A material called spacetime
Abstract
Colloquium of the Study Center Mechanics, Darmstadt University of Technology, Germany 21 August 2017 Ralf Greve, Institute of Low Temperature Science, Hokkaido University, Japan "A material called spacetime"
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A material called spacetime Ralf Greve Institute of Low Temperature Science, Hokkaido University, Sapporo, Japan Credit: bornscientist.com
Ralf Greve: A material called spacetime 2/21 The classical concept of space and time Space: Empty space = three-dimensional “nothing”, but can be filled with matter. Time: Describes the continued progress of existence and events. Exists independently of anything else. Progresses uniformly from –∞to +∞.
Ralf Greve: A material called spacetime 3/21 Concept of absolute space and time works well in everyday life Newtonian mechanics in general, celestial mechanics, continuum mechanics…
Ralf Greve: A material called spacetime 4/21 Galilei transformation Credit: User:Krea @ Wikimedia Commons Frames of reference: Transformation equations for any point (“event”) P:
Ralf Greve: A material called spacetime 5/21 The nature of light Particle theory vs. wave theory: Wave theory triumphs: Young, Fresnel (early 19th century): Newton’s rings, double-slit experiments → interference! Light is a transverse wave. Credit: www.olympus-lifescience.com Credit: U. Seifert @ Wikimedia Commons
Ralf Greve: A material called spacetime 6/21 Aether Waves need a medium for propagation → “aether”: Filling entire space. Invisible, massless, no viscosity. Much more rigid than steel to support the high frequencies (4–8 ×1014 Hz !) of light waves. ????? ?
Ralf Greve: A material called spacetime 7/21 Electromagnetic theory Faraday, Maxwell (mid-19th century): Light is an electromagnetic wave. Doesn’t need a mechanical medium, propagates through empty space. Credit: E. Boutet @ Wikimedia Commons
Ralf Greve: A material called spacetime 8/21 Maxwell’s (macroscopic) equations Gauss’s law: Gauss’s law for magnetism: Faraday’s law of induction: Ampère’s law: E: electric field D: electric displacement field ρf: free charge density B: magnetic B-field (flux density) H: magnetic H-field Jf: free current density
Ralf Greve: A material called spacetime 9/21 Closure requires constitutive equations In vacuum (= empty space): ε0: permittivity of free space μ0: permeability of free space → Wave equations: c: speed of light in free space (c= 299,792,458 m/s)
Ralf Greve: A material called spacetime 16/21 Indirect detection of gravitational waves Hulse–Taylor binary Binary pulsar, discovered in 1974. Gradual decay of its 7.75-hour orbit due to radiation of gravitational waves (power ~ 7 × 1024 W). (Solar system only ~ 5 kW) 1993 Nobel Prize in Physics Credit: Shane L. Larson, NASA/GSFC
Ralf Greve: A material called spacetime 17/21 Direct detection of gravitational waves Advanced Laser Interferometer Gravitational-Wave Observatory (LIGO) – 2 observatories in the US LIGO Livingston (LA) Observatory. Credit: www.ligo.caltech.edu
Ralf Greve: A material called spacetime 18/21 Direct detection of gravitational waves
Ralf Greve: A material called spacetime 19/21 Direct detection of gravitational waves 20xx Nobel Prize in Physics ?
Ralf Greve: A material called spacetime 20/21 Summary Spacetime itself can be considered a material: physical properties, constitutive equations. Alternative interpretation: spacetime = aether. Open questions, speculations Physics of black holes & Big Bang: General relativity + quantum mechanics. Other spacetimes (or something completely different)?
Thank you THANK YOU Credit: dansalisbury.com