| _version_ | 1866901465846513664 |
|---|---|
| author | Cramer, Claes |
| author_facet | Cramer, Claes |
| contents | <p>Given the distribution geometry arising from a sequence of homotopic and globally hyperbolic spacetimes converging, in the sense of distributions, within a renormalised Gaussian distribution algebra to a distribution geometry with singular support on the null characteristic, it is proved that, although the distributional strong and weak energy conditions hold at the singular support, there exist neighbourhoods of the singular support and globally hyperbolic spacetimes in the sequence such that, within these neighbourhoods, there are points at which neither the strong nor the weak energy condition holds. Consequently, the positive mass theorem does not hold uniformly over all geometric scales.</p> |
| format | Recurso digital |
| id | zenodo_https___doi_org_10_5281_zenodo_18203155 |
| institution | Zenodo |
| language | |
| publishDate | 2026 |
| publisher | Zenodo |
| record_format | zenodo |
| spellingShingle | Non-Uniformity of the Positive Mass Theorem in a Gaussian Model Delta Net Cramer, Claes <p>Given the distribution geometry arising from a sequence of homotopic and globally hyperbolic spacetimes converging, in the sense of distributions, within a renormalised Gaussian distribution algebra to a distribution geometry with singular support on the null characteristic, it is proved that, although the distributional strong and weak energy conditions hold at the singular support, there exist neighbourhoods of the singular support and globally hyperbolic spacetimes in the sequence such that, within these neighbourhoods, there are points at which neither the strong nor the weak energy condition holds. Consequently, the positive mass theorem does not hold uniformly over all geometric scales.</p> |
| title | Non-Uniformity of the Positive Mass Theorem in a Gaussian Model Delta Net |
| url | https://doi.org/10.5281/zenodo.18203155 |