How "correct" is our interpretation of the world with the current theories of physics? More specific I wonder how close to truth is the interpretation of the nature of light, for example physicists say light behaves as a wave and as a particle. Before I ask my question I want to give my motive and how the question was born.
This is the klein bottle, it is a two-dimensional manifold if we extend our representation of two-dimensional representation to a four-dimensional then the shape will not intersecting itself, of course we will not be able to see this.
My question: Is it possible the nature of the light to be something we can't consider or see ect because its 4-dimentional (or more) and we only can see and study its section with the 3-D world or its immersion. Meaning light to be a third thing neither a particle neither a wave, and we only see two interpretations of the same thing because we can see its true nature ?
I want to stress out I do not study physics I am a math undergraduate who also likes physics. Also, as you reading this you may wonder if it's the most stupid thing you ever read about physics, and it may be, but if you think my question has any meaning, and you want to answer it would help me understand better.