Einstein's Formulation of Tensor Equation: Was He Lucky?

In summary, Einstein was able to "invent" a new theory of gravity that was consistent with special relativity and could explain the observed perihelion precession of mercury, making it a successful empirical theory.
  • #1
barong
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I understand that all physical laws essentially codify mathematically observed behavior. Newton codified Kepler and Brahe data, for example. Quantum Mechanics codifies observed particle behavior at relatively low speeds, etc. But Einstein had no empirical data to work from… So, I do not understand how it was possible for him to “invent” something that ended up working empirically… I know he was a genius, but was he also “simply” lucky?
 
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  • #2
Einstein was a bit lucky. He had two pieces of data. (1) Newtonian gravity was inconsistent with special relativity (Maxwell's equations and the absence of the aether), so a new theory of gravity was needed that was consistent with special relativity and that reduced to Newtonian gravity in the appropriate limit. (2) The perihelion precession of mercury appeared inconsistent with Newtonian gravity, so if the new theory of gravity could explain that, that would be a point in its favour.

At that time, (at least) two theories of gravity fulfilling (1) were known: Nordstrom's scalar theory, and Einstein's tensor theory. However, Nordstrom's theory was not consistent with the observed perihelion precession, but Einstein's was.
 

FAQ: Einstein's Formulation of Tensor Equation: Was He Lucky?

What is Einstein's formulation of tensor equation?

Einstein's formulation of tensor equation, also known as the Einstein field equations, is a set of ten equations in the theory of general relativity that describe the fundamental interactions of matter and energy in the universe.

What is the significance of Einstein's tensor equation?

Einstein's tensor equation is one of the cornerstones of modern physics, as it provides a mathematical framework for understanding the nature of space and time, and how matter and energy interact with them.

Was Einstein lucky to come up with his tensor equation?

While some may argue that Einstein's formulation of tensor equation was a stroke of luck, it was actually the result of years of hard work and dedication to understanding the complexities of the universe. His theory of general relativity was built upon previous work by other scientists, and Einstein used his genius and intuition to develop the equations.

How did Einstein's tensor equation change our understanding of the universe?

Einstein's tensor equation revolutionized our understanding of the universe by providing a unified theory of gravity, which was previously described by Newton's law of gravitation. It also predicted new phenomena, such as the bending of light by massive objects and the existence of black holes.

Are Einstein's tensor equations still relevant today?

Yes, Einstein's tensor equations are still highly relevant today and are used in many areas of physics, including cosmology, astrophysics, and gravitational wave astronomy. They have also been tested and confirmed through numerous experiments and observations, further solidifying their importance in our understanding of the universe.

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