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- It starts with Isaac Newton:
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------------ 1886 - Schrödinger’s wave equation describes the atom.
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- There are fundamentals found in Nature that we can describe and make predictions quite accurately. Then, we can code them in the form of an equation, a shorthand that describes the same thing we put into words.
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- These equations become essential to out ability to understand the past and to predict the future. Isaac Newton in 1687 developed his equation to predict the motion of objects. It simply says that a force equals mass times acceleration.
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--------------------------- F = m*a
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- The greater the mass, ”m”, the greater the force needed to change its velocity. Acceleration is a change in velocity with a change in time. A constant velocity with no friction needs no force to remain constant forever. The acceleration of objects due to the force of gravity on the surface of Earth is :
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----------------------- 9.8 meters per second^2
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----------------------- or, 32 feet per second per second.
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- Multiply this acceleration by your mass in kilograms and you calculate you weight in Newtons. That is the force pulling you towards the center of the Earth.
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- Isaac Newton came up with another fundamental law about the force of gravity also in 1687
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---------------------- F = G * m*M / r^2
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- The force of gravity is directly proportional to the product of the two masses ( m * M) and inversely proportional to the square of the distance between them. Two masses pull on one another across space but the force decreases rapidly the further apart they are ( r ) . “G” is the constant of proportionality for the units used.
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- Newton’s equations were used to get us to the Moon and back but Newton could not explain “ why” his equations worked. 230 years later Albert Einstein explained why gravity existed as a warping of space-time around massive objects. Einstein’s equations in the Theory of Relativity became important when we had GPS satellites 330 years after Newton’s equations had been doing all the work. GPS satellite calculations for locations on Earth’s surface only work accurately enough if Einstein’s equations are added to Newton’s first approximations.
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- In 1824 the law in thermodynamics was defined requiring Entropy to always increase . Entropy is a measure of disorder in Nature. Sadi Carnot, a French physicist, developed the equation requiring heat to always travel from a warm object to a cold one. The process is not reversible. Since the Big Bang which was at zero Entropy the Universe’s Entropy has always increased. And, the Universe will end in “ heat death” when all the stars burn out and Entropy is at its maximum.
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- In 1831 and 1865 Maxwell and Faraday’s equation showed that a changing electric field (E) created a changing magnetic field (B) and vice-versa.
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------------------------ E = dB / dt
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- These equation are today used in modern electrical engineering, communications technology and optics.
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- In 1905 Albert Einstein’s defined the equations that equated mass and energy:
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----------------------- E = mc^2
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---------------------- Energy = mass * 90,000,000,000,000,000
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---------------------- c = speed of light at 3 * 10^8 meters / second.
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- An enormous amount of energy can be release through the conversion of a small amount of mass. In 1945 one gram of mass produced an explosion over Nagasaki, Japan, that was equated to 20,000 tons of TNT dynamite.
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- In 1925 Erwin Schrodinger developed the wave equation for electrons orbiting the nucleus of the atom. Using Quantum Mechanics theory he calculate how quantum particles move and interact. The particles are described as interfering waves.
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- Schrödinger starts out with Newton’s equation, F = ma in the first paragraph, and applies it to the structure of the atom. It becomes a differential equation describing time evolution of a wave function.
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- Erwin Schrodinger ( 1887 - 1961) in 1921, reading a footnote in one of Einstein’s papers on the concept of the electron having wave properties, decided to apply it to electrons having orbits around the nucleus of atoms. He had the electrons orbiting only in an exact number of wavelengths. This created “ standing waves” that did not radiate light waves which Maxwell’s changing velocity of an electron required. This in turn required discrete orbits of electrons in each atom. In 1926 he published the “ wave equation” for this property in all atoms.
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- Equations are shorthand that describes precise equalities. Using them in math analysis leads to new discoveries. New discoveries leads to new math. Every thing we think we know is only a theory. New knowledge will bring new theories. That is a never ending process in science.
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- Request these Reviews to learn more about science:
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- #1649 - What is Science?
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- #1649 - New ideas to change your life?
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- #1463,4,5,6 - covers 4 decades of science discoveries.
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- #1194 - What’s likely to happen in the next 30 years?
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- --------------------------------------------------------------------------------------
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----- 707-536-3272 ---------------- Monday, June 27, 2016 -----
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