The Status of Geometry and Matter in the Reinterpreted WdW Equation
Abstrak
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.
Topik & Kata Kunci
Penulis (1)
Avadhut V. Purohit
Akses Cepat
- Tahun Terbit
- 2023
- Sumber Database
- DOAJ
- DOI
- 10.3390/ECU2023-14097
- Akses
- Open Access ✓