The kernel and the injectivity of the EPRL map
Wojciech Kaminski, Marcin Kisielowski, Jerzy Lewandowski
TL;DR
This paper proves the injectivity of the EPRL map for the case where the Barbero-Immirzi parameter's absolute value is less than one, addressing a previously unresolved issue.
Contribution
It establishes the injectivity of the EPRL map for ||<1, completing the proof missing in earlier work.
Findings
Proves injectivity of the EPRL map for ||<1
Fills a gap in previous research on the EPRL map
Provides a rigorous mathematical foundation for the EPRL map in this parameter range
Abstract
In this paper we prove injectivity of the EPRL map for |\gamma|<1, filling the gap of our previous paper.
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