students was to produce ethically well-cultivated men who would carry themselves with gravity, speak correctly, and demonstrate consummate integrity in all things.

The Origin of Species: On the Origin of Species (or, more completely, On the Origin of Species by Means of Natural Selection, or the Preservation of Favoured Races in the Struggle for Life), published on 24 November 1859, is a work of scientific literature by Charles Darwin which is considered to be the foundation of evolutionary biology. Darwin's book introduced the scientific theory that populations evolve over the course of generations through a process of natural selection. It presented a body of evidence that the diversity of life arose by common descent through a branching pattern of evolution. Darwin included evidence that he had gathered on the Beagle expedition in the 1830s and his subsequent findings from research, correspondence, and experimentation. Various evolutionary ideas had already been proposed to explain new findings in biology. There was growing support for such ideas among dissident anatomists and the general public, but during the first half of the 19th century the English scientific establishment was closely tied to the Church of England, while science was part of natural theology. Ideas about the transmutation of species were controversial as they conflicted with the beliefs that species were unchanging parts of a designed hierarchy and that humans were unique, unrelated to other animals. The political and theological implications were intensely debated, but transmutation was not accepted by the scientific mainstream. The book was written for non-specialist readers and attracted widespread interest upon its publication. As Darwin was an eminent scientist, his findings were taken seriously and the evidence he presented generated scientific, philosophical, and religious discussion. The debate over the book contributed to the campaign by T. H. Huxley and his fellow members of the X Club to secularise science by promoting scientific naturalism. Within two decades there was widespread scientific agreement that evolution, with a branching pattern of common descent, had occurred, but scientists were slow to give natural selection the significance that Darwin thought appropriate. During "the eclipse of Darwinism" from the 1880s to the 1930s, various other mechanisms of evolution were given more credit. With the development of the modern evolutionary synthesis in the 1930s and 1940s, Darwin's concept of evolutionary adaptation through natural selection became central to modern evolutionary theory, and it has now become the unifying concept of the life sciences.

Elements: The Elements (Ancient Greek: Στοιχεῖα Stoicheia) is a mathematical treatise consisting of 13 books attributed to the ancient Greek mathematician Euclid in Alexandria, Ptolemaic Egypt c. 300 BC. It is a collection of definitions, postulates, propositions (theorems and constructions), and mathematical proofs of the propositions. The books cover plane and solid Euclidean geometry, elementary number theory, and incommensurable lines. Elements is the oldest extant large-scale deductive treatment of mathematics. It has proven instrumental in the development of logic and modern science, and its logical rigor was not surpassed until the 19th century. Euclid's Elements has been referred to as the most successful and influential textbook ever written. It was one of the very earliest mathematical works to be printed after the invention of the printing press and has been estimated to be second only to the Bible in the number of editions published since the first printing in 1482, with the number reaching well over one thousand. For centuries, when the quadrivium was included in the curriculum of all university students, knowledge of at least part of Euclid's Elements was required of all students. Not until the 20th century, by which time its content was universally taught through other school textbooks, did it cease to be considered something all educated people had read. Geometry emerged as an indispensable part of the standard education of the English gentleman in the eighteenth century; by the Victorian period it was also becoming an important part of the education of artisans, children at Board Schools, colonial subjects and, to a rather lesser degree, women. ... The standard textbook for this purpose was none other than Euclid's The Elements.

The Interpretation of Dreams: The Interpretation of Dreams (German: Die Traumdeutung) is an 1899 book by Sigmund Freud, the founder of psychoanalysis, in which the author introduces his theory of the unconscious with respect to dream interpretation, and discusses what would later become the theory of the Oedipus complex. Freud revised the book at least eight times and, in the third edition, added an extensive section which treated dream symbolism very literally, following the influence of Wilhelm Stekel. Freud said of this work, "Insight such as this falls to one's lot but once in a lifetime." Dated 1900, the book was first published in an edition of 600 copies, which did not sell out for eight years. The Interpretation of Dreams later gained in popularity, and seven more editions were published in Freud's lifetime. Because of the book's length and complexity, Freud also wrote an abridged version called On Dreams. The original text is widely regarded as one of Freud's most significant works.

A Sand County Almanac: A Sand County Almanac: And Sketches Here and There is a 1949 non-fiction book by American ecologist, forester, and environmentalist Aldo Leopold. Describing the land around the author's home in Sauk County, Wisconsin, the collection of essays advocate Leopold's idea of a "land ethic", or a responsible relationship existing between people and the land they inhabit. Edited and published by his son, Luna, a year after Leopold's death, the book is considered a landmark in the American conservation movement. The book has had over two million copies printed and has been translated into at least fourteen languages. It has informed and changed the environmental movement and stimulated a widespread interest in ecology as a science.

The Communist Manifesto: The Communist Manifesto, originally the Manifesto of the Communist Party (German: Manifest der Kommunistischen Partei), is an 1848 political document by German philosophers Karl Marx and Friedrich Engels. Commissioned by the Communist League and originally published in London just as the Revolutions of 1848 began to erupt, the Manifesto was later recognised as one of the world's most influential political documents. It presents an analytical approach to the class struggle (historical and then-present) and the conflicts of capitalism and the capitalist mode of production, rather than a prediction of communism's potential future forms. The Communist Manifesto summarises Marx and Engels' theories concerning the nature of society and politics, namely that in their own words "[t]he history of all hitherto existing society is the history of class struggles". It also briefly features their ideas for how the capitalist society of the time would eventually be replaced by socialism. In the last paragraph of the Manifesto, the authors call for a "forcible overthrow of all existing social conditions", which served as a call for communist revolutions around the world. In 2013, The Communist Manifesto was registered to UNESCO's Memory of the World Programme along with Marx's Capital, Volume I.

Beloved: Beloved is a 1987 novel by the American writer Toni Morrison. Set after the American Civil War (1861–65), it is inspired by the life of Margaret Garner, an African American who escaped slavery in Kentucky in late January 1856 by crossing the Ohio River to Ohio, a free state. Captured, she killed her child rather than have her taken back into slavery. Morrison had come across an account of Garner, "A Visit to the Slave Mother who Killed Her Child" in an 1856 newspaper article published in the American Baptist, and reproduced in The Black Book, a miscellaneous compilation of black history and culture that Morrison edited in 1974. The novel won the Pulitzer Prize for Fiction in 1988 and was a finalist for the 1987 National Book Award. It was adapted as a 1998 movie of the same name, starring Oprah Winfrey. A New York Times survey of writers and literary critics ranked it as the best work of American fiction from 1981 to 2006.

The Complete Works of William Shakespeare: Complete Works of William Shakespeare is the standard name given to any volume containing all the plays and poems of William Shakespeare. Some editions include several works which were not completely of Shakespeare's authorship (collaborative writings), such as The Two Noble Kinsmen, which was a collaboration with John Fletcher; Pericles, Prince of Tyre, the first two acts of which were likely written by George Wilkins; or Edward III, whose authorship is disputed.

The Holy Bible: The Bible (from Koine Greek τὰ βιβλία, tà biblía, "the books") is a collection of sacred texts or scriptures. Varying parts of the Bible are considered to be a product of divine inspiration and a record of the relationship between God and humans by Christians, Jews, Samaritans, and Rastafari. The Bible appears in the form of an anthology, a compilation of texts of a variety of forms that are all linked by the belief that they collectively contain the word of God. These texts include theologically-embellished historical accounts, hymns, allegorical erotica, parables, and didactic letters. Those books included in the Bible by a tradition or group are called canonical, indicating that the tradition/group views the collection as the true representation of God's word and will. A number of Biblical canons have evolved, with overlapping and diverging contents from denomination to denomination. The Hebrew Bible overlaps with the Greek Septuagint and the Christian Old Testament. The Christian New Testament is a collection of writings by early Christians, believed to be mostly Jewish disciples of Christ, written in first-century Koine Greek. Among Christian denominations there is some disagreement about what should be included in the canon, primarily about the biblical apocrypha, a list of works that are regarded with varying levels of respect. Attitudes towards the Bible also differ among Christian groups. Roman Catholics, high church Anglicans, Methodists and Eastern Orthodox Christians stress the harmony and importance of both the Bible and sacred tradition, while many Protestant churches focus on the idea of sola scriptura, or scripture alone. This concept arose during the Reformation, and many denominations today support the use of the Bible as the only infallible source of Christian teaching. Others though, advance the concept of prima scriptura in contrast. The Bible has been a massive influence on literature and history, especially in the Western world, where the Gutenberg Bible was the first book printed using movable type. According to the March 2007 edition of Time, the Bible "has done more to shape literature, history, entertainment, and culture than any book ever written. Its influence on world history is unparalleled, and shows no signs of abating." With estimated total sales of over 5 billion copies, it is widely considered to be the most influential and best-selling book of all time. As of the 2000s, it sells approximately 100 million copies annually.

Classical mechanics
${\textbf {F}}={\frac {d}{dt}}(m{\textbf {v}})$ Second law of motion
History Timeline Textbooks
Branches Applied Celestial Continuum Dynamics Kinematics Kinetics Statics Statistical
Fundamentals Acceleration Angular momentum Couple D'Alembert's principle Energy kinetic potential Force Frame of reference Inertial frame of reference Impulse Inertia / Moment of inertia Mass Mechanical power Mechanical work Moment Momentum Space Speed Time Torque Velocity Virtual work
Formulations Newton's laws of motion Analytical mechanics Lagrangian mechanics Hamiltonian mechanics Routhian mechanics Hamilton–Jacobi equation Appell's equation of motion Koopman–von Neumann mechanics
Core topics Damping (ratio) Displacement Equations of motion Euler's laws of motion Fictitious force Friction Harmonic oscillator Inertial / Non-inertial reference frame Mechanics of planar particle motion Motion (linear) Newton's law of universal gravitation Newton's laws of motion Relative velocity Rigid body dynamics Euler's equations Simple harmonic motion Vibration
Rotation Circular motion Rotating reference frame Centripetal force Centrifugal force reactive Coriolis force Pendulum Tangential speed Rotational speed Angular acceleration / displacement / frequency / velocity
Scientists Kepler Galileo Huygens Newton Horrocks Halley Daniel Bernoulli Johann Bernoulli Euler d'Alembert Clairaut Lagrange Laplace Hamilton Poisson Cauchy Routh Liouville Appell Gibbs Koopman von Neumann
Categories Classical mechanics

Quantum mechanics
$i\hbar {\frac {\partial }{\partial t}}\|\psi (t)\rangle ={\hat {H}}\|\psi (t)\rangle$ Schrödinger equation
Introduction Glossary History
Background Classical mechanics Old quantum theory Bra–ket notation Hamiltonian Interference
Fundamentals Coherence Decoherence Complementarity Energy level Entanglement Hamiltonian Uncertainty principle Ground state Interference Measurement Nonlocality Observable Operator Quantum Quantum fluctuation Quantum number Quantum noise Quantum realm Quantum state Quantum system Quantum teleportation Qubit Spin Superposition Symmetry (Spontaneous) symmetry breaking Vacuum state Wave propagation Wave function Wave function collapse Wave–particle duality Matter wave
Effects Zeeman effect Stark effect Aharonov–Bohm effect Landau quantization Quantum Hall effect Quantum Zeno effect Quantum tunnelling Photoelectric effect Casimir effect
Experiments Afshar Bell's inequality Davisson–Germer Double-slit Elitzur–Vaidman Franck–Hertz Leggett–Garg inequality Mach–Zehnder Popper Quantum eraser (delayed-choice) Schrödinger's cat Stern–Gerlach Wheeler's delayed-choice
Formulations Overview Heisenberg Interaction Matrix Phase-space Schrödinger Sum-over-histories (path-integral)
Equations Dirac Hellmann–Feynman Klein–Gordon Lippmann–Schwinger Pauli Rydberg Schrödinger
Interpretations Overview Bayesian Consistent histories Copenhagen de Broglie–Bohm Ensemble Hidden-variable Many-worlds Objective collapse Quantum logic Relational Stochastic Transactional
Advanced topics Quantum annealing Quantum chaos Quantum computing Density matrix Quantum field theory Fractional quantum mechanics Quantum gravity Quantum information science Quantum machine learning Perturbation theory (quantum mechanics) Relativistic quantum mechanics Scattering theory Spontaneous parametric down-conversion Quantum statistical mechanics
Scientists Aharonov Bell Blackett Bloch Bohm Bohr Born Bose de Broglie Candlin Compton Dirac Davisson Debye Ehrenfest Einstein Everett Fock Fermi Feynman Glauber Gutzwiller Heisenberg Hilbert Jordan Kramers Pauli Lamb Landau Laue Moseley Millikan Onnes Planck Rabi Raman Rydberg Schrödinger Sommerfeld von Neumann Weyl Wien Wigner Zeeman Zeilinger Goudsmit Uhlenbeck Yang
Categories Quantum mechanics

Historical cosmologies

Name	Author and date	Classification	Remarks
Hindu cosmology	Rigveda (c. 1700–1100 BC)	Cyclical or oscillating, Infinite in time	Primal matter remains manifest for 311.04 trillion years and unmanifest for an equal length. The universe remains manifest for 4.32 billion years and unmanifest for an equal length. Innumerable universes exist simultaneously. These cycles have and will last forever, driven by desires.
Jain cosmology	Jain Agamas (written around 500 AD as per the teachings of Mahavira 599–527 BC)	Cyclical or oscillating, eternal and finite	Jain cosmology considers the loka, or universe, as an uncreated entity, existing since infinity, the shape of the universe as similar to a man standing with legs apart and arm resting on his waist. This Universe, according to Jainism, is broad at the top, narrow at the middle and once again becomes broad at the bottom.
Babylonian cosmology	Babylonian literature (c. 3000 BC)	Flat earth floating in infinite "waters of chaos"	The Earth and the Heavens form a unit within infinite "waters of chaos"; the earth is flat and circular, and a solid dome (the "firmament") keeps out the outer "chaos"-ocean.
Eleatic cosmology	Parmenides (c. 515 BC)	Finite and spherical in extent	The Universe is unchanging, uniform, perfect, necessary, timeless, and neither generated nor perishable. Void is impossible. Plurality and change are products of epistemic ignorance derived from sense experience. Temporal and spatial limits are arbitrary and relative to the Parmenidean whole.
Biblical cosmology	Genesis creation narrative	Earth floating in infinite "waters of chaos"	The Earth and the Heavens form a unit within infinite "waters of chaos"; the "firmament" keeps out the outer "chaos"-ocean.
Atomist universe	Anaxagoras (500–428 BC) & later Epicurus	Infinite in extent	The universe contains only two things: an infinite number of tiny seeds (atoms) and the void of infinite extent. All atoms are made of the same substance, but differ in size and shape. Objects are formed from atom aggregations and decay back into atoms. Incorporates Leucippus' principle of causality: "nothing happens at random; everything happens out of reason and necessity". The universe was not ruled by gods.
Pythagorean universe	Philolaus (d. 390 BC)	Existence of a "Central Fire" at the center of the Universe.	At the center of the Universe is a central fire, around which the Earth, Sun, Moon and planets revolve uniformly. The Sun revolves around the central fire once a year, the stars are immobile. The earth in its motion maintains the same hidden face towards the central fire, hence it is never seen. First known non-geocentric model of the Universe.
De Mundo	Pseudo-Aristotle (d. 250 BC or between 350 and 200 BC)	The Universe then is a system made up of heaven and earth and the elements which are contained in them.	There are "five elements, situated in spheres in five regions, the less being in each case surrounded by the greater – namely, earth surrounded by water, water by air, air by fire, and fire by ether – make up the whole Universe."
Stoic universe	Stoics (300 BC – 200 AD)	Island universe	The cosmos is finite and surrounded by an infinite void. It is in a state of flux, and pulsates in size and undergoes periodic upheavals and conflagrations.
Aristotelian universe	Aristotle (384–322 BC)	Geocentric, static, steady state, finite extent, infinite time	Spherical earth is surrounded by concentric celestial spheres. Universe exists unchanged throughout eternity. Contains a fifth element, called aether, that was added to the four classical elements.
Aristarchean universe	Aristarchus (circa 280 BC)	Heliocentric	Earth rotates daily on its axis and revolves annually about the sun in a circular orbit. Sphere of fixed stars is centered about the sun.
Ptolemaic model	Ptolemy (2nd century AD)	Geocentric (based on Aristotelian universe)	Universe orbits around a stationary Earth. Planets move in circular epicycles, each having a center that moved in a larger circular orbit (called an eccentric or a deferent) around a center-point near Earth. The use of equants added another level of complexity and allowed astronomers to predict the positions of the planets. The most successful universe model of all time, using the criterion of longevity. Almagest (the Great System).
Aryabhatan model	Aryabhata (499)	Geocentric or Heliocentric	The Earth rotates and the planets move in elliptical orbits around either the Earth or Sun; uncertain whether the model is geocentric or heliocentric due to planetary orbits given with respect to both the Earth and Sun.
Medieval universe	Medieval philosophers (500–1200)	Finite in time	A universe that is finite in time and has a beginning is proposed by the Christian philosopher John Philoponus, who argues against the ancient Greek notion of an infinite past. Logical arguments supporting a finite universe are developed by the early Muslim philosopher Alkindus, the Jewish philosopher Saadia Gaon, and the Muslim theologian Algazel.
Multiversal cosmology	Fakhr al-Din al-Razi (1149–1209)	Multiverse, multiple worlds and universes	There exists an infinite outer space beyond the known world, and God has the power to fill the vacuum with an infinite number of universes.
Maragha models	Maragha school (1259–1528)	Geocentric	Various modifications to Ptolemaic model and Aristotelian universe, including rejection of equant and eccentrics at Maragheh observatory, and introduction of Tusi-couple by Al-Tusi. Alternative models later proposed, including the first accurate lunar model by Ibn al-Shatir, a model rejecting stationary Earth in favour of Earth's rotation by Ali Kuşçu, and planetary model incorporating "circular inertia" by Al-Birjandi.
Nilakanthan model	Nilakantha Somayaji (1444–1544)	Geocentric and heliocentric	A universe in which the planets orbit the Sun, which orbits the Earth; similar to the later Tychonic system
Copernican universe	Nicolaus Copernicus (1473–1543)	Heliocentric with circular planetary orbits	First described in De revolutionibus orbium coelestium.
Tychonic system	Tycho Brahe (1546–1601)	Geocentric and Heliocentric	A universe in which the planets orbit the Sun and the Sun orbits the Earth, similar to the earlier Nilakanthan model.
Bruno's cosmology	Giordano Bruno (1548–1600)	Infinite extent, infinite time, homogeneous, isotropic, non-hierarchical	Rejects the idea of a hierarchical universe. Earth and Sun have no special properties in comparison with the other heavenly bodies. The void between the stars is filled with aether, and matter is composed of the same four elements (water, earth, fire, and air), and is atomistic, animistic and intelligent.
Keplerian	Johannes Kepler (1571–1630)	Heliocentric with elliptical planetary orbits	Kepler's discoveries, marrying mathematics and physics, provided the foundation for our present conception of the Solar system, but distant stars were still seen as objects in a thin, fixed celestial sphere.
Static Newtonian	Isaac Newton (1642–1727)	Static (evolving), steady state, infinite	Every particle in the universe attracts every other particle. Matter on the large scale is uniformly distributed. Gravitationally balanced but unstable.
Cartesian Vortex universe	René Descartes, 17th century	Static (evolving), steady state, infinite	System of huge swirling whirlpools of aethereal or fine matter produces what we would call gravitational effects. But his vacuum was not empty; all space was filled with matter.
Hierarchical universe	Immanuel Kant, Johann Lambert, 18th century	Static (evolving), steady state, infinite	Matter is clustered on ever larger scales of hierarchy. Matter is endlessly recycled.
Einstein Universe with a cosmological constant	Albert Einstein, 1917	Static (nominally). Bounded (finite)	"Matter without motion". Contains uniformly distributed matter. Uniformly curved spherical space; based on Riemann's hypersphere. Curvature is set equal to Λ. In effect Λ is equivalent to a repulsive force which counteracts gravity. Unstable.
De Sitter universe	Willem de Sitter, 1917	Expanding flat space. Steady state. Λ > 0	"Motion without matter." Only apparently static. Based on Einstein's general relativity. Space expands with constant acceleration. Scale factor increases exponentially (constant inflation).
MacMillan universe	William Duncan MacMillan 1920s	Static and steady state	New matter is created from radiation; starlight perpetually recycled into new matter particles.
Friedmann universe, spherical space	Alexander Friedmann 1922	Spherical expanding space. k = +1 ; no Λ	Positive curvature. Curvature constant k = +1 Expands then recollapses. Spatially closed (finite).
Friedmann universe, hyperbolic space	Alexander Friedmann, 1924	Hyperbolic expanding space. k = −1 ; no Λ	Negative curvature. Said to be infinite (but ambiguous). Unbounded. Expands forever.
Dirac large numbers hypothesis	Paul Dirac 1930s	Expanding	Demands a large variation in G, which decreases with time. Gravity weakens as universe evolves.
Friedmann zero-curvature	Einstein and De Sitter, 1932	Expanding flat space k = 0 ; Λ = 0 Critical density	Curvature constant k = 0. Said to be infinite (but ambiguous). "Unbounded cosmos of limited extent". Expands forever. "Simplest" of all known universes. Named after but not considered by Friedmann. Has a deceleration term q = 1/2, which means that its expansion rate slows down.
The original Big Bang (Friedmann-Lemaître)	Georges Lemaître 1927–29	Expansion Λ > 0 ; Λ > \|Gravity\|	Λ is positive and has a magnitude greater than gravity. Universe has initial high-density state ("primeval atom"). Followed by a two-stage expansion. Λ is used to destabilize the universe. (Lemaître is considered the father of the Big Bang model.)
Oscillating universe (Friedmann-Einstein)	Favored by Friedmann, 1920s	Expanding and contracting in cycles	Time is endless and beginningless; thus avoids the beginning-of-time paradox. Perpetual cycles of Big Bang followed by Big Crunch. (Einstein's first choice after he rejected his 1917 model.)
Eddington universe	Arthur Eddington 1930	First static then expands	Static Einstein 1917 universe with its instability disturbed into expansion mode; with relentless matter dilution becomes a De Sitter universe. Λ dominates gravity.
Milne universe of kinematic relativity	Edward Milne, 1933, 1935; William H. McCrea, 1930s	Kinematic expansion without space expansion	Rejects general relativity and the expanding space paradigm. Gravity not included as initial assumption. Obeys cosmological principle and special relativity; consists of a finite spherical cloud of particles (or galaxies) that expands within an infinite and otherwise empty flat space. It has a center and a cosmic edge (surface of the particle cloud) that expands at light speed. Explanation of gravity was elaborate and unconvincing.
Friedmann–Lemaître–Robertson–Walker class of models	Howard Robertson, Arthur Walker, 1935	Uniformly expanding	Class of universes that are homogeneous and isotropic. Spacetime separates into uniformly curved space and cosmic time common to all co-moving observers. The formulation system is now known as the FLRW or Robertson–Walker metrics of cosmic time and curved space.
Steady-state	Hermann Bondi, Thomas Gold, 1948	Expanding, steady state, infinite	Matter creation rate maintains constant density. Continuous creation out of nothing from nowhere. Exponential expansion. Deceleration term q = −1.
Steady-state	Fred Hoyle 1948	Expanding, steady state; but unstable	Matter creation rate maintains constant density. But since matter creation rate must be exactly balanced with the space expansion rate the system is unstable.
Ambiplasma	Hannes Alfvén 1965 Oskar Klein	Cellular universe, expanding by means of matter–antimatter annihilation	Based on the concept of plasma cosmology. The universe is viewed as "meta-galaxies" divided by double layers and thus a bubble-like nature. Other universes are formed from other bubbles. Ongoing cosmic matter-antimatter annihilations keep the bubbles separated and moving apart preventing them from interacting.
Brans–Dicke theory	Carl H. Brans, Robert H. Dicke	Expanding	Based on Mach's principle. G varies with time as universe expands. "But nobody is quite sure what Mach's principle actually means."
Cosmic inflation	Alan Guth 1980	Big Bang modified to solve horizon and flatness problems	Based on the concept of hot inflation. The universe is viewed as a multiple quantum flux – hence its bubble-like nature. Other universes are formed from other bubbles. Ongoing cosmic expansion kept the bubbles separated and moving apart.
Eternal inflation (a multiple universe model)	Andreï Linde, 1983	Big Bang with cosmic inflation	Multiverse based on the concept of cold inflation, in which inflationary events occur at random each with independent initial conditions; some expand into bubble universes supposedly like our entire cosmos. Bubbles nucleate in a spacetime foam.
Cyclic model	Paul Steinhardt; Neil Turok 2002	Expanding and contracting in cycles; M-theory.	Two parallel orbifold planes or M-branes collide periodically in a higher-dimensional space. With quintessence or dark energy.
Cyclic model	Lauris Baum; Paul Frampton 2007	Solution of Tolman's entropy problem	Phantom dark energy fragments universe into large number of disconnected patches. Our patch contracts containing only dark energy with zero entropy.

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