There is a closed-form equation for the strong nuclear force
There is no known closed-form equation for the strong nuclear force; instead, quantum chromodynamics requires numerical simulations, approximations, and models to study nuclear interactions.
The claim states that a closed-form equation exists for the strong nuclear force. However, fundamental physics literature (such as papers 1, 2, and 3) establishes that quantum chromodynamics (QCD) equations cannot be solved directly in closed form, and physicists must rely on numerical simulations, lattice QCD, approximations, and physics-driven machine learning models. Therefore, the claim is refuted.
A. Schmidt, J. Pybus, R. Weiss, E. Segarra, A. Hrnjic, A. Denniston, O. Hen, E. Piasetzky, L. Weinstein, N. Barnea, M. Strikman, A. Larionov, D. Higinbotham, A. J. R. R. E. P. A. A. O. E. L. B. N. M. A. D. S. M. Schmidt Pybus Weiss Segarra Hrnjic Denniston Hen P, O. Hen, S. Adhikari, M. Amaryan, G. Angelini, G. Asryan, H. Atac, H. Avakian, C. Gayoso, L. Baashen, L. Barion, M. Bashkanov, M. Battaglieri, A. Beck, I. Bedlinskiy, F. Benmokhtar, A. Bianconi, A. Biselli, F. Bossu, S. Boiarinov, M. Brahim, W. Briscoe, W. Brooks, V. Burkert, F. Cao, D. Carman, J. Carvajal, A. Celentano, P. Chatagnon, T. Chetry, G. Ciullo, L. Clark, E. Cohen, P. Cole, M. Contalbrigo, V. Crede, R. Cruz-Torres, A. D’Angelo, N. Dashyan, R. De Vita, E. De Sanctis, M. Defurne, A. Deur, S. Diehl, C. Djalali, M. Duer, M. Dugger, R. Dupré, H. Egiyan, M. Ehrhart, A. El Alaoui, L. El Fassi, P. Eugenio, A. Filippi, T. Forest, G. Gavalian, S. Gilad, G. Gilfoyle, K. Giovanetti, F. Girod, C. Giuseppe, D. Glazier, E. Golovatch, R. Gothe, K. Griffioen, L. Guo, K. Hafidi, H. Hakobyan, C. Hanretty, N. Harrison, M. Hattawy, F. Hauenstein, T. Hayward, K. Hicks, P. H. Hopchev, Y. Ilieva, I. Illari, D. Ireland, B. S. Ishkanov, E. Isupov, D. Jenkins, H. Jo, K. Joo, D. Keller, M. Khachatryan, A. Khanal, M. Khandaker, C. W. Kim, W. Kim, F. Klein, I. Korover, V. Kubarovsky, L. Lanza, M. Leali, P. Lenisa, I. MacGregor, D. Marchand, N. Markov, L. Marsicano, V. Mascagna, S. Beck, B. McKinnon, M. Mirazita, V. Mokeev, C. Camacho, B. Mustafa, P. Nadel-Turonski, S. Nanda, S. Niccolai, G. Niculescu, M. Osipenko, A. Ostrovidov, M. Paolone, L. Pappalardo, R. Paremuzyan, K. Park, E. Pasyuk, M. Patsyuk, W. Phelps, O. Pogorelko, J. Price, Y. Prok, D. Protopopescu, M. Ripani, D. Riser, Alessandro Rizzo, G. Rosner, P. Rossi, F. Sabatié, C. Salgado, B. Schmookler, R. Schumacher, Y. Sharabian, U. Shrestha, I. Skorodumina, D. Sokhan, O. Soto, N. Sparveris, S. Stepanyan, I. Strakovsky, S. Strauch, J. Tan, N. Tyler, M. Ungaro, L. Venturelli, H. Voskanyan, E. Voutier, R. Wang, D. Watts, X. Wei, M. Wood, N. Zachariou, J. Zhang, Z. Zhao, X. Zheng. Probing the core of the strong nuclear interaction. 2020. https://doi.org/10.1038/s41586-020-2021-6
Quantum chromodynamics equations cannot be solved directly, requiring simplified models and numerical approximations rather than a closed-form equation.
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S. Aoki, S. Aoki, T. Hatsuda, N. Ishii. The nuclear force from Monte Carlo simulations of lattice quantum chromodynamics. 2008. https://doi.org/10.1088/1749-4699/1/1/015009
Monte Carlo simulations of lattice quantum chromodynamics are utilized to derive numerical approximations of the nuclear force rather than an exact analytical closed-form solution.
G. Aarts, Kenji Fukushima, T. Hatsuda, A. Ipp, Shuzhe Shi, Lingxiao Wang, Kai Zhou. Physics-driven learning for inverse problems in quantum chromodynamics. 2025. https://doi.org/10.1038/s42254-024-00798-x
Physics-driven learning and numerical methods are required to extract hadron forces and solve inverse problems in quantum chromodynamics due to the lack of straightforward analytical formulations.
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