The Status of Geometry and Matter in the Reinterpreted WdW Equation
This paper shows that the field defined by the Wheeler–DeWitt equation for <i>pure gravity</i> is neither a standard gravitational field nor the field representing a particular universe. The theory offers a unified description of geometry and matter, with geometry being fundamental. The...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-03-01
|
| Series: | Physical Sciences Forum |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2673-9984/7/1/37 |
| Summary: | This paper shows that the field defined by the Wheeler–DeWitt equation for <i>pure gravity</i> is neither a standard gravitational field nor the field representing a particular universe. The theory offers a unified description of geometry and matter, with geometry being fundamental. The quantum theory possesses gravitational decoherence when the signature of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><msup><mi>R</mi><mrow><mo>(</mo><mn>3</mn><mo>)</mo></mrow></msup></semantics></math></inline-formula> changes. The quantum theory resolves singularities dynamically. Application to the FLRW <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mrow><mi>κ</mi><mo>=</mo><mn>0</mn></mrow></semantics></math></inline-formula> shows the creation of local geometries during quantum evolution. The 3-metric is modified near the classical singularity in the case of the Schwarzschild geometry. |
|---|---|
| ISSN: | 2673-9984 |