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Tuesday, June 29, 2010

sir isaac newton

Head and shoulders portrait of man in black with shoulder-length gray hair, a large sharp nose, and an abstracted gaze

Monday, June 21, 2010

Apple analogy

Newton himself often told the story that he was inspired to formulate his theory of gravitation by watching the fall of an apple from a tree.[95]
Cartoons have gone further to suggest the apple actually hit Newton's head, and that its impact somehow made him aware of the force of gravity, though this is not reported in the biographical manuscript by William Stukely, published in 1752, and made available by the Royal Society.[96] It is known from his notebooks that Newton was grappling in the late 1660s with the idea that terrestrial gravity extends, in an inverse-square proportion, to the Moon; however it took him two decades to develop the full-fledged theory.[97] John Conduitt, Newton's assistant at the Royal Mint and husband of Newton's niece, described the event when he wrote about Newton's life:
In the year 1666 he retired again from Cambridge to his mother in Lincolnshire. Whilst he was pensively meandering in a garden it came into his thought that the power of gravity (which brought an apple from a tree to the ground) was not limited to a certain distance from earth, but that this power must extend much further than was usually thought. Why not as high as the Moon said he to himself & if so, that must influence her motion & perhaps retain her in her orbit, whereupon he fell a calculating what would be the effect of that supposition.[98]
The question was not whether gravity existed, but whether it extended so far from Earth that it could also be the force holding the moon to its orbit. Newton showed that if the force decreased as the inverse square of the distance, one could indeed calculate the Moon's orbital period, and get good agreement. He guessed the same force was responsible for other orbital motions, and hence named it "universal gravitation".
A contemporary writer, William Stukeley, recorded in his Memoirs of Sir Isaac Newton's Life a conversation with Newton in Kensington on 15 April 1726, in which Newton recalled:
when formerly, the notion of gravitation came into his mind. It was occasioned by the fall of an apple, as he sat in contemplative mood. Why should that apple always descend perpendicularly to the ground, thought he to himself. Why should it not go sideways or upwards, but constantly to the Earth's centre? Assuredly the reason is, that the Earth draws it. There must be a drawing power in matter. And the sum of the drawing power in the matter of the Earth must be in the Earth's centre, not in any side of the Earth. Therefore does this apple fall perpendicularly or towards the centre? If matter thus draws matter; it must be proportion of its quantity. Therefore the apple draws the Earth, as well as the Earth draws the apple."[99]
In similar terms, Voltaire wrote in his Essay on Epic Poetry (1727), "Sir Isaac Newton walking in his gardens, had the first thought of his system of gravitation, upon seeing an apple falling from a tree."
Various trees are claimed to be "the" apple tree which Newton describes. The King's School, Grantham, claims that the tree was purchased by the school, uprooted and transported to the headmaster's garden some years later. The staff of the [now] National Trust-owned Woolsthorpe Manor dispute this, and claim that a tree present in their gardens is the one described by Newton. A descendant of the original tree can be seen growing outside the main gate of Trinity College, Cambridge, below the room Newton lived in when he studied there. The National Fruit Collection at Brogdale[100] can supply grafts from their tree, which appears identical to Flower of Kent, a coarse-fleshed cooking variety.[101]

Sir isaac newton



Godfrey Kneller's 1689 portrait of Isaac Newton(aged 46)
Born
4 January 1643(1643-01-04)[OS: 25 December 1642][1]Woolsthorpe-by-ColsterworthLincolnshire, England
Died
31 March 1727 (aged 84)[OS: 20 March 1726][1]Kensington, Middlesex, England
Residence
England
Fields
physics, mathematics, astronomy, natural philosophy, alchemy, Christian theology
Institutions
University of CambridgeRoyal SocietyRoyal Mint
Alma mater
Trinity College, Cambridge
Academic advisors
Isaac Barrow[2]Benjamin Pulleyn[3][4]
Notable students
Roger CotesWilliam Whiston
Known for
Newtonian mechanicsUniversal gravitationInfinitesimal calculusOpticsBinomial seriesNewton's methodPhilosophiæ Naturalis Principia Mathematica
Influences
Henry More[5]Polish Brethren[6]
Influenced
Nicolas Fatio de DuillierJohn Keill
Signature
NotesHis mother was Hannah Ayscough. His half-niece was Catherine Barton.
Sir Isaac Newton FRS (4 January 1643 – 31 March 1727 [OS: 25 December 1642 – 20 March 1726])[1] was an English physicist,

Isaac Newton

Sir Isaac Newton FRS (4 January 1643 – 31 March 1727 [OS: 25 December 1642 – 20 March 1726])[1] was an English physicist, mathematician, astronomer, natural philosopher, alchemist, and theologian who is considered by many scholars and members of the general public to be one of the most influential people in human history. His 1687 publication of the Philosophiæ Naturalis Principia Mathematica (usually called the Principia) is considered to be among the most influential books in the history of science, laying the groundwork for most of classical mechanics. In this work, Newton described universal gravitation and the three laws of motion which dominated the scientific view of the physical universe for the next three centuries. Newton showed that the motions of objects on Earth and of celestial bodies are governed by the same set of natural laws by demonstrating the consistency between Kepler's laws of planetary motion and his theory of gravitation, thus removing the last doubts about heliocentrism and advancing the scientific revolution.
Newton built the first practical reflecting telescope[7] and developed a theory of colour based on the observation that a prism decomposes white light into the many colours that form the visible spectrum. He also formulated an empirical law of cooling and studied the speed of sound.
In mathematics, Newton shares the credit with Gottfried Leibniz for the development of the differential and integral calculus. He also demonstrated the generalised binomial theorem, developed Newton's method for approximating the roots of a function, and contributed to the study of power series.
Newton remains uniquely influential to scientists, as demonstrated by a 2005 survey of members of Britain's Royal Society asking who had the greater effect on the history of science and had the greater contribution to humankind, Newton or Albert Einstein. Royal Society scientists deemed Newton to have made the greater overall contribution on both.[8]
Newton was also highly religious, though an unorthodox Christian, writing more on Biblical hermeneutics and occult studies than the natural science for which he is remembered today. The 100 by astrophysicist Michael H. Hart ranks Newton as the second most influential person in history (below Muhammad and above Jesus).

Sunday, June 20, 2010

Einstein on the importance of the philosophy of physics


Einstein was interested in the philosophical implications of his theory.
Albert Einstein was extremely interested in the philosophical conclusions of his work, and the following two quotes set out some of the reasons why he felt this way.
"I fully agree with you about the significance and educational value of methodology as well as history and philosophy of science. So many people today - and even professional scientists - seem to me like somebody who has seen thousands of trees but has never seen a forest. A knowledge of the historic and philosophical background gives that kind of independence from prejudices of his generation from which most scientists are suffering. This independence created by philosophical insight is - in my opinion - the mark of distinction between a mere artisan or specialist and a real seeker after truth." Einstein. letter to Robert A. Thornton, 7 December 1944. EA 61-574.
"How does it happen that a properly endowed natural scientist comes to concern himself with epistemology? Is there no more valuable work in his specialty? I hear many of my colleagues saying, and I sense it from many more, that they feel this way. I cannot share this sentiment. ... Concepts that have proven useful in ordering things easily achieve such an authority over us that we forget their earthly origins and accept them as unalterable givens. Thus they come to be stamped as 'necessities of thought,' 'a priori givens,' etc.
"The path of scientific advance is often made impassable for a long time through such errors. For that reason, it is by no means an idle game if we become practiced in analyzing the long-commonplace concepts and exhibiting [revealing, exposing? -Ed.] those circumstances upon which their justification and usefulness depend, how they have grown up, individually, out of the givens of experience. By this means, their all-too-great authority will be broken." Einstein, 1916, "Memorial notice for Ernst Mach," Physikalische Zeitschrift 17: 101-02.
[edit] See also

Philosophy of quantum mechanics

Quantum mechanics has provided much controversy in philosophical interpretations. As it developed its theories began to contradict many of the accepted philosophies. However, all its mathematical predictions coincide with observations.
In most cases accepted philosophies are based on the everyday experience of the average human - which is extremely limited as it does not include observation of ultra-small systems, or motion with high speeds, or experimenting with high energies, strong gravity, etc. Thus, common-sense "theories", "intuitions" or "feelings" cannot be relied upon when it comes to descriptions or explanations of the behavior of many systems and objects in nature.
[edit] Determinism
The 18th century saw many advances in the domain of science. After Newton, most scientists agreed on the presupposition that the universe is governed by strict (natural) laws that can be discovered and formalized by means of scientific observation and experiment. This position is known as determinism. However, determinism precludes the possibility of free will. That is, if the universe, and thus the entire world, is governed by strict and universal laws, then that means that human beings are also governed by natural law in their own actions. In other words, it means that there is no such thing as human freedom (except as defined in compatibilism). Conversely, if we accept that human beings do have (libertarian or incompatibilist) free will, then we must accept that the world is not entirely governed by natural law. Some have argued that if the world is not entirely governed by natural law, then the task of science is rendered impossible. However, the development of quantum mechanics gave thinkers alternatives to these strictly bound possibilities, proposing a model for a universe that follows general rules but never had a predetermined future.
[edit] Uncertainty principle
Main article: Uncertainty principle
The Uncertainty Principle is a mathematical principle that follows from the quantum mechanical definition of the operators of momentum and position (namely, the lack of commutativity between them) and that explains the behavior of the universe at atomic and subatomic scales.
The Uncertainty Principle was developed as an answer to the question: How does one measure the location of an electron around a nucleus if an electron is a wave? When quantum mechanics was developed, it was seen to be a relation between the classical and quantum descriptions of a system using wave mechanics.
In March 1926, working in Niels Bohr's institute, Werner Heisenberg formulated the principle of uncertainty thereby laying the foundation of what became known as the Copenhagen interpretation of quantum mechanics. Heisenberg had been studying the papers of Paul Dirac and Jordan. He discovered a problem with measurement of basic variables in the equations. His analysis showed that uncertainties, or imprecisions, always turned up if one tried to measure the position and the momentum of a particle at the same time. Heisenberg concluded that these uncertainties or imprecisions in the measurements were not the fault of the experimenter, but fundamental in nature and are inherent mathematical properties of operators in quantum mechanics arising from definitions of these operators.[2]
The term Copenhagen interpretation of quantum mechanics was often used interchangeably with and as a synonym for Heisenberg's Uncertainty Principle by detractors (such as Einstein and the physicist Alfred Lande) who believed in determinism and saw the common features of the Bohr-Heisenberg theories as a threat. Within the Copenhagen interpretation of quantum mechanics the uncertainty principle was taken to mean that on an elementary level, the physical universe does not exist in a deterministic form, but rather as a collection of probabilities, or possible outcomes.[citation needed] For example, the pattern (probability distribution) produced by millions of photons passing through a diffraction slit can be calculated using quantum mechanics, but the exact path of each photon cannot be predicted by any known method.[citation needed] The Copenhagen interpretation holds that it cannot be predicted by any method, not even with theoretically infinitely precise measurements.
[edit] Complementarity
The idea of complementarity is critical in quantum mechanics. It says that light can behave both like a particle and like a wave. When the double slit experiment was performed, light acted in some cases as a wave, and some cases as a particle. Physicists had no convincing theory to explain this until Bohr and complementarity came along. Quantum mechanics allows things that are completely opposite intuitively to each other to exist without problem.

Philosophy of space and time

Time
Main article: Time in physics

Time, in many philosophies, is seen as change.
Time is a fundamental quantity (that is, a quantity which cannot be defined in terms of other quantities, because at present we don't know anything more basic than time). Thus time is defined via measurement - by its standard time interval. Currently, the standard time interval (called "conventional second," or simply "second") is defined as 9,192,631,770 oscillations of a hyperfine transition in the 133 caesium atom. (ISO 31-1). What exactly time "is" and how it works follows from the above definition. Physicists use theory to predict how time is measured. Time then can be combined mathematically with the fundamental quantities of space and mass to derive concepts such as velocity, momentum, energy, and fields.
Both Newton and Galileo,[1] as well as most people up until the 20th century, thought that time was the same for everyone everywhere. Our modern conception of time is based on Einstein's theory of relativity and Hermann Minkowski's spacetime, in which rates of time at separate places run differently, and space and time are merged into spacetime. Time may be quantized, with the theoretical smallest time being the Planck time. Einstein's general relativity as well as the redshift of the light from receding distant galaxies indicate that the entire Universe and possibly space-time itself began about 13.7 billion years ago in the big bang. Whether and how the universe will ever end are open questions.
[edit] Time travel
Main article: Time travel
Some theories, most notably special and general relativity, suggest that suitable geometries of spacetime, or certain types of motion in space, may allow time travel into the past and future. Concepts that aid such understanding include the closed timelike curve.
Albert Einstein's special theory of relativity (and, by extension, the general theory) predicts time dilation that could be interpreted as time travel. The theory states that, relative to a stationary observer, time appears to pass more slowly for faster-moving bodies: for example, a moving clock will appear to run slow; as a clock approaches the speed of light its hands will appear to nearly stop moving. The effects of this sort of time dilation are discussed further in the popular "twin paradox".
A second, similar type of time travel is permitted by general relativity. In this type a distant observer sees time passing more slowly for a clock at the bottom of a deep gravity well, and a clock lowered into a deep gravity well and pulled back up will indicate that less time has passed compared to a stationary clock that stayed with the distant observer.
These effects are to some degree similar to hibernation, or cooling of live objects (which slow down the rates of chemical processes in the subject) almost indefinitely suspending their life thus resulting in "time travel" toward the future, but never backward. They do not violate causality. This is not typical of the "time travel" featured in science fiction (where causality is violated at will), and there is little doubt surrounding its existence. "Time travel" will hereafter refer to travel with some degree of freedom into the past or future of proper time.
Many in the scientific community believe that time travel is highly unlikely, because it violates causality - logic of cause-effect sequence. What happens if you try to go back in time and kill yourself (or your grandfather, leading to the grandfather paradox)? Also, there are no experimental evidences of time travel. Stephen Hawking once suggested that the absence of tourists from the future constitutes a strong argument against the existence of time travel— a variant of the Fermi paradox, with time travelers instead of alien visitors.
[edit] Space
Main article: Space

Spacetime, according to general relativity, is bent by objects with mass, causing time dilation.
Space is one of the few fundamental quantities in physics, meaning that it cannot be defined via other quantities because there is nothing more fundamental known at present. Thus, similar to the definition of other fundamental quantities (like time and mass), space is defined via measurement. Currently, the standard space interval, called a standard meter or simply meter, is defined as the distance traveled by light in a vacuum during a time interval of 1/299792458 of a second (exact). This definition coupled with the present definition of time (see above) makes our space-time to be Minkowski space and makes special relativity theory to be absolutely correct by definition.
In classical physics, space is a three-dimensional Euclidean space where any position can be described using three coordinates. Special and general relativity uses spacetime rather than space; spacetime is modeled as a four-dimensional space (with the time axis being imaginary in special relativity and real in general relativity, and currently there are many theories which use more than 4-dimensional spaces, both real and complex).
Before Einstein's work on relativistic physics, time and space were viewed as independent dimensions. Einstein's work has shown that due to relativity of motion our space and time can be mathematically combined into one symmetric object - spacetime, in which the time axis (multiplied by ic) is indistinguishable from space axes. (Distances in space or in time separately are not invariant versus Lorentz coordinate transformations, but distances in such so called Minkowski spacetime are - which justifies the name).