The Golden Ratio: From Physics to the Human Brain, Behavior, Esthetics and Ethics Ramzi Suleiman

1. The Golden Ratio: From Physics to the Human Brain, Behavior, Esthetics and Ethics Ramzi Suleiman University of Haifa Visiting Professor at the VU Home Page: http://suleiman.haifa.ac.il Paper presented at the Department of Social and Organizational Psychology Free University of Amsterdam, May 23 2013

2. An Alternative Title: • + = 1

3. But First We need to get acquainted with the Golden Ratio, known also as the Golden Section, and the Divine Ratio.

4. It is the irrational number: φ = 0.618 and its twin: Φ = 1.618 It is the only number that satisfies: x + 1 = (or + x = 1) x + 1 ≈ 0.618 + 1 = 1.618 ≈ 1.618

5. ≈ 0.618 a ≈ 1.618 b

6. The Golden Ratio and the Fibonacci Numbers Definition

7. The Golden Ratio , where is the nth term of the Fibonacci Series: 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, …. in which each term is equal to the sum of the two preceding terms

8. The golden ratio has fascinated intellectuals of diverse interests for at least 2,400 years. “It is probably fair to say that the Golden Ratio has inspired thinkers of all disciplines like no other number in the history of mathematics” Source: LivioM., (2002)The Golden Ratio: The Story of Phi, The World's Most Astonishing Number

9. The Golden Ratio is a significant number, not only due to its unique mathematical properties, but also due to its significant role in science and technology, starting from physics, to life science, to humans' perception, cognition and emotion, to social sciences, particularly the study of humans' socio-economic behavior, values and religious convictions

10. A shall say a very little about its appearance in • Life Forms, Geometry, Art, Architecture and Design • Physics Human Brain Music Economics Ethics

12. Golden Ratio in Life Forms The Golden Ratio and the Fibonacci Series (which converges to the Golden Ratio), play a key role in life form by determining the structure of plants and animals (Hammel, 1987; Klar, Nature, 2002), including the thehuman body (Livio, 2002), human DNA, and more ….

13. 34 =

33. The CN Tower in Toronto, the tallest tower and freestanding structure in the world, contains the GoldenRatioin its design. Theratio of observationdeckat 342 meterstothetotalheight of 553.33 is 0.618 orphi, thereciprocal of Phi! The Great Pyramid of Giza

35. Golden Ratio in Design Rectangular shapes with width to length ratio of ≈ 0.618 are widely used in the design of TVs, computer screens, and credit cards, due to feelings of pleasantness and harmony that the Golden Ratio is believed to induce (Livio, 2002; Olsen, 2006; Pittard, Ewing & Jevons, 2007).

38. Golden Ratio in Physics

39. Golden Ratio In Experimental Physics Chains of cobalt niobatebecome critically quantum at energies equaling the Golden Ratio Source: You Tube Source: Coldeaet al., Science, 2010

40. The Golden Ratio in Theoretical Physics Suleiman, R. The Dark Side Revealed: A Complete Relativity Theory Predicts the Content of the Universe. Forthcoming in Progress in Physics, Vol. 3 July, 2013 v m0 V– relative velocity

41. A Complete Theory of Relativity (CR)Suleiman, R., 2013 Picture recently taken at the Israeli Academy of Sciences in Jerusalem.

42. CR theory is based on two postulates: . 1. Every Thing is Relative 2. all transfer of information from one frame of reference to another is carried by light or electromagnetic waves of equal velocity.

43. The postulated complete relativism constitutes a profound departure from the theories of Galileo-Newton and Einstein-Lorentz, since it "cuts the universe loose with no anchor", neither a fixed, nonrelativistic, spatial reference, as in Galileo-Newton's mechanics, nor a fixed reference point on the velocities dimension (the velocity of light), as in Einstein's mechanics.

44. REALITY IS IN THE EYES OF THE BEHOLDER AND HIS /HER TELESCOPE LENSE Unlike Quantum Mechanics, my theory does not contradict Einstein’s view of “Local Realism”. However, I argue that what counts is not the local realism of things, but the relativistic information about them, as it is recorded by our measurement devices and processed by our senses and cognitive system. In the words of Einstein: what is behind the veil is the “OLD Guy’s” business. It is YAHWAH’s not ours

45. The Golden Ratio in Theoretical Physics A Complete Relativity Theory (Suleiman, R. Progress in physics, vol. 3, 2013) The Kinetic Energy as a function of velocity: E = ½ m0 V – relative velocity C – velocity of light

46. Denote = β • To calculate the value β = βcr.which satisfies E = Emax we derive β2 with respect to β and equate the derivative to zero. • This yields: • (β2 = 2 β + β2 • = 2 β = 0.  

47. for β ≠ 0 and we get: • β2+ β – 1 = 0 • which yields: • β1. = φ = 0.618 • β.2 = - (φ +1) = ≈ 0.618

48. Golden Ratio In Theoretical Physics • Suleiman, R. (2013). The Dark Side Revealed: A Complete Relativity Theory Predicts the Content of the Universe. To appear in Progress in Physics, vol. 3.

49. The obtained energy term enables to derive plausible definitions of Dark Matter and Dark Energy and to predict their amount in the Universe with high precision

50. Content of the Universe Source: NASA site