On the Combined Nature of Newtonian Gravity: A Rosetta Stone for Gravitation

Öz

In this study, we give a Rosetta stone for gravitation. In 1836, Italian scientist Ottaviano-Fabrizio Mossotti hypothesized that universal gravitation might be a residual attractive force arising from an imbalance between electrical attraction and repulsion among charged particles. We postulated gravitational force formulas for particle pairs and explained weak field gravity or Newtonian gravity using these formulas and considering Ottaviano-Fabrizio Mossotti’s ideas on the gravity. We have shown that Newtonian gravitation is a combined force. We also give formulas for the Newtonian gravitation constant, G. This work unifies weak field gravity with electromagnetism and opens new possibilities for understanding gravitation further. Furthermore, this work brings Mossotti's theory to completion almost 190 years after its inception, comparing his framework with our own. Results of the paper can be used to develop a strong field gravity theory in the future. This paper requires only high school level of mathematics. We also suggest several experiments to verify whether the gravitational force formulas for particle pairs are correct or not. The suggested experiments are not costly and can be done in less than two years in our opinion.

Anahtar Kelimeler

• Gravity
• Nature of Gravity
• Spin-spin interaction
• Electromagnetic nature of gravity
• Unified field theory
• Weak field gravity
• Newtonian Gravity
• Mossotti’s Gravity theory.

Newton Yerçekiminin Birleşik Yapısı Üzerine: Yerçekimi İçin Bir Rosetta Taşı

Öz

Bu çalışmada, kütleçekim için bir Rosetta Taşı sunuyoruz. 1836 yılında İtalyan bilim insanı Ottaviano-Fabrizio Mossotti, evrensel kütleçekiminin yüklü parçacıklar arasındaki elektriksel çekim ve itim gücü arasındaki dengesizlikten kaynaklanan artık bir çekim kuvveti olabileceği hipotezini ortaya attı. Parçacık çiftleri için kütleçekim kuvveti formülleri varsaydık ve zayıf alan kütleçekimini veya Newton kütleçekimini, bu formülleri kullanarak ve Mossotti'nin fikirlerini göz önünde bulundurarak açıkladık. Newton kütleçekiminin bileşik bir kuvvet olduğunu gösterdik. Ayrıca, Newton kütleçekim sabiti G için formüller de sunuyoruz. Bu çalışma, zayıf alan kütleçekimini elektromanyetizma ile birleştirerek kütleçekimini daha iyi anlamak için yeni olanaklar sunuyor. Ayrıca bu çalışma, ortaya atılışından neredeyse 190 yıl sonra Mossotti'nin teorisini tamamlamakta ve onun yaklaşımını bizimkiyle karşılaştırmaktadır. Makalenin sonuçları, gelecekte güçlü bir alan kütleçekimi teorisi geliştirmek için kullanılabilir. Bu makale yalnızca lise düzeyinde matematik gerektirmektedir. Ayrıca, parçacık çiftlerine yönelik kütleçekim kuvveti formüllerinin doğru olup olmadığını doğrulamak için çeşitli deneyler öneriyoruz. Görüşümüze göre, önerilen bu deneyler yüksek maliyetli değildir ve iki yıldan kısa bir sürede gerçekleştirilebilir.

Anahtar Kelimeler

• Yerçekimi
• Yerçekiminin Doğası
• Spin-spin etkileşimi
• Yerçekiminin elektromanyetik doğası
• Birleşik alan teorisi
• Zayıf alan kütleçekimi
• Newton kütleçekimi
• Mossotti’nin kütleçekim kuramı

Kaynakça

1. Newton, Isaac (1999). The Principia, The Mathematical Principles of Natural Philosophy. Translated by Cohen, I.B.; Whitman, A. Los Angeles: University of California Press.
2. Feynman, Richard; Morinigo, F. B.; Wagner, W. G.; Hatfield, B. (1995). Feynman lectures on gravitation. Addison-Wesley. ISBN 978-0-201-62734-3.
3. Weinberg, Steven (1972). Gravitation and cosmology. John Wiley & Sons. ISBN 9780471925675.
4. Einstein, Albert (1916). "The Foundation of the General Theory of Relativity" (PDF). Annalen der Physik. 49 (7): 769822. Bibcode:1916AnP...354..769E. doi:10.1002/andp.19163540702. Retrieved 3 September 2006.
5. HENTSCHEL, K. (2004). MATTHEW R. EDWARDS (ed.), Pushing Gravity: New Perspectives on Le Sage's Theory of Gravitation. Montreal: Apeiron, 2002. Pp. iv+ 316. ISBN 0-9683689-7-2. $25.00 (paperback). The British Journal for the History of Science, 37(2), 234-235.
6. Heaviside, O. (1893). A gravitational and electromagnetic analogy. The Electrician, 31(Part I), 281-282.
7. Mashhoon, B. (2003). Gravitoelectromagnetism: a brief review. arXiv preprint gr-qc/0311030.
8. Lorentz, H. A. (1900). "Considerations on Gravitation" (PDF). Proceedings of the Royal Netherlands Academy of Arts and Sciences. 2: 559–574.

9. Poincaré (1908a); Poincaré (1908b) Book 3, Ch. 3
10. Kaluza, T. (1921). Zum unitätsproblem der physik. Sitzungsber. Preuss. Akad. Wiss. Berlin (Math. Phys.), 1921(arXiv: 1803.08616), 966-972.
11. Klein, O. (1926). Quantentheorie und fünfdimensionale Relativitätstheorie. Zeitschrift für Physik, 37(12), 895-906.
12. Klein, O. (1926). The atomicity of electricity as a quantum theory law. Nature, 118(2971), 516-516.
13. https://en.wikipedia.org/wiki/Kaluza%E2%80%93Klein_theory , accessed online July 2025
14. Sakharov, A. D. (2000). Vacuum quantum fluctuations in curved space and the theory of gravitation. General Relativity and Gravitation, 32(2), 365-367.
15. Visser, M. (2002). Sakharov's induced gravity: a modern perspective. Modern Physics Letters A, 17(15n17), 977-991.
16. Brandenburg, J. E., Unification of Gravity and Electromagnetism in the Plasma Universe, IEEE Transactions in Plasma Science 1992 20(6):944.
17. Brandenburg, J. E., A Model Cosmology Based on Gravity-Electromagnetism Unification, Astrophysics and Space Science 1995 227:133
18. Brandenburg, J. E. (2011). A Derivation of the Newton Gravitation Constant and the Proton Mass From The GEM Unification Theory of Baryo-Genesis. Journal of Cosmology, 17, 7200-7224.
19. Verlinde, E. (2011). On the origin of gravity and the laws of Newton. Journal of High Energy Physics, 2011(4), 1-27.
20. Verlinde, E. P. (2017). Emergent gravity and the dark universe. SciPost Physics, 2(3), 016.
21. Gillies, G. T. (1997). The Newtonian gravitational constant: recent measurements and related studies. Reports on progress in physics, 60(2), 151-225.
22. Cavendish, H. (1798). XXI. Experiments to determine the density of the earth. Philosophical Transactions of the Royal Society of London, (88), 469-526.
23. Heyl, P. R. (1930). "A redetermination of the constant of gravitation". Bureau of Standards Journal of Research. 5 (6): 1243–1290. doi:10.6028/jres.005.074.
24. 2022 CODATA Value: Newtonian constant of gravitation". The NIST Reference on Constants, Units, and Uncertainty. NIST. May 2024. Retrieved 18 May 2024.
25. Giudice, Gian Francesco. "Naturally speaking: the naturalness criterion and physics at the LHC." Perspectives on LHC physics (2008): 155-178.
26. Uzan, J. P. (2003). The fundamental constants and their variation: observational and theoretical status. Reviews of modern physics, 75(2), 403
27. Einstein, Albert (1916). "The Foundation of the General Theory of Relativity". Annalen der Physik. 354 (7): 769–822. Bibcode:1916AnP...354..769E. doi:10.1002/andp.19163540702.
28. Adler, Ronald; Bazin, Maurice; Schiffer, Menahem (1975). Introduction to General Relativity (2nd ed.). New York: McGraw-Hill. p. 345. ISBN 978-0-07-000423-8.
29. De Gouvêa, A. (2016). Neutrino mass models. Annual Review of Nuclear and Particle Science, 66(1), 197-217.
30. Díaz, M. A., Koch, B., & Panes, B. (2009). Gravity effects on neutrino masses in split supersymmetry. Physical Review D Particles, Fields, Gravitation, and Cosmology, 79(11), 113009.
31. Abbott, B. P., Abbott, R., Abbott, T. D., Acernese, F., Ackley, K., Adams, C., ... & Callister, T. A. (2017). Gravitational waves and gamma-rays from a binary neutron star merger: GW170817 and GRB 170817A. The Astrophysical Journal Letters, 848(2), L13.
32. Bonomi, G. (2025). The Effect of Gravity on Antimatter: The ALPHA Experiment. Particles, 8(1), 20.
33. Koenig, K.W. (2023) Weight Gain from Static Charging. Open Journal of Applied Sciences, 13, 89-93. https://doi.org/10.4236/ojapps.2023.131008
34. Kobakhidze, A. (2011). Gravity is not an entropic force. Physical Review D Particles, Fields, Gravitation, and Cosmology, 83(2), 021502.
35. Chaichian, M., Oksanen, M., & Tureanu, A. (2011). On gravity as an entropic force. Physics Letters B, 702(5), 419-421.
36. Clark, S. J., & Tucker, R. W. (2000). Gauge symmetry and gravito-electromagnetism. Classical and Quantum Gravity, 17(19), 4125-4157.
37. B. Mashhoon; F. Gronwald; H. I. M. Lichtenegger (2001), "Gravitomagnetism and the Clock Effect", Gyros, Clocks, Interferometers ...: Testing Relativistic Gravity in Space, Lecture Notes in Physics, vol. 562, pp. 83–108,
38. Mashhoon, B. (2001). Gravitoelectromagnetism. In Reference Frames and Gravitomagnetism (pp. 121-132).