Quantum Spacetime: Echoes of basho

TL;DR

The paper explores how Nishida Kitaro's concept of basho can provide insights into understanding points in quantum spacetime and noncommutative geometry, prompting a rethink of geometric primitives in quantum gravity.

Contribution

It introduces a novel perspective linking basho to quantum spacetime, offering a new conceptual framework for primitive geometric notions in quantum gravity.

Findings

Basho offers insights into the nature of points in quantum gravity.

The local view of points in noncommutative geometry resembles basho.

This perspective encourages rethinking classical geometric concepts in quantum contexts.

Abstract

I will discuss how the concept of basho, introduced by Nishida Kitaro nearly a century ago, can give an interesting insight to understand the concept of a point in modern quantum gravity. A quantum spacetime, necessary for the quantization of gravity, requires a whole rethinking of geometry, starting from the primitive concepts, like that of a point. I argue that the local vision of what becomes of classical points in quantum gravity, and in particular in noncommutative geometry, shows several similarities with Nishida's basho.