1. How generalized Minkowski four-force leads to scalar-tensor gravity György Szondy Logic, Relativity and Beyond 2nd International Conference August 9-13 2015, Budapest

2. Theories of Gravitation http://en.wikipedia.org/wiki/History_of_gravitational_theory ~50 alternatives andextensions LRB15 - Szondy: Scalar-Tensor Gravity22015.08.09.

3. Special Relativity and Minkowski four-force Scalar-Tensor Gravity Quantum effects (causing this Scalar field) Topics LRB15 - Szondy: Scalar-Tensor Gravity32015.08.09.

4. Minkowski (four)-force P2P2 m0m0 REST MASS is INVARIANT t x F F F LRB15 - Szondy: Scalar-Tensor Gravity42015.08.09. orthogonal

5. Generalized minkowski-force m1m1 m2m2 F Károly Novobátzky in the ´50s t x LRB15 - Szondy: Scalar-Tensor Gravity5 Similar to Higgs-field 2015.08.09.

6. Static gravitational field m1m1 m2m2 F E = const (Brans & Dicke 1961) t x LRB15 - Szondy: Scalar-Tensor Gravity 62015.08.09. 

7. Static gravitational field - remarks (Brans & Dicke 1961) LRB15 - Szondy: Scalar-Tensor Gravity 72015.08.09.  1.Light has no rest- mass  same as GR 3.Mercury perihelion advance can be calculated from the curvature effects 4.B&D in they original paper insisted on the constancy of rest mass, and used conform transformation to transform their result back to GR and tried to vary the gravitational constant

8. Conformal transformation applied by Brans & Dicke LRB15 - Szondy: Scalar-Tensor Gravity8 Scalar-Tensor theory: Getting back General Relativistic equation of motion: 2015.08.09.

9. How to transform Schwarzscild solution to Scalar-Tensor gravity Schwarschild solution uses standard coordinates Isotropic coordinates LRB15 - Szondy: Scalar-Tensor Gravity92015.08.09. Coordinate transformation Schwarzschild metric:

10. Understanding Schwarzscild metric LRB15 - Szondy: Scalar-Tensor Gravity10 Event horizon standard isotropic … in isotropic coordinates Einstein-Rosen bridge 2015.08.09.

11. Scalar field - Coordinate independent? g 00 in isotropic coordinates (gravitational potential) LRB15 - Szondy: Scalar-Tensor Gravity11 Ricci scalar in isotropic coords (after conformal transformation) 2015.08.09.

12. How can curvature effect Rest-Mass? Particle model from caracteristic lengths LRB15 - Szondy: Scalar-Tensor Gravity12 Schwarzschild-radius Quantum-radius Rest-mass and size depends on ‚k’ quantum number 2015.08.09.

13. How can background-curvature effect Rest-Mass? Particle model from caracteristic lengths LRB15 - Szondy: Scalar-Tensor Gravity13 Background curvature Modified Schwarzschild-radius 2015.08.09.

14. Conclusion General force field can change rest mass In scalar-tensor gravity Newtonian gravity and curvature-effects are seperated Background curvature changes rest mass Rest mass change are due to quantum effects Gravitational constant is different for different elementary particles LRB15 - Szondy: Scalar-Tensor Gravity142015.08.09.

15. References 1.Gy. Szondy, A Pure Geometric Approach to Derive Quantum Gravity from General Relativity; viXra:1312.0222 (2013) 2.Gy. David, Lecture 2011.04.27, https://www.youtube.com (Novobatzky)https://www.youtube.com 3.C. Brans and R. H. Dicke, Mach's Principle and a Relativistic Theory of Gravitation, Phys. Rev. D 124 925-935 1961 4.Gy. Szondy, Linear Relativity as a Result of Unit Transformation, arXiv:physics/0109038 (2001) 5.Gy. Szondy, Mathematical Equivalency of the Ether Based Gavitation Theory of Janossy and General Relativity, arXiv:gr-qc/0310108 LRB15 - Szondy: Scalar-Tensor Gravity152015.08.09.

16. Comments & Questions 2015.08.09.LRB15 - Szondy: Scalar-Tensor Gravity16 Thank you for your attention!