Geometry Quote by Lee Smolin
““Before Einstein, geometry was thought to be part of the laws. Einstein revealed that the geometry of space is evolving in time, according to other, deeper laws. It is important to absorb this point completely. The geometry of space is not part of the laws of nature. There is therefore nothing in those laws that specifies what the geometry of space is. Thus, before solving the equations of Einstein's general theory of relativity, you don't have any idea what the geometry of space is. You find out only after you solve the equations.””
About This Quote
Source Lecture: General Relativity and Quantum Gravity, 2005
Einstein showed that space’s shape isn’t fixed by physical laws but emerges from deeper dynamics, so geometry must be derived, not assumed.
In simple terms: Space geometry emerges from deeper laws, not preset.
Derive geometry from equations, don’t assume it.
Themes
Mood
Type
When to use this quote
- teaching relativity
- research in quantum gravity
- philosophical discussions
- educational curricula
Key Concepts
Questions to Reflect On
- How does emergent geometry affect our view of spacetime?
- What implications does this have for quantum gravity?
Assuming a fixed geometry can mislead early intuition.