Quantizing the Geometry by Declaration: DeWitt's Two Choices and Their Effect at the Singularity

In 1967 Bryce DeWitt quantized general relativity by declaration: the metric became an operator, the Hamiltonian constraint became the Wheeler–DeWitt equation, and quantum geometrodynamics existed. This paper evaluates the founding declaration at its own address, converting census attack CC-165 whole. Two of the construction's load-bearing pieces are choices the founding paper flags and cannot remove — the operator ordering and the wave functional's inner product and measure. The bench evaluates them in a declared minisuperspace model (closed Friedmann, one scale factor) under the one-parameter ordering family \Psi'' + (p/a)\Psi' - (a^2 - a^4)\Psi = 0 with the paired measure a^p\,da: the near-singularity indicial branches are s = 0 and s = 1 - p, so the second branch's finiteness at a = 0 is ordering-chosen — finite exactly when p \leq 1, logarithmically divergent at p = 1's double root, divergent as a^{-1} and a^{-2} at p = 2 and p = 3 — and normalizability under the paired measure flips at p = -1 and p = 3. The wavefunctions themselves, computed by series and cross-checked by independent integration, differ at order unity between orderings. One declaration, two named choices, zero derivations of either in 1967 — and every quantum-cosmology number since uses both. Census headline, unchanged: NOT SOLVED / PARTIAL · producing-count 0.

Authors

Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2026-11-06
DOI
https://doi.org/10.5281/zenodo.24026878
Primary Topic
Noncommutative and Quantum Gravity Theories
Type
preprint
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
NOV
preprint

Quantizing the Geometry by Declaration: DeWitt's Two Choices and Their Effect at the Singularity

William Alexander Aldred
Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
preprint

Quantizing the Geometry by Declaration: DeWitt's Two Choices and Their Effect at the Singularity

William Alexander Aldred
preprint en

Abstract

In 1967 Bryce DeWitt quantized general relativity by declaration: the metric became an operator, the Hamiltonian constraint became the Wheeler–DeWitt equation, and quantum geometrodynamics existed. This paper evaluates the founding declaration at its own address, converting census attack CC-165 whole. Two of the construction's load-bearing pieces are choices the founding paper flags and cannot remove — the operator ordering and the wave functional's inner product and measure. The bench evaluates them in a declared minisuperspace model (closed Friedmann, one scale factor) under the one-parameter ordering family \Psi'' + (p/a)\Psi' - (a^2 - a^4)\Psi = 0 with the paired measure a^p\,da: the near-singularity indicial branches are s = 0 and s = 1 - p, so the second branch's finiteness at a = 0 is ordering-chosen — finite exactly when p \leq 1, logarithmically divergent at p = 1's double root, divergent as a^{-1} and a^{-2} at p = 2 and p = 3 — and normalizability under the paired measure flips at p = -1 and p = 3. The wavefunctions themselves, computed by series and cross-checked by independent integration, differ at order unity between orderings. One declaration, two named choices, zero derivations of either in 1967 — and every quantum-cosmology number since uses both. Census headline, unchanged: NOT SOLVED / PARTIAL · producing-count 0.

Zenodo (CERN European Organization for Nuclear Research)
Noncommutative and Quantum Gravity Theories
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

Laika access coming soon