Foundations of Stochastic Quantization

Definitions and mathematical statement

Recoverable source question. "What is stochastic quantisation?"

The supplied record provides no mathematical definitions, hypotheses, domains, boundary conditions, quantifiers, or proposed conclusion that would determine a precise mathematical problem. Although the extracted statement says that a report passage is retained verbatim as context, no such passage is included in the supplied record.

The supplied statement-verification note identifies this question as the title of an expository contribution comparing established constructions of stochastic quantisation, rather than a standalone open problem. It marks the statement as unrecoverable and promotes no separate clean statement. Consequently, no precise conjecture or construction problem can be formulated from this evidence without introducing unsupported choices. The registry label open is retained as supplied metadata; it does not establish that the displayed question expresses an unresolved mathematical proposition.

Short English statement

The record asks what stochastic quantisation is, but supplies neither the referenced explanatory passage nor a precise mathematical target. Its own verification note identifies the question as an expository title. A mathematical problem statement therefore remains unrecoverable from the supplied evidence.

Sources

• Local UnsolvedMath registry, permanent ID 30005137, source code catalogue entry, title Foundations of Stochastic Quantization, collection Oberwolfach Reports Open Problems. No individual proposer is supplied; the proposed year is recorded as 2022.
• Supplied report citation: Deterministic Dynamics and Randomness in PDE (2023), Oberwolfach Reports, pp. 1431--1499, DOI 10.4171/owr/2022/26. https://doi.org/10.4171/owr/2022/26. The record describes these reports as documenting mathematical workshops and their open-problem discussions, but supplies no passage or precise location establishing a standalone problem here.
• Supplied literature reference: "Namiki, stochastic quantisation." https://doi.org/10.1143/PTPS.111.1. No fuller bibliographic details or relevant passage are supplied.
• Supplied dated literature curation, checked exactly 2026-08-22: status open. Its assessment describes this as a broad definitional question rather than a precise falsifiable conjecture, states that stochastic quantisation has established constructions, and finds no unique proposition whose completion would justify a solved label. It lists the Namiki reference and Oberwolfach report above as sources checked. This assessment is supplied dated curation derived from the OWR record, not independently verified here; its time-sensitive status and cited claims require independent verification.