Download presentation

Presentation is loading. Please wait.

Published byAlexis Nolan Modified over 4 years ago

1
Mathematical Universe Cambridge 2013

2
One may say the eternal mystery of the world is its COMPREHENSIBILIY

3
On 25th of November 1915, after a period of pain and struggle, Einstein finally writes down the final form of his gravitational field equations.

6
Kosmologische Betrachtungen zur allgemeinen Relativitätstheorie, Sitsungsberichte der Preussischen Akad. d. Wissenschaften, 1, 1917, 142-152.

9
= 0 1922 1924 1927

10
Λ > 0 1931

11
1929

12
Einsteins equations new that much earlier

13
Supernova in NGC 4526

14
Acceleration of the Universe

15
Schwarzschild, K. (1916). "Über das Gravitationsfeld eines Massenpunktes nach der Einstein'schen Theorie". Sitzungsberichte der Königlich Preussischen Akademie der Wissenschaften 1: 189–196.

16
The simplest kind of black hole in theory but one that could never occur in the real universe. A Schwarschild black hole doesn't rotate, has no electric charge, and exists in a spacetime with no other masses. There exist more realistic solutions to Einsteins equations describing black holes (Kerr – rotates, no charge, Reissner-Nordstrom – charge, no rotation)

17
NGC 4261

18
NGC 7052 How did equations know about that?

19
Gravitational waves are ripples in the curvature of spave-time which propagate as a wave travelling outward from the source. Einstein, A., "Über Gravitationswellen." Sitzungsberichte, Preussische Akademie der Wissenschaften, 154, (1918). Two-dimensional representation of gravitational waves generated by two neutron stars orbiting each other.

20
AURIGA is the Antenna Ultracriogenica Risonante per l'Indagine Gravitazionale Astronomica, or "ultra-cryogenic resonant antenna for gravitational- wave astronomy." The detector consists of an aluminum cylinder 3 meters in length and weighing approximately 2.3 tons. LIGO: laser interferometer

21
The Binary Pulsar PSR 1913+16 In 1993, the Nobel Prize in Physics was awarded to Russell Hulse and Joseph Taylor of Princeton University for their 1974 discovery of a pulsar, designated PSR1913+16, in a binary system, in orbit with another star around a common center of mass. Using the Arecibo 305m antenna, Hulse and Taylor detected pulsed radio emission and thus identified the source as a rapidly rotating, highly magnetized neutron star. The neutron star rotates on its axis 17 times per second; thus the pulse period is 59 milliseconds. The Vela Pulsar and its surrounding pulsar wind nebula.

23
What equations did know before it has been detected? We have discussed: 1.Expansion of the universe 2.Acceleration of the universe – cosmological constant – dark energy (?) 3.Gravitational collapse – black holes 4.Gravitational waves There are more such wonders: 1.Three classical tests: bending of light, perihelion motion, gravitational red shift 2.CMB – a window into the early history of the universe 3.Origin of chemical elements in the universe 4.Evolution of massive stars 5.............. 6.............. In predicting some of these effects equations from various branches of physics had to be combined

24
Hertz once said of Maxwell's equations, "One cannot escape the feeling that... they have an intelligence of their own, that they are wiser than we are, wiser even than their discoverers, that we get more out of them than was originally put into them." Hinrich Hertz James Clerk Maxwell

25
WHAT DOES IT MEAN THAT THAT THE UNIVERSE IS MATHEMATICAL?

26
Common sense view: Mathematics is a purely formal science; mathematical structures are lacking causal powers. The role of matheatics in physics is purely descriptive. There is a physical world, and it just happens that some mathematical structures descibe it correctly (up to a certain approximation) Let us take a look at the current practice of physicists...

27
The theory of weak interactions tells us that that this happens because the down quark, being a part of a neutron, transforms into the up quark, emitting an intermediating boson W- which, in turn, decays into an electron and antineutrino. Is it a description ?

28
Listen To The Sunset Listen to the sunset, Hear its silent sigh As it falls down the horisen Warning, the moon is nigh Listen to the sunset Hear its silent threat That darkness will be upon us It makes everyone upset Listen to the sunset The vanity of its words How beautiful this sunset is With its colour, and birds Katniss Everdeen

29
However, physicists, in their practice, treat this process in a radically different way. Elementary particles are but places within the mathematical structure and outside of this structure have no meaning at all. Physical nature of elementary particles, and their interactions with other particles, is entirely determined by the mathematical structure. The beta minus decay is not described by mathematics; it is prescribed by it. Analogy with hardwere and softwere.

30
Einstein has given us new worlds

31
Gotfried Wilhelm Leibniz in the margin of his Dialogue: When God calculates and thinks things through, the world is made.

Similar presentations

OK

Neutron Stars & Black Holes. Neutron Stars and Black Holes I. Neutron Stars A. Remnant from the collapse of a _________. B. During the core collapse of.

Neutron Stars & Black Holes. Neutron Stars and Black Holes I. Neutron Stars A. Remnant from the collapse of a _________. B. During the core collapse of.

© 2018 SlidePlayer.com Inc.

All rights reserved.

To ensure the functioning of the site, we use **cookies**. We share information about your activities on the site with our partners and Google partners: social networks and companies engaged in advertising and web analytics. For more information, see the Privacy Policy and Google Privacy & Terms.
Your consent to our cookies if you continue to use this website.

Ads by Google

Ppt on dsp Ppt on java virtual machine Ppt on home security system using microcontroller Ppt on electricity from waste Ppt on narendra modi Ppt on game theory examples Ppt on network theory Ppt on pre ignition causes Ppt on operator overloading in c++ Ppt on infrared remote control