TY - JOUR

T1 - Geometrical unification of gravitation and electromagnetism

AU - Hojman, Sergio A.

N1 - Publisher Copyright:
© 2019, Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature.

PY - 2019/10/1

Y1 - 2019/10/1

N2 - A theory which unifies gravitation and electromagnetism (GUGE) is presented. This new theory is based on a recent redefinition of proper time. The 5-dimensional metric which arises is similar but not equivalent to the Kaluza-Klein (KK) one. Differences follow. The GUGE metric is deduced while the KK metric is postulated. In the GUGE field theory there is no need to impose either the “cylinder” or the “curling of coordinates” conditions, because they are direct consequences of the GUGE formalism. The GUGE field equations are fully equivalent to Einstein-Maxwell equations, while KK field equations are not. The GUGE 5-dimensional (geodesic) equations are equivalent to the 4-dimensional (non-geodesic) equations for a charged particle moving in the presence of gravitational and electromagnetic fields, unlike the KK 5-dimensional (geodesic) equations which are not. No extra scalar field appears in GUGE. The physical interpretation of the fifth dimension and of the role of the extra field in KK (internal coordinate in GUGE) are totally different in both approaches. Finally, GUGE results include electric charge conservation, electric charge quantization and electric charge contribution to the energy of charged particles even in the absence of electromagnetic fields, unlike the prevailing treatments of KK theories.

AB - A theory which unifies gravitation and electromagnetism (GUGE) is presented. This new theory is based on a recent redefinition of proper time. The 5-dimensional metric which arises is similar but not equivalent to the Kaluza-Klein (KK) one. Differences follow. The GUGE metric is deduced while the KK metric is postulated. In the GUGE field theory there is no need to impose either the “cylinder” or the “curling of coordinates” conditions, because they are direct consequences of the GUGE formalism. The GUGE field equations are fully equivalent to Einstein-Maxwell equations, while KK field equations are not. The GUGE 5-dimensional (geodesic) equations are equivalent to the 4-dimensional (non-geodesic) equations for a charged particle moving in the presence of gravitational and electromagnetic fields, unlike the KK 5-dimensional (geodesic) equations which are not. No extra scalar field appears in GUGE. The physical interpretation of the fifth dimension and of the role of the extra field in KK (internal coordinate in GUGE) are totally different in both approaches. Finally, GUGE results include electric charge conservation, electric charge quantization and electric charge contribution to the energy of charged particles even in the absence of electromagnetic fields, unlike the prevailing treatments of KK theories.

UR - http://www.scopus.com/inward/record.url?scp=85074067060&partnerID=8YFLogxK

U2 - 10.1140/epjp/i2019-13006-4

DO - 10.1140/epjp/i2019-13006-4

M3 - Article

AN - SCOPUS:85074067060

SN - 2190-5444

VL - 134

JO - European Physical Journal Plus

JF - European Physical Journal Plus

IS - 10

M1 - 526

ER -