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Physics, Astronomy, Chemistry




Sebastian de Haro, fall 2012
4a Our cosmic origins

     3a, 3b Time and relativity

                                           4b, 5a Quantum mechanics


                                                  5b Chemistry

            1b Classical physics




Big Questions in Science, spring 2012. SdH, AUC
                          fall 2012. SdH, AUC                         2
   Class discussion:
     List some of the essential properties of science as
     an academic activity (also properties that
     distinguish it from other activities).




                Big Questions in Science, fall 2012. SdH, AUC   3
   The following elements will have appeared in
    your definitions of science discussed in class:
     Logic, rigor.
     Scientific method.
     Falsifiability .
     Experimental verifiability.




                  Big Questions in Science, fall 2012. SdH, AUC   4
   One goal of the course is to demystify some of the
    ideas about science that you may find in popular
    books or media:
     Science is messy, with lots of guesswork, serendipity.
     Theories are not falsified by one single observation.
     Scientific products are presented in the strictly logical,
      rigorous way. But the actual scientific process
      (including research and scientific discussions) is
      usually rather different.


                 Big Questions in Science, fall 2012. SdH, AUC     5
   Four generic properties I would like to emphasize, in
    addition to the ones already mentioned:




                Big Questions in Science, fall 2012. SdH, AUC   6
Key driving force behind scientific research:
                                                                                                         human curiosity. We want to know what
                                                                                                         nature around us looks like, both in the
                                                                                                         worlds of the smallest, of the largest, and in
                                                                                                         the intermediate scale of complexity.




                                                                                                         Other important driving forces:
http://inhabitat.com/new-mars-curiosity-science-laboratory-will-be-nuclear-powered-not-solar-powered/
                                                                                                         economic interests, technological
                                                                                                         http://outreach.atnf.csiro.au/


                                                                                                         advance, societal and political needs,…




                                                                         Big Questions in Science, fall 2012. SdH, AUC
http://ebooks.adelaide.edu.au/h/hooke/robert/micrographia/plates/scheme34.png
                                                                                                                                                                               7
                                                                                                                                          http://www.umsl.edu/~fraundorfp/stm97x.html
If artists represent (or interpret) aspects of reality that usually cannot be grasped by
  analytic means, scientists aim to represent its objective, quantitative features. Both
  artists and scientists need lots of creativity!
  The scientific enterprise requires abstraction from reality: retaining the aspects that
  are relevant to a particular question or research, searching for universal patterns,
  laws, and principles that can be reproduced and tested.




                                           Big Questions in Science, fall 2012. SdH, AUC                                                                                                                          8
http://en.wikipedia.org/wiki/Las_Meninas                                  http://www.blogmuseupicassobcn.org/2009/06/weve-got-something-special-to-celebrate-a-brand-new-addition-to-the-museu-picasso/?lang=en
http://science.nasa.gov/science-news/science-at-nasa/2004/13jul_solarblast/




Experiment and observation. Experiments allow scientists
to test their hypotheses or gather new information about
nature in a controlled setting. Changing the experimental
conditions allows to establish or disprove causal links.
                                                              Big Questions in Science, fall 2012. SdH, AUC   9
Science and philosophy: “Traditionally these are questions for philosophy,
a love-hate relationship but philosophy is dead. Philosophy has not
                         kept up with modern developments in
                         science, particularly physics. Scientists have
                         become the bearers of the torch of discovery
                         in our quest for knowledge. The purpose of
                         this book is to give the answers that are
                         suggested by recent discoveries and theoretical
                         advances. They lead us to a new picture of the
                         universe and our place in it that is very different
                         from the traditional one, and different even from
                         the picture we might have painted just a decade
                         or two ago. Still, the first sketches of the new
                         concept can be traced back almost a century.”
                         (The Grand Design).




              Big Questions in Science, fall 2012. SdH, AUC              10
Big Questions in Science, fall 2012. SdH, AUC   11
Big Questions in Science, fall 2012. SdH, AUC   12
   Method does not guarantee full truth or even
    empirical adequacy.
   Dogmatism about ‘method’ can kill creativity:
     Rutehrford wouldn’t let Bohr publish his result.
     Bohr wouldn’t Heisenberg publish his result.
     Heisenberg said the Higgs was not the way the
     world works.
   Methodologies change.
   Look at actual examples!
                Big Questions in Science, fall 2012. SdH, AUC   13
Technology
                                                                                    Future reality
                          Model




                                                               Presuppositions
                                                        Experiment
                          Axioms

                       Mathematics                                                         Reality
                          Logic
               Presuppositions (ethical,
                                                        Observation
                epistemic, ontological)

•   Science aims at representing reality in a model that allows to                   Past reality
    explain the present and predict the future (retrodict or understand
    the past). Technology, experiment, and observation play an
    important role in connecting models with reality.
•   The model itself rests on experimental data, a number of specific
    axioms, as well as a broader set of assumptions. The particular
    logic employed depends on the particular field.           Big Questions in Science, fall 2012. SdH, AUC   14
A brief history of the universe




Turning points in the
history of the universe
organized around the
universe’s timeline.
Main era’s in the
evolution of the
universe.
http://planck.cf.ac.uk/science/timeline/universe   Big Questions in Science, fall 2012. SdH, AUC   15
   Documentary film Powers of Ten (9 min)




             Big Questions in Science, fall 2012. SdH, AUC   16
 In groups of two: go to http://htwins.net/scale2
  and look up, for ten different length scales
  (            , etc.), ten corresponding items in
  the universe. Go also to the negative powers!
  Pay particular attention to earth science &
  biology.
 Switch off the sound!
 We will make a (linear) map of the universe.
 You can cross-check your data with estimates
  that you find on the internet.
             Big Questions in Science, fall 2012. SdH, AUC   17
Metric prefixes



        Prefix    Symbol            1000m                10n                Decimal               Short scale               Long scale          Since[n 1]

                                                                     1000000000000000
yotta               Y      10008                 1024                                 septillion                     quadrillion         1991
                                                                            000000000

                                                                     1000000000000000
zetta               Z      10007                 1021                                 sextillion                     trilliard           1991
                                                                               000000
                                                                     1000000000000000
exa                 E      10006                 1018                                 quintillion                    trillion            1975
                                                                                  000

peta                P      10005                 1015                1000000000000000 quadrillion                    billiard            1975

tera                T      10004                 1012                   1000000000000 trillion                       billion             1960
giga                G      10003                 109                         1000000000 billion                      milliard            1960
mega                M      10002                 106                               1000000                     million                   1960
kilo                 k     10001                 103                                  1000                   thousand                    1795
hecto               h      10002/3               102                                   100                    hundred                    1795
deca                da     10001/3               101                                    10                      ten                      1795
                           10000                 100                           1                                one                      –
deci                d      1000−1/3              10−1               0.1                                        tenth                     1795
centi               c      1000−2/3              10−2               0.01                                     hundredth                   1795
milli               m      1000−1                10−3               0.001                                   thousandth                   1795
micro               μ      1000−2                10−6               0.000001                                    millionth                1960
nano                n      1000−3                10−9               0.000000001              billionth               milliardth          1960
pico                p      1000−4                10−12              0.000000000001           trillionth              billionth           1960

femto               f      1000−5                10−15              0.000000000000001 quadrillionth                  billiardth          1964

                                                                    0.000000000000000
atto                a      1000−6                10−18                                quintillionth                  trillionth          1964
                                                                    001
                                                                    0.000000000000000
zepto               z      1000−7                10−21                                sextillionth                   trilliardth         1991
                                                                    000001

                                                                    0.000000000000000
yocto               y      1000−8                10−24                                septillionth                   quadrillionth       1991
                                                                    000000001
                                    Big Questions in Science, fall 2012. SdH, AUC                                                                      18
The Big Questions Connecting Circle




                      Big Questions in Science, fall 2012. SdH, AUC   19
Different length scales
distributed on the Big
Questions Connecting
Circle.                   Big Questions in Science, fall 2012. SdH, AUC   20
Examples of scientific theories distributed on
the Big Questions Connecting Circle.             Big Questions in Science, fall 2012. SdH, AUC   21
Examples of sciences distributed on the
Big Questions Connecting Circle.          Big Questions in Science, fall 2012. SdH, AUC   22
   Presocratic science: study of matter and
    astronomy
   Atomism and Plato’s Timaeus: mathematics
   Greek science: First Theories of Everything




              Big Questions in Science, fall 2012. SdH, AUC   23
Thales: water, predicted solar eclipse.
Anaximander: apeiron,
Earth cylindrical, suspended in void.
Anaximenes: air (rarefaction,
condensation).
Heraclitus: fire
Empedocles: four elements
Democritus and Leucippus: atoms,
Flat earth.




                               Big Questions in Science, fall 2012. SdH, AUC   24
585 BC Thales
of Miletus




                Big Questions in Science, fall 2012. SdH, AUC   25
   Time and length scales
   Great adventure: curiosity
   Abstraction
   Methods:question, observation, knowledge,
    innovation
   From mythos to logos
   Greek science: matter, geometry.


             Big Questions in Science, fall 2012. SdH, AUC   26
   Theaetetus via Plato and Euclides: the five
    Platonic solids




              Big Questions in Science, fall 2012. SdH, AUC   27
Tetrahedron, octahedron, icosahedron
                                                                 Cube (rectangle)
                (equilateral triangles)




                                      Set minimal length to 1.
No   !                                Use Pythagoras theorem      other lengths follow
                 Big Questions in Science, fall 2012. SdH, AUC                      28
   The numbers (1,2,3) are given by musical
    octave and fifth. Generate the Dorian musical
    scale:

    1:2 octave                                6       89        12
    2:3 perfect fifth                         1                  2
                                              D E F# G A B C# D
    3:4 perfect fourth
    4:5 major third                                 4/3          harmonic mean

    5:6 minor third
                                                     3/2         arithmetic mean


                 Big Questions in Science, fall 2012. SdH, AUC                     29
   Properties of elementary triangles linked with
    harmonies of music.
   Platonic solids built up of such triangles.
    Properties of triangles give properties of
    solids and will ‘explain’ properties of matter.




              Big Questions in Science, fall 2012. SdH, AUC   30
Earth                      Fire                         Air   Water




                  Symmetry among
                  these three: all share
                  same elementary
                  triangles
        Big Questions in Science, fall 2012. SdH, AUC                 31
Earth                      Fire                         Air        Water




                                                              condensation

                        rarification, condensation            evaporation

        Big Questions in Science, fall 2012. SdH, AUC                        32
Big Questions in Science, fall 2012. SdH, AUC   33
   Largest volume when inscribed in sphere.
   Contains other Platonic solids.




              Big Questions in Science, fall 2012. SdH, AUC   34
   Numbers as universal language, at the root of
    all natural processes.
   Symmetry leads to ‘conserved quantities’:
     Stable earth: isosceles triangle symmetric.
     Interchangeability fire, air, water.
   Link between numbers, physiology, and arts:
    quantity and quality.
   Adds concept of ‘measure’, ‘form’ to
    Ionian/atomistic ideas.
                Big Questions in Science, fall 2012. SdH, AUC   35
   Although speculative, basic principle is a
    chemistry of four elements.
     Reactions explained from mathematical
     combinations allowed by geometry.
   Problem of ‘asymmetry’ always present:
    ‘likely account’. Hypothesis open to critique.




              Big Questions in Science, fall 2012. SdH, AUC   36
   “Our illustrator of the atomic model [in a
    school text-book of physics] would have done
    well to make a careful study of Plato before
    producing his particular illustration”
    (Heisenberg, cited by Guthrie).
   Heisenberg first thought about atoms while
    reading Plato’s Timaeus.
   Pythagoras highly influential at dawn of two
    scientific revolutions: Kepler and
    Sommerfeld.
              Big Questions in Science, fall 2012. SdH, AUC   37
   Rational explanation
   Logic, argumentation
   Empirical (though not ‘experimental’)
   Universe finite and knowable
   Important factors:
     Development of culture
     Overseas trading, different civilizations
     Openness to intellectual innovation


                Big Questions in Science, fall 2012. SdH, AUC   38
Periodic table: classification scheme of the chemical elements based on simple physical principles.

                          Big Questions in Science, fall 2012. SdH, AUC                               39
Physical forces: seemingly distinct forces can be reduced to simpler forces and mathematical principles.

                           Big Questions in Science, fall 2012. SdH, AUC                              40

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2 What Is Science?

  • 2. 4a Our cosmic origins 3a, 3b Time and relativity 4b, 5a Quantum mechanics 5b Chemistry 1b Classical physics Big Questions in Science, spring 2012. SdH, AUC fall 2012. SdH, AUC 2
  • 3. Class discussion:  List some of the essential properties of science as an academic activity (also properties that distinguish it from other activities). Big Questions in Science, fall 2012. SdH, AUC 3
  • 4. The following elements will have appeared in your definitions of science discussed in class:  Logic, rigor.  Scientific method.  Falsifiability .  Experimental verifiability. Big Questions in Science, fall 2012. SdH, AUC 4
  • 5. One goal of the course is to demystify some of the ideas about science that you may find in popular books or media:  Science is messy, with lots of guesswork, serendipity.  Theories are not falsified by one single observation.  Scientific products are presented in the strictly logical, rigorous way. But the actual scientific process (including research and scientific discussions) is usually rather different. Big Questions in Science, fall 2012. SdH, AUC 5
  • 6. Four generic properties I would like to emphasize, in addition to the ones already mentioned: Big Questions in Science, fall 2012. SdH, AUC 6
  • 7. Key driving force behind scientific research: human curiosity. We want to know what nature around us looks like, both in the worlds of the smallest, of the largest, and in the intermediate scale of complexity. Other important driving forces: http://inhabitat.com/new-mars-curiosity-science-laboratory-will-be-nuclear-powered-not-solar-powered/ economic interests, technological http://outreach.atnf.csiro.au/ advance, societal and political needs,… Big Questions in Science, fall 2012. SdH, AUC http://ebooks.adelaide.edu.au/h/hooke/robert/micrographia/plates/scheme34.png 7 http://www.umsl.edu/~fraundorfp/stm97x.html
  • 8. If artists represent (or interpret) aspects of reality that usually cannot be grasped by analytic means, scientists aim to represent its objective, quantitative features. Both artists and scientists need lots of creativity! The scientific enterprise requires abstraction from reality: retaining the aspects that are relevant to a particular question or research, searching for universal patterns, laws, and principles that can be reproduced and tested. Big Questions in Science, fall 2012. SdH, AUC 8 http://en.wikipedia.org/wiki/Las_Meninas http://www.blogmuseupicassobcn.org/2009/06/weve-got-something-special-to-celebrate-a-brand-new-addition-to-the-museu-picasso/?lang=en
  • 9. http://science.nasa.gov/science-news/science-at-nasa/2004/13jul_solarblast/ Experiment and observation. Experiments allow scientists to test their hypotheses or gather new information about nature in a controlled setting. Changing the experimental conditions allows to establish or disprove causal links. Big Questions in Science, fall 2012. SdH, AUC 9
  • 10. Science and philosophy: “Traditionally these are questions for philosophy, a love-hate relationship but philosophy is dead. Philosophy has not kept up with modern developments in science, particularly physics. Scientists have become the bearers of the torch of discovery in our quest for knowledge. The purpose of this book is to give the answers that are suggested by recent discoveries and theoretical advances. They lead us to a new picture of the universe and our place in it that is very different from the traditional one, and different even from the picture we might have painted just a decade or two ago. Still, the first sketches of the new concept can be traced back almost a century.” (The Grand Design). Big Questions in Science, fall 2012. SdH, AUC 10
  • 11. Big Questions in Science, fall 2012. SdH, AUC 11
  • 12. Big Questions in Science, fall 2012. SdH, AUC 12
  • 13. Method does not guarantee full truth or even empirical adequacy.  Dogmatism about ‘method’ can kill creativity:  Rutehrford wouldn’t let Bohr publish his result.  Bohr wouldn’t Heisenberg publish his result.  Heisenberg said the Higgs was not the way the world works.  Methodologies change.  Look at actual examples! Big Questions in Science, fall 2012. SdH, AUC 13
  • 14. Technology Future reality Model Presuppositions Experiment Axioms Mathematics Reality Logic Presuppositions (ethical, Observation epistemic, ontological) • Science aims at representing reality in a model that allows to Past reality explain the present and predict the future (retrodict or understand the past). Technology, experiment, and observation play an important role in connecting models with reality. • The model itself rests on experimental data, a number of specific axioms, as well as a broader set of assumptions. The particular logic employed depends on the particular field. Big Questions in Science, fall 2012. SdH, AUC 14
  • 15. A brief history of the universe Turning points in the history of the universe organized around the universe’s timeline. Main era’s in the evolution of the universe. http://planck.cf.ac.uk/science/timeline/universe Big Questions in Science, fall 2012. SdH, AUC 15
  • 16. Documentary film Powers of Ten (9 min) Big Questions in Science, fall 2012. SdH, AUC 16
  • 17.  In groups of two: go to http://htwins.net/scale2 and look up, for ten different length scales ( , etc.), ten corresponding items in the universe. Go also to the negative powers! Pay particular attention to earth science & biology.  Switch off the sound!  We will make a (linear) map of the universe.  You can cross-check your data with estimates that you find on the internet. Big Questions in Science, fall 2012. SdH, AUC 17
  • 18. Metric prefixes Prefix Symbol 1000m 10n Decimal Short scale Long scale Since[n 1] 1000000000000000 yotta Y 10008 1024 septillion quadrillion 1991 000000000 1000000000000000 zetta Z 10007 1021 sextillion trilliard 1991 000000 1000000000000000 exa E 10006 1018 quintillion trillion 1975 000 peta P 10005 1015 1000000000000000 quadrillion billiard 1975 tera T 10004 1012 1000000000000 trillion billion 1960 giga G 10003 109 1000000000 billion milliard 1960 mega M 10002 106 1000000 million 1960 kilo k 10001 103 1000 thousand 1795 hecto h 10002/3 102 100 hundred 1795 deca da 10001/3 101 10 ten 1795 10000 100 1 one – deci d 1000−1/3 10−1 0.1 tenth 1795 centi c 1000−2/3 10−2 0.01 hundredth 1795 milli m 1000−1 10−3 0.001 thousandth 1795 micro μ 1000−2 10−6 0.000001 millionth 1960 nano n 1000−3 10−9 0.000000001 billionth milliardth 1960 pico p 1000−4 10−12 0.000000000001 trillionth billionth 1960 femto f 1000−5 10−15 0.000000000000001 quadrillionth billiardth 1964 0.000000000000000 atto a 1000−6 10−18 quintillionth trillionth 1964 001 0.000000000000000 zepto z 1000−7 10−21 sextillionth trilliardth 1991 000001 0.000000000000000 yocto y 1000−8 10−24 septillionth quadrillionth 1991 000000001 Big Questions in Science, fall 2012. SdH, AUC 18
  • 19. The Big Questions Connecting Circle Big Questions in Science, fall 2012. SdH, AUC 19
  • 20. Different length scales distributed on the Big Questions Connecting Circle. Big Questions in Science, fall 2012. SdH, AUC 20
  • 21. Examples of scientific theories distributed on the Big Questions Connecting Circle. Big Questions in Science, fall 2012. SdH, AUC 21
  • 22. Examples of sciences distributed on the Big Questions Connecting Circle. Big Questions in Science, fall 2012. SdH, AUC 22
  • 23. Presocratic science: study of matter and astronomy  Atomism and Plato’s Timaeus: mathematics  Greek science: First Theories of Everything Big Questions in Science, fall 2012. SdH, AUC 23
  • 24. Thales: water, predicted solar eclipse. Anaximander: apeiron, Earth cylindrical, suspended in void. Anaximenes: air (rarefaction, condensation). Heraclitus: fire Empedocles: four elements Democritus and Leucippus: atoms, Flat earth. Big Questions in Science, fall 2012. SdH, AUC 24
  • 25. 585 BC Thales of Miletus Big Questions in Science, fall 2012. SdH, AUC 25
  • 26. Time and length scales  Great adventure: curiosity  Abstraction  Methods:question, observation, knowledge, innovation  From mythos to logos  Greek science: matter, geometry. Big Questions in Science, fall 2012. SdH, AUC 26
  • 27. Theaetetus via Plato and Euclides: the five Platonic solids Big Questions in Science, fall 2012. SdH, AUC 27
  • 28. Tetrahedron, octahedron, icosahedron Cube (rectangle) (equilateral triangles) Set minimal length to 1. No ! Use Pythagoras theorem other lengths follow Big Questions in Science, fall 2012. SdH, AUC 28
  • 29. The numbers (1,2,3) are given by musical octave and fifth. Generate the Dorian musical scale: 1:2 octave 6 89 12 2:3 perfect fifth 1 2 D E F# G A B C# D 3:4 perfect fourth 4:5 major third 4/3 harmonic mean 5:6 minor third 3/2 arithmetic mean Big Questions in Science, fall 2012. SdH, AUC 29
  • 30. Properties of elementary triangles linked with harmonies of music.  Platonic solids built up of such triangles. Properties of triangles give properties of solids and will ‘explain’ properties of matter. Big Questions in Science, fall 2012. SdH, AUC 30
  • 31. Earth Fire Air Water Symmetry among these three: all share same elementary triangles Big Questions in Science, fall 2012. SdH, AUC 31
  • 32. Earth Fire Air Water condensation rarification, condensation evaporation Big Questions in Science, fall 2012. SdH, AUC 32
  • 33. Big Questions in Science, fall 2012. SdH, AUC 33
  • 34. Largest volume when inscribed in sphere.  Contains other Platonic solids. Big Questions in Science, fall 2012. SdH, AUC 34
  • 35. Numbers as universal language, at the root of all natural processes.  Symmetry leads to ‘conserved quantities’:  Stable earth: isosceles triangle symmetric.  Interchangeability fire, air, water.  Link between numbers, physiology, and arts: quantity and quality.  Adds concept of ‘measure’, ‘form’ to Ionian/atomistic ideas. Big Questions in Science, fall 2012. SdH, AUC 35
  • 36. Although speculative, basic principle is a chemistry of four elements.  Reactions explained from mathematical combinations allowed by geometry.  Problem of ‘asymmetry’ always present: ‘likely account’. Hypothesis open to critique. Big Questions in Science, fall 2012. SdH, AUC 36
  • 37. “Our illustrator of the atomic model [in a school text-book of physics] would have done well to make a careful study of Plato before producing his particular illustration” (Heisenberg, cited by Guthrie).  Heisenberg first thought about atoms while reading Plato’s Timaeus.  Pythagoras highly influential at dawn of two scientific revolutions: Kepler and Sommerfeld. Big Questions in Science, fall 2012. SdH, AUC 37
  • 38. Rational explanation  Logic, argumentation  Empirical (though not ‘experimental’)  Universe finite and knowable  Important factors:  Development of culture  Overseas trading, different civilizations  Openness to intellectual innovation Big Questions in Science, fall 2012. SdH, AUC 38
  • 39. Periodic table: classification scheme of the chemical elements based on simple physical principles. Big Questions in Science, fall 2012. SdH, AUC 39
  • 40. Physical forces: seemingly distinct forces can be reduced to simpler forces and mathematical principles. Big Questions in Science, fall 2012. SdH, AUC 40