"There was a long history of speculation that in quantum gravity, unlike Einstein's classical theory, it might be possible for the topology of spacetime to change"
About this Quote
Witten is slipping a radical idea into a sentence that sounds almost like housekeeping: maybe spacetime doesn’t just curve, it can rewire itself. The quiet phrasing matters. “Long history of speculation” signals both pedigree and caution; he’s acknowledging that this isn’t a crank novelty, but also that it lives in the liminal zone between rigorous theorem and physicists’ hunches. That’s classic Witten: high-stakes conceptual dynamite delivered with the tone of a seminar note.
The contrast with “Einstein’s classical theory” is doing heavy lifting. In general relativity, topology is usually treated as fixed background architecture; you can bend the building, but you don’t punch new doors between rooms without something breaking. By invoking quantum gravity, Witten points toward a regime where the rules of “continuity” soften: path integrals that sum over geometries, wormhole-like configurations, and the possibility that spacetime admits processes analogous to phase transitions. The subtext is that quantum mechanics doesn’t merely add uncertainty to Einstein; it threatens to change what counts as a permissible history of the universe.
Contextually, this is a nod to a decades-long program in which topology became not a decorative mathematical language but an active player in physics: instantons, topological field theory, string theory’s smoothing of singularities, and the broader hope that quantum gravity requires new mathematical categories. The intent isn’t to sensationalize “spacetime can change shape,” but to legitimate it as a serious research question: if topology can fluctuate, then “before” and “after” might not even share the same notion of connectedness. That’s not a tweak to Einstein; it’s a renegotiation of what reality is allowed to be.
The contrast with “Einstein’s classical theory” is doing heavy lifting. In general relativity, topology is usually treated as fixed background architecture; you can bend the building, but you don’t punch new doors between rooms without something breaking. By invoking quantum gravity, Witten points toward a regime where the rules of “continuity” soften: path integrals that sum over geometries, wormhole-like configurations, and the possibility that spacetime admits processes analogous to phase transitions. The subtext is that quantum mechanics doesn’t merely add uncertainty to Einstein; it threatens to change what counts as a permissible history of the universe.
Contextually, this is a nod to a decades-long program in which topology became not a decorative mathematical language but an active player in physics: instantons, topological field theory, string theory’s smoothing of singularities, and the broader hope that quantum gravity requires new mathematical categories. The intent isn’t to sensationalize “spacetime can change shape,” but to legitimate it as a serious research question: if topology can fluctuate, then “before” and “after” might not even share the same notion of connectedness. That’s not a tweak to Einstein; it’s a renegotiation of what reality is allowed to be.
Quote Details
| Topic | Science |
|---|---|
| Source | Help us find the source |
More Quotes by Edward
Add to List



