The Clockwork Universe
Newton
Physics Emerges
BACKGROUND &
TIMES |
1. By the time Isaac Newton
entered college, the scientific revolution of the 17th century was well
underway.
2. Men like Copernicus, Kepler, Galileo, and Descartes had
all helped develop a new view of nature. and
what is a brief summary of this new view?
3. When Newton went to
Cambridge, everyone was still studying the old nature.
4. Newton
studied it toobut in his notebook he had written: "Amicus Plato;
amicus Aristoteles; magus amica veritas." "Plato is my friend,
Aristotle is my friend, but my best friend is truth." |
|
THE PERSON |
1. Isaac Newton was born on
Christmas Day, 1642, the same year Galileo died.
2. He did much of his
greatest work during a two year period from 1665 to 1667 when he was at the
village of Woolsworth to escape the Great Plague which was ravishing London.
3.
His life was troubled by angry conflicts and bitter feuds with colleagues and
friends.
4. Twice these feuds led to breakdowns; other times they led
to bursts of brilliant new achievements.
5. He died in 1727, at the age
of 85. Years later it was discovered that much of his erratic behavior may have
been caused by mercury poisoning. Recent samples of his hair showed he had forty
times the level of mercury considered normal. |
|
ACCOMPLISHMENTS |
1. Newton discovered the origin of
color.
2. He discovered the nature of gravity.
3. He invented
calculus.
4. He invented the first reflecting telescope.
5. He
wrote and published the book Mathematica Principia, which provided a detailed
explanation of the laws of gravity and motion, particularly as they applied to
astronomy.
6. He was knighted as Sir Isaac Newton and became
president of the Royal Society, a post he held until his death. | | |
UNIQUE
INFLUENCE |
1. He was one of the most creative
geniuses the world has ever seen and to many people the greatest scientist who
ever lived.
2. While Galileo's discoveries brought humankind to the
brink of a new age, Newton took it the rest of the way.
3. He unified
the work of Copernicus, Galileo, and Kepler into one scientific theory that has
stood the test of time.
4. Principia Mathematica is still considered by
many to be the greatest scientific book ever written. It is the fundamental
work for all of modern science.
5. Newton was the integrator, the
unifier, the organizer, of all the scientific knowledge available at the time.
He established a solid platform on which all modern science could be built. |
Newton:
Newton's Explanation of Kepler's Laws
Newton expanded on the work
of Galileo to better define the relationship between energy and
motion. In particular, he developed the following concepts:
- change in velocity = acceleration
caused by
application of force.
- intertia = resistance
to change in velocity and is proportional to the mass of the
object
- momentum= quantity
of motion energy and is equal to mass times velocity
- law of conservation of momentum = total momentum (mass x velocity)
of an interaction is conserved
is the same before and after
Descarte's previous interpretation of what would be
Newton's ideas was the so called Clockwork Universe
model. A concept that states that the total momentum of the Universe
is conserved, interactions redistribute the momentum, but the total never
changes. In this model, God only starts the clock (initial cause),
then it runs by itself for the rest of time.
Newton's laws of motion:
- 1st law: a body remains at rest or moves in a straight line of
constant velocity as long as no external forces acts on it
- 2nd law: a body acted on by a force will accelerate such that force
equals mass times acceleration (F=ma)
- 3rd law: for every action there is an equal and opposite
reaction
Well fine, if gravity is an attractive force, then how come the
moon doesn't come crashing into the earth, or the earth into
the sun. What causes an orbit to be stable?
An orbit is the balance between inertial and gravitational forces. That is,
the earth is continually falling toward the sun, but inertia also wants the
earth to keep moving in a straight line. When these two forces are in
balance a stable orbit results:
![](orbstab.gif)
![](http://zebu.uoregon.edu/ap/moonfall.JPG)
Newton mathematized all of the
physical sciences, reducing their study to a rigorous,
universal, and rational procedure which marked the ushering
in of the Age of Reason. Thus, the basic principles of
investigation set down by Newton have persisted virtually
without alteration until modern times.
It is therefore no exaggeration to identify Newton as the single
most important contributor to the development of modern
science. The Latin inscription on Newton's tomb, despite its
bombastic language, is thus fully justified in proclaiming,
"Mortals! rejoice at so great an ornament to the human race!"
Alexander Pope's couplet is also apropos: "Nature and
Nature's laws lay hid in night; God said, Let Newton be! and all
was light."
Calculus as a Language
This is a methodology known as "limits". There are two principle
manifestations of this.
These two principles are graphically shown below:
Differentiation
Integration:
This procedure allows for a rigorous determination of physics using
functions.
For example, how do I compute the area of a circle.
A circle is that which is enclosed by a surface which a line of
radius r has been rotated through 360 degrees.
From the language of Calculus this means the following:
Language should evolve so that communication
becomes more efficient; i.e. the language shown above derives
the area of a circle using the least amount of characters.
Meanwhile, back to humanities!
Newton died in 1727
What is the state of european government/culture by this time?
How is it reflective of this Age of Reason?
Relevant Notes