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The Physical Causes of Relativity RELATIVITY Based on Physical Processes Budapest 2009 by Albrecht Giese Hamburg, Germany 1 The Physical Causes of Relativity Contents “Space” and “Time”? Special Relativity Origin of Mass General Relativity ‘ 2 2 The Physical Causes of Relativity The Leading Question Einstein’s Relativity is based on assumptions about “Space” and “Time” 1. Is this the only possible way? 2. Is this a good way? . ‘ 3 3 The Physical Causes of Relativity Einstein’s Statement (Original Paper 1905) From the origin of a system k there shall a light beam be transmitted at the time 0 along the X-axis to x’ and from there at the time 1 reflected back to the origin, where it shall arrive at time 2; so, there must be ½(0+2) = 1 ‘ 4 4 The Physical Causes of Relativity … shall a light beam be transmitted at the time 0 along the X-axis to x’ and from there at the time 1 reflected back to the origin, where it shall arrive at time 2; v d X x‘ O 0 + 2 1 = 1/2(0+2)? 1 Note: The one-way speed of light cannot be measured independently ‘ 5 5 The Physical Causes of Relativity Philosopher Hans Reichenbach in “The Philosophy of Space and Time”: “ … This definition is essential for the special theory of relativity, but it is not epistemologically necessary. Einstein’s definition, too, is only one possible definition. …” The special theory prefers ½ ... ,” it does so on the ground that this definition leads to simpler relations”. … X X The intention of this talk is to show: Relativity of Einstein based on space-time is not the good solution Relativity can be based on physical processes rather principles This is . Much-much easier . Gives information about other areas, e.g. particle physics ‘ 6 6 The Physical Causes of Relativity Contents “Space” and “Time”? Special Relativity Origin of Mass General Relativity ‘ 7 7 The Physical Causes of Relativity Special Relativity: Its Elements • Contraction • Dilation • Constancy of c • Increase of Mass • Energy-Mass Relation E m c2 ‘ 8 8 The Physical Causes of Relativity Special Relativity: History of the contraction 1888: O. Heaviside Electric fields contract at motion 1889 G.F. FitzGerald Objects contract at motion 1892: H.A. Lorentz Michelson-Morley apparatus contracts at motion which explains the null-result of the experiment: d d' 1 *d v2 1/ 1 2 c Sufficient to understand relativity? 1932: R.J. Kennedy E.M.Thorndike The experiment cannot be explained by pure contraction Needs dilation also ‘ 9 9 The Physical Causes of Relativity Special Relativity: Dilation is the consequence of internal motion History of the internal motion 1908: J. Ziegler Motion at c of the ‘smallest objects’ 1924: L. de Broglie Internal oscillation causes ‘matter waves’ frequency: E/h 1928: P. Dirac Relativistic QM-function of the electron: H ( x, t ) i 1930: E. Schrödinger ( x, t ) t Evaluation of the Dirac Function: x k (t ) x k (0) c 2 pk H 1t 1 c 1( k (0) cpk H 1 )(e 2iHt 1) icH 2 ‘ Zitterbewegung 10 10 The Physical Causes of Relativity “Zitterbewegung” (Schrödinger) Completed Structure of an Elementary Particle: =E/h (de Broglie 1924) v=c (Dirac / Schrödinger 1928/30) orbit (Spin, mag. moment) N=2 (Momentum law) m=0 (Relativity) No conflict with the electron experiments ‘ 11 11 The Physical Causes of Relativity Special Relativity: Dilation For the helical motion: q 2 c 2 v 2 Pythagoras T 2pR c T ' 2pR q T' c v2 1/ 1 2 T q c d 1 dt 1 „Speed of proper time“ d c c2 v 2 dt 2 2 v v2 c2 i.e. the Lorentz-Factor d c v 2 c2 dt 2 2 d c dt ‘ 12 12 The Physical Causes of Relativity Contents “Space” and “Time”? Special Relativity Origin of Mass General Relativity ‘ 13 13 The Physical Causes of Relativity Static field of a point charge U U 1 r ‘ www.ag-physics.org /rmass 14 14 The Physical Causes of Relativity Field of a moving charge U U U U 1 r 1 r 1 r ‘ www.ag-physics.org /rmass 15 15 The Physical Causes of Relativity The Origin of Mass: Bind of the Basic Particles F K q2 r r0 r3 ‘ /rmass 16 16 The Physical Causes of Relativity Bind of the Basic Particles at motion r F F K q2 r r r3 F ‘ /rmass 17 17 The Physical Causes of Relativity The Mass Equation F K q2 r r0 r3 E m c2 F a C 1 r c2 m F 1 C a r c2 E h h c 2pR c R m R c universal for all elem. particles! The classical magnetic moment: 1 c e0 R 2 Radius R computed from the magnetic moment and then inserted above the correct mass m Or both equations combined: 1 e0 2 m = Bohr magneton in case of the electron universally valid for all elem. particles ‘ ‘ /rmass 18 18 The Physical Causes of Relativity Mass and Increase of Mass F K q2 r r0 r3 F a C m E h h c 2pR c R E m c2 1 r c2 m F 1 C a r c2 R r /2 R c ------------------------------------------------------------------------------------------------------------------------Relativistic increase of mass: From Putting the object to motion: Spin: m R c R R' R dE dm c 2 m m' m E m c2 mR c Classical angular momentum ‘ /rmass 19 19 The Physical Causes of Relativity Contents “Space” and “Time”? Special Relativity Origin of Mass General Relativity ‘ 20 20 The Physical Causes of Relativity The Shapiro-Experiment: Einstein‘s view: this is a seeming reduction of c c c G M c (r ) c 0 1 2 2 r c0 P P=1/2 or 1 depending on direction ‘ /gravity 21 21 The Physical Causes of Relativity The gravitational field of the sun: G M c (r ) c 0 1 2 2 r c0 P P=1/2 or 1 depending on direction Einstein‘s view: the path ís straight but the space is curved The application of classical refraction yields for the vertex: a G M r2 Integrating deflection from – to + yields: 1.75 arcsec …. with Newton: 0.88 arcsec This was the great breakthrough for Einstein in 1919 (Solar eclipse)!! Now: Acceleration at rest!! ‘ /gravity 22 22 The Physical Causes of Relativity Elementary Particle in a Gravitational Field (with Vertical Axis): c c a G M r2 No dependency of the mass! Gravit. Source ‘ /gravity 23 23 The Physical Causes of Relativity Formal Treatment of General Relativity (Gravity) Schwarzschild Solution: (1 rs r 2 )x 0 (1 s )1 r 2 r 2 2 c 2 r r is the basis for the proofs of General Relativity: - Perihelion Advance - Gravitational Lensing - … ‘ /gravity 24 24 The Physical Causes of Relativity Formal Result of General Relativity (Gravity) 1 Reduced speed of light c r c c 1 s r 1/ 2 rs c c 1 r GM r c2 G *N rs 2 r c2 rs 2 for radial motion for tangential motion 1 rs 2 ) d r Reduced field distance d ' (1 Lorentz Transformation (time-related) d c c2 v 2 dt in radial direction 2 Speed split into radial/tangential portion Now Gravity: 2 d c2 c2 dt 2 r 2 r 2 2 1 r dr r d d c c 2 1 s 1 s r 2 r dt r dt dt 2 2 2 2 2 dt d 1 r r c c t 1 s r 2 1 s r 2 2 r r 2 2 2 ‘ Schwarzschild Solution /gravity 25 25 The Physical Causes of Relativity Derivation of the Schwarzschild Solution (via Einstein) Riemann Geometry Field Equations 26 26 ‘ The Physical Causes of Relativity Derivation of the Schwarzschild Solution (via the Basic Particle Model) 1 Reduced speed of light c r c c 1 s r 1/ 2 rs c c 1 r GM r c2 G *N rs 2 r c2 rs 2 for radial motion for tangential motion 1 rs 2 ) d r Reduced field distance d ' (1 Lorentz Transformation (time-related) d c c2 v 2 dt in radial direction 2 Speed split into radial/tangential portion Now Gravity: 2 d c2 c2 dt 2 r 2 r 2 2 1 r dr r d d c c 2 1 s 1 s r 2 r dt r dt dt 2 2 2 2 2 dt d 1 r r c c t 1 s r 2 1 s r 2 2 r r 2 2 2 ‘ Schwarzschild Solution /gravity 27 27 The Physical Causes of Relativity What is Gravity? Gravity is the change of the speed of light ‘c’ in the vicinity of an object But: What is the physical reason for the change of the speed of light ‘c’ in the vicinity of an object? ‘ www.ag-physics.org 28 28 The Physical Causes of Relativity Why is ‘c’ reduced? --> by the perturbed path of a light-like particle c Force is the Strong Force This solves Quantum Gravity! Average speed <c Reduction of c independent of Radius independent of mass ‘ /gravity 29 29 The Physical Causes of Relativity Open problems in Gravity / Cosmology Dark Matter Acceleration (Dark Energy / Cosmological Constant) Quantum Gravity ‘ /gravity 30 30 The Physical Causes of Relativity Relativity / Gravity The Dark Matter Problem: Missing Matter in a rotating Galaxy www.ag-physics.org /gravity ‘ 31 31 The Physical Causes of Relativity Rotation of the Galaxy NGC 3198 Axions, neutralinos etc photons halo (of dark matter) ‘ www.ag-physics.org /gravity 32 32 The Origin of Gravity Inflation •The need for inflation: At early times there was a causal connection between regions which move off each other at extreme speed requirement for contracted space Alternativ: 1050 Development of ‘c’ c/c0 1025 1 Big Bang time now •The need for causal connection: Is also fulfilled with a high value of ‚c‘ in an unaltered space ‘ www.ag-physics.org /gravity 33 33 The Origin of Gravity Need for Dark Energy? Development of the Universe: 1050 Development of ‘c’ c/c0 1025 1 Big Bang time now •Doppler-Effect: If ‚c‘ was higher at early times then we get – from the formula – a higher speed for the early supernovae. The • acceleration at later times disappear. www.ag-physics.org /gravity DopplerEffekt: v c ‘ 34 34 The Physical Causes of Relativity Summary What is about space-time? Space-time is not necessary, not helpful, makes relativity complicated What are the benefits of our approach? Relativity (gravity!) can easily be understood This approach explains: The “only attracting” effect The “Dark Matter” phenomenon The “Dark Energy” phenomenon This approach maintains: The classical (and naïve) understanding of space and time This approach avoids: Conflicts between gravity and quantum theory QUANTUM GRAVITY becomes obsolete The necessity of the Equivalence Principle (which is an fact derived here) The force #4 assigned to gravity (non-existent; step towards a unified theory) ‘‘ www.ag-physics.org /gravity 35 35 Basing Relativity on Physical Processes The End ‘ www.ag-physics.org /gravity 36 36