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sPaCe
for the SMMMASH! of October 18, 2012
          www.smmmash.com

              piero scaruffi
             www.scaruffi.com

     (download the most recent version from
         scaruffi.com/know/space.pdf )
Space is boring…




                   2
…or the other way around?

        Vladimir: "It passed the time"
        Estragon: "Time would have passed anyway"
        (Samuel Beckett, "Waiting for Godot")



The history of human civilization has been more
about Space than about Time (until very recently)



                                        3
Zenon’s paradox (5th c BC)
       • Motion between two points requires going through
         an infinite number of points, which requires an
         infinite amount of time


  t0

  t1

  t2
The fastest runner in the world will never overtake the slowest turtle: by the time the
                                                                       4
runner reaches the point where the turtle is, the turtles has moved further away.
Demokritos/ Democritus
• Everything is made of atoms
• Nothing lies between atoms




                                5
Aristoteles/ Aristotle
• The universe is full and finite
• The void cannot exist




                                    6
Eukleides/ Euclid (300 BC)
• Geometry
• Postulates (parallel lines)
• A theory of space




                                7
The most important place:
                  Paradise
 • Gilgamesh, Zoroaster, Bible, Buddha: the garden
   is the site of eternal life - horizontal space




Western Paradise of the Buddha
Amitabha (British Museum)
                                                    8
                                 Zoroastrian fire temple in Yazd
Paradise
• Middle Ages: paradise is in heaven - vertical space




   Simon Marmion: Livre des sept   Ceiling of Mogao Cave No. 285,
                                                   9
   âges du monde                   Dunhuang
Vertical Space
Chartres (12th c)

                                          Houssein mosque,
                                             Cairo (12th c)




                                                   Angkor
                    Liurong Si,
                    Guangzhou (11th c)




                    Nataraja temple,
                                         10
                    Chidambaram
Ordered Space




Firenze, Italy (1438)          Machu Picchu, 11 (1472)
                                             Peru
Rinascimento/ Renaissance
• Piero della Francesca’s age (1480)




                                       12
Distant Space
• Long-distance travelers
   – Marco Polo (13th c)
   – Ibn Battuta (14th c)
   – Zheng He (15th c)




                               13
America
• Giovanni-Matteo Contarini: first map to show
  America (1506)




                         North America
                         (part of China)

        West Indies




         South America



                                                 14
                                           14
Cosmic Space
• Copernicus (1530): the Earth is not
  the center of space
• Galileo (1632): the celestial world




                                    15
Cosmic Space
• Descartes (1637): space and geometry are
  computable
• Descartes: space is full of matter - if there
  is no matter, there is no space
• Von Guericke (1650) & Boyle (1659):
  the vacuum
• Huygens (1678): an “aether gas"
  permeates all space (needed to explain
  how light propagates in space)
• Newton (1687): absolute space - empty,
  infinite and immutable
                                            16
Immanuel Kant (1781)
• Space is in our mind




                           17
Non-Euclidean Geometry
•   The nature of parallel lines
•   Space can be curved
•   1824: Carl Friedrich Gauss
•   1830s: János Bolyai and Ivanovich Lobachevsky
•   1854: Bernhard Riemann




                                       18
Non-Euclidean Art
• Violations of the law of perspective        Turner’s blurred nature
• Emancipation of color: color
  becomes “the” space
• Impressionism: the real subject is the
  brush stroke itself (the very fabric of
  space)

     Manet’s curved horizon                 Monet’s abstract space




                                                    19
Travel
•   Steamship
•   Train
•   Airplane
•   Automobile




                          20
Long-distance Communications




                       21
Einstein
• The aether is unnecessary
• Space is not absolute
• Hermann Minkowski: spacetime
• General relativity: spacetime and matter interact
  (“curved space”)
• Spacetime is not just a stage but an actor in the
  story of the universe


                                         22
Quantum Mechanics
• The Planck distance, the minimum distance
  between two “things”
• The quantum vacuum




                                      23
Cubism
• Braque: a new language of space (space is discrete
  and empty space matters) - quantum art




                                        24
Suprematism
• Kazimir Malevich’s “White on White” (1918)
  – “It is not an empty square… it is full of the
    absence of any object”




                                         25
Surrealism
• Surrealism
  – Distortion of space and time




        Magritte
                                   26
                                   Tanguy
Modern Space
• Edwin Hubble: The universe is expanding in all
  directions (and the expansion is accelerating)
• Superstring Theory: 10 or 26 dimensions
• Higgs Field: it permeates and creates our universe
• Lee Smolin: A volume cannot be divided forever
  -there is an elementary unit of volume (also Roger
  Penrose's spin networks)


                                        27
Modern Space

• Sputnik




                           28
Modern Space

• Moon Landing




                          29
Modern Space


• Skyscrapers




                                30
                           30
Non-human (post-human?) Space


• Voyager
• Mars Rover




                         31
Cyberspace
• Reality is not real but virtual
• The word "distance“ becomes meaningless




                                     32
Space and Life

• Life without Time? Many people would like it (no
  aging!)
• Life without Space? Life without my favorite
  park, beach, cafe, library, museum…? Hmmm…




                                       33
Space is not boring

• Space is




                                   34

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The infinite dimensions of space

  • 1. sPaCe for the SMMMASH! of October 18, 2012 www.smmmash.com piero scaruffi www.scaruffi.com (download the most recent version from scaruffi.com/know/space.pdf )
  • 3. …or the other way around? Vladimir: "It passed the time" Estragon: "Time would have passed anyway" (Samuel Beckett, "Waiting for Godot") The history of human civilization has been more about Space than about Time (until very recently) 3
  • 4. Zenon’s paradox (5th c BC) • Motion between two points requires going through an infinite number of points, which requires an infinite amount of time t0 t1 t2 The fastest runner in the world will never overtake the slowest turtle: by the time the 4 runner reaches the point where the turtle is, the turtles has moved further away.
  • 5. Demokritos/ Democritus • Everything is made of atoms • Nothing lies between atoms 5
  • 6. Aristoteles/ Aristotle • The universe is full and finite • The void cannot exist 6
  • 7. Eukleides/ Euclid (300 BC) • Geometry • Postulates (parallel lines) • A theory of space 7
  • 8. The most important place: Paradise • Gilgamesh, Zoroaster, Bible, Buddha: the garden is the site of eternal life - horizontal space Western Paradise of the Buddha Amitabha (British Museum) 8 Zoroastrian fire temple in Yazd
  • 9. Paradise • Middle Ages: paradise is in heaven - vertical space Simon Marmion: Livre des sept Ceiling of Mogao Cave No. 285, 9 âges du monde Dunhuang
  • 10. Vertical Space Chartres (12th c) Houssein mosque, Cairo (12th c) Angkor Liurong Si, Guangzhou (11th c) Nataraja temple, 10 Chidambaram
  • 11. Ordered Space Firenze, Italy (1438) Machu Picchu, 11 (1472) Peru
  • 12. Rinascimento/ Renaissance • Piero della Francesca’s age (1480) 12
  • 13. Distant Space • Long-distance travelers – Marco Polo (13th c) – Ibn Battuta (14th c) – Zheng He (15th c) 13
  • 14. America • Giovanni-Matteo Contarini: first map to show America (1506) North America (part of China) West Indies South America 14 14
  • 15. Cosmic Space • Copernicus (1530): the Earth is not the center of space • Galileo (1632): the celestial world 15
  • 16. Cosmic Space • Descartes (1637): space and geometry are computable • Descartes: space is full of matter - if there is no matter, there is no space • Von Guericke (1650) & Boyle (1659): the vacuum • Huygens (1678): an “aether gas" permeates all space (needed to explain how light propagates in space) • Newton (1687): absolute space - empty, infinite and immutable 16
  • 17. Immanuel Kant (1781) • Space is in our mind 17
  • 18. Non-Euclidean Geometry • The nature of parallel lines • Space can be curved • 1824: Carl Friedrich Gauss • 1830s: János Bolyai and Ivanovich Lobachevsky • 1854: Bernhard Riemann 18
  • 19. Non-Euclidean Art • Violations of the law of perspective Turner’s blurred nature • Emancipation of color: color becomes “the” space • Impressionism: the real subject is the brush stroke itself (the very fabric of space) Manet’s curved horizon Monet’s abstract space 19
  • 20. Travel • Steamship • Train • Airplane • Automobile 20
  • 22. Einstein • The aether is unnecessary • Space is not absolute • Hermann Minkowski: spacetime • General relativity: spacetime and matter interact (“curved space”) • Spacetime is not just a stage but an actor in the story of the universe 22
  • 23. Quantum Mechanics • The Planck distance, the minimum distance between two “things” • The quantum vacuum 23
  • 24. Cubism • Braque: a new language of space (space is discrete and empty space matters) - quantum art 24
  • 25. Suprematism • Kazimir Malevich’s “White on White” (1918) – “It is not an empty square… it is full of the absence of any object” 25
  • 26. Surrealism • Surrealism – Distortion of space and time Magritte 26 Tanguy
  • 27. Modern Space • Edwin Hubble: The universe is expanding in all directions (and the expansion is accelerating) • Superstring Theory: 10 or 26 dimensions • Higgs Field: it permeates and creates our universe • Lee Smolin: A volume cannot be divided forever -there is an elementary unit of volume (also Roger Penrose's spin networks) 27
  • 29. Modern Space • Moon Landing 29
  • 31. Non-human (post-human?) Space • Voyager • Mars Rover 31
  • 32. Cyberspace • Reality is not real but virtual • The word "distance“ becomes meaningless 32
  • 33. Space and Life • Life without Time? Many people would like it (no aging!) • Life without Space? Life without my favorite park, beach, cafe, library, museum…? Hmmm… 33
  • 34. Space is not boring • Space is 34