The concept of fundamental particle has been quite elusive along the history of physics. The term fundamental is commonly used as a synonymous of structureless particles. However, this assumption is clearly contradictory. For example, it is impossible to explain spin without assuming a structure for the particle. In fact, a point particle is by definition spherically symmetric, a symmetry violated by the presence of spin. This problem is usually circumvented by saying that spin is a purely quantum property, which cannot be explained by classical physics. This means to keep it as a mysterious property of nature.
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Arcos, H.I., Pereira, J.G. (2007). Space-time: Arena or Reality?. In: Petkov, V. (eds) Relativity and the Dimensionality of the World. Fundamental Theories of Physics, vol 153. Springer, Dordrecht. https://doi.org/10.1007/978-1-4020-6318-3_12
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