Mass superselection rule in nonrelativistic quantum mechanics - revisiting this issue aiming quantum gravity.

• Grant number: 20/04365-7
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: June 01, 2020
• End date: December 31, 2020
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: George Emanuel Avraam Matsas
• Grantee: Caroline de Lima Vargas Simões
• Host Institution: Instituto de Física Teórica (IFT). Universidade Estadual Paulista (UNESP). Campus de São Paulo. São Paulo , SP, Brazil

Abstract

In this IC project, we intend to revisit the rules of mass superselection of non-relativistic quantum mechanics. This result taken alone seems to lead to contradictions with the non-relativistic limit of relativistic quantum mechanics. Recent results suggest that non-relativistic quantum mechanics must be endowed with the information that energy has weight, E = m c ^ 2, if it is expected to correctly reproduce the low-speed results of relativistic quantum mechanics. This study is interesting by its own right as well as can be considered the first step towards an interesting current area of research that aims to gain insights into quantum gravity from very low energies physics.