Space and time Quote by Lee Smolin
““Noncommutative geometry has turned up in several approaches to quantum gravity, including string theory, DSR, and loop quantum gravity. But none of these capture the depth of Conne's original conception, which he and a few mathematicians, mostly in France, continue to develop. The various versions of it that appear in other programs are based on superficial ideas, such as making the coordinates of space and time into noncommuting quantities. Conne's idea is much deeper; it is a unification at the foundations of algebra and geometry. It could only be the invention of someone who does not just exploit mathematics but thinks strategically and creatively about the structure of mathematical knowledge and its future.””
About This Quote
Source Interview: The Edge of Physics, Lee Smolin, 2020
Deep noncommutative geometry unites algebra and geometry beyond superficial applications.
In simple terms: Deep geometry unites algebra and geometry.
Key Takeaway
Explore foundational ideas.
Themes
mathematics
physics
innovation
Mood
intellectual
curious
Type
academic
inspirational
When to use this quote
- research development
- theoretical modeling
- academic curricula
Key Concepts
noncommutative geometry
foundational theory
Questions to Reflect On
- How can foundational concepts be made accessible?
- What risks arise from over‑specialization?
A Different Perspective
Complexity may hinder practical adoption.
