4 citations · 17 across the 6 of their papers we have counts for
6 papers
Do Simple Infinitesimal Parts Solve Zeno's Paradox of Measure?
Lu Chen
I develop a new view of the structure of space--called infinitesimal atomism--as a reply to Zeno's paradox of measure. According to this view, space is composed of ultimate parts w…
Smooth Infinitesimals in the Metaphysical Foundation of Spacetime Theories
Lu Chen
I propose a theory of space with infinitesimal regions called \textit{smooth infinitesimal geometry} (SIG) based on certain algebraic objects (i.e., rings), which regiments a mode…
Why the Weyl Tile Argument is Wrong
Lu Chen
Weyl famously argued that if space were discrete, then Euclidean geometry could not hold even approximately. Since then, many philosophers have responded to this argument by advanc…
Intrinsic Local Distances: A Mixed Solution to Weyl's Tile Argument
Lu Chen
Weyl's tile argument purports to show that there are no natural distance functions in atomistic space that approximate Euclidean geometry. I advance a response to this argument tha…
Molecular chaos in dense active systems
Lu Chen, Kyle J. Welch, Premkumar Leishangthem +7
The hypothesis of molecular chaos plays the central role in kinetic theory, which provides a closure leading to the Boltzmann equation for quantitative description of classic fluid…
Dynamic path dependence of phase behaviors in dense active system
Lu Chen, Bokai Zhang, Z. C. Tu
There are rich emergent phase behaviors in non-equilibrium active systems. Flocking and clustering are two representative dynamic phases. The relationship between these two phases…