Human have been in regular pursuit to define the wonder of nature. The belief of existence of other dimension beond the perspective of human eye date back to centuries and have also approached them on are like Cubism and Expressionism.
The mathematical work of Riemann is also important. Though without physical concept, he developed the equatons and gave ten metric ternsors in the equation which showed that the forces ae the consequences of distortion of space and time. This concept shows how space and time can be interchanged and time is not other than fifth dimension. Einstein came to the same conclusion independently on the 20th century.
So the search existence of other dimension is also in progress. The fifth dimension for example is regarded to be such tiny that even our smallest particles cannot pass through the loop hole. Though LHC have been pursuit to locate using the high energy collision of particles such that its existence can be known indirectly. After the space –time had been unified next goal was to unif all the fundamental forces of the nature. For this even einstein got puzzled sorting out the equtations. The letter from kaluza was interesting. He added light as the vibration of other dimension and hence he wrote down the Riemann metric in five dimension. Though the existence of the five dimension couldnot be proven at the current stage. Oskar Klein deduced the size of fifth dimension to be 10-33 cm(plank length) and testing such dimension would require high amount of energy which was not practically possible. The evolution of quantum theory and gaps in the existing theory hence took a new turn in