bibliography
493
also called the limbic system, contains the amygdala, the hypothalamus and the hippocampus; the human (and primate) (rational) brain, called the neocortex, consists of the famous
grey matter. For images of the brain, see the atlas by John Nolte, The Human Brain: An
Introduction to its Functional Anatomy, Mosby, fourth edition, 1999. Cited on page 25.
23
The lower left corner film can be reproduced on a computer after typing the following lines
in the Mathematica software package: Cited on page 26.
But our motion detection system is much more powerful than the example shown in the
lower left corners. The following, different film makes the point.
Similar experiments, e.g. using randomly changing random patterns, show that the eye
perceives motion even in cases where all Fourier components of the image are practically zero; such image motion is called drift-balanced or non-Fourier motion. Several examples are presented in J. Zanker, Modelling human motion perception I: Classical stimuli, Naturwissenschaften 81, pp. 156–163, 1994, and J. Zanker, Modelling human motion
perception II: Beyond Fourier motion stimuli, Naturwissenschaften 81, pp. 200–209, 1994.
Modern research has helped to find the corresponding neuronal structures, as shown in
S. A. Baccus, B. P. Olveczky, M. Manu & M. Meister, A retinal circuit that computes object motion, Journal of Neuroscience 28, pp. 6807–6817, 2008.
24
All fragments from Heraclitus are from John Mansley Robinson, An Introduction to
Early Greek Philosophy, Houghton Muffin 1968, chapter 5. Cited on page 27.
25
An overview over these pretty puzzles is found in E. D. Demaine, M. L. Demaine,
Y. N. Minski, J. S. B. Mitchell, R. L. Rivest & M. Patrascu, Picture-hanging
puzzles, preprint at arxiv.org/abs/1203.3602. Cited on page 33.
copyright © Christoph Schiller June 1990–March 2015 free pdf file available at www.motionmountain.net
« Graphics‘Animation‘
Nxpixels=72; Nypixels=54; Nframes=Nxpixels 4/3;
Nxwind=Round[Nxpixels/4]; Nywind=Round[Nypixels/3];
front=Table[Round[Random[]],{y,1,Nypixels},{x,1,Nxpixels}];
back =Table[Round[Random[]],{y,1,Nypixels},{x,1,Nxpixels}];
frame=Table[front,{nf,1,Nframes}];
Do[ If[ x>n-Nxwind && x<n && y>Nywind && y<2Nywind,
frame[[n,y,x]]=back[[y,x]] ],
{x,1,Nxpixels}, {y,1,Nypixels}, {n,1,Nframes}];
film=Table[ListDensityPlot[frame[[nf ]], Mesh-> False,
Frame-> False, AspectRatio-> N[Nypixels/Nxpixels],
DisplayFunction-> Identity], {nf,1,Nframes}]
ShowAnimation[film]
Motion Mountain – The Adventure of Physics
« Graphics‘Animation‘
Nxpixels=72; Nypixels=54; Nframes=Nxpixels 4/3;
Nxwind=Round[Nxpixels/4]; Nywind=Round[Nypixels/3];
front=Table[Round[Random[]],{y,1,Nypixels},{x,1,Nxpixels}];
back =Table[Round[Random[]],{y,1,Nypixels},{x,1,Nxpixels}];
frame=Table[front,{nf,1,Nframes}];
Do[ If[ x>n-Nxwind && x<n && y>Nywind && y<2Nywind,
frame[[n,y,x]]=back[[y,x-n]] ],
{x,1,Nxpixels}, {y,1,Nypixels}, {n,1,Nframes}];
film=Table[ListDensityPlot[frame[[nf ]], Mesh-> False,
Frame-> False, AspectRatio-> N[Nypixels/Nxpixels],
DisplayFunction-> Identity], {nf,1,Nframes}]
ShowAnimation[film]
494
bibliography
27
An introduction to the story of classical mechanics, which also destroys a few of the myths
surrounding it – such as the idea that Newton could solve differential equations or that he
introduced the expression 𝐹 = 𝑚𝑎 – is given by Clifford A. Truesdell, Essays in the
History of Mechanics, Springer, 1968. Cited on pages 34, 177, and 212.
28
The slowness of the effective speed of light inside the Sun is due to the frequent scattering
of photons by solar matter. The best estimate of its value is by R. Mitalas & K. R. Sills,
On the photon diffusion time scale for the Sun, The Astrophysical Journal 401, pp. 759–760,
1992. They give an average speed of 0.97 cm/s over the whole Sun and a value about 10 times
smaller at its centre. Cited on page 36.
29
C. Liu, Z. Dutton, C. H. Behroozi & L. Vestergaard Hau, Observation of coherent optical information storage in an atomic medium using halted light pulses, Nature 409,
pp. 490–493, 2001. There is also a comment on the paper by E. A. Cornell, Stopping light
in its track, 409, pp. 461–462, 2001. However, despite the claim, the light pulses of course
have not been halted. Can you give at least two reasons without even reading the paper, and
maybe a third after reading it?
The work was an improvement on the previous experiment where a group velocity of
light of 17 m/s had been achieved, in an ultracold gas of sodium atoms, at nanokelvin temperatures. This was reported by L. Vestergaard Hau, S. E. Harris, Z. Dutton &
C. H. Behroozi, Light speed reduction to 17 meters per second in an ultracold atomic gas,
Nature 397, pp. 594–598, 1999. Cited on page 36.
30
Rainer Flindt, Biologie in Zahlen – Eine Datensammlung in Tabellen mit über 10.000
Einzelwerten, Spektrum Akademischer Verlag, 2000. Cited on page 36.
31
Two jets with that speed have been observed by I. F. Mirabel & L. F. Rodríguez, A
superluminal source in the Galaxy, Nature 371, pp. 46–48, 1994, as well as the comments on
p. 18. Cited on page 36.
32
A beautiful introduction to the slowest motions in nature, the changes in landscapes, is
Detlev Busche, Jürgen Kempf & Ingrid Stengel, Landschaftsformen der Erde –
Bildatlas der Geomorphologie, Primus Verlag, 2005. Cited on page 37.
33
To build your own sundial, see the pretty and short Arnold Zenkert, Faszination
Sonnenuhr, VEB Verlag Technik, 1984. See also the excellent and complete introduction
into this somewhat strange world at the www.sundials.co.uk website. Cited on page 42.
34
An introduction to the sense of time as a result of clocks in the brain is found in R. B. Ivry
& R. Spencer, The neural representation of time, Current Opinion in Neurobiology 14,
pp. 225–232, 2004. The chemical clocks in our body are described in John D. Palmer,
The Living Clock, Oxford University Press, 2002, or in A. Ahlgren & F. Halberg,
Cycles of Nature: An Introduction to Biological Rhythms, National Science Teachers Association, 1990. See also the www.msi.umn.edu/~halberg/introd website. Cited on page 42.
Challenge 704 s
copyright © Christoph Schiller June 1990–March 2015 free pdf file available at www.motionmountain.net
An introduction to Newton the alchemist are the two books by Betty Jo Teeter Dobbs,
The Foundations of Newton’s Alchemy, Cambridge University Press, 1983, and The Janus
Face of Genius, Cambridge University Press, 1992. Newton is found to be a sort of highly
intellectual magician, desperately looking for examples of processes where gods interact with the material world. An intense but tragic tale. A good overview is provided by
R. G. Keesing, Essay Review: Newton’s Alchemy, Contemporary Physics 36, pp. 117–119,
1995.
Newton’s infantile theology, typical for god seekers who grew up without a father,
can be found in the many books summarizing the letter exchanges between Clarke, his
secretary, and Leibniz, Newton’s rival for fame. Cited on page 34.
Motion Mountain – The Adventure of Physics
26