Effects of a scalar scaling field on quantum mechanics
Abstract
This paper describes the effects of a complex scalar scaling field on quantum mechanics. The field origin is an extension of the gauge freedom for basis choice in gauge theories to the underlying scalar field. The extension is based on the idea that the value of a number at one space time point does not determine the value at another point. This, combined with the description of mathematical systems as structures of different types, results in the presence of separate number fields and vector spaces as structures, at different space time locations. Complex number structures and vector spaces at each location are scaled by a complex space time dependent scaling factor. The effect of this scaling factor on several physical and geometric quantities has been described in other work. Here the emphasis is on quantum mechanics of one and two particles, their states and properties. Multiparticle states are also briefly described. The effect shows as a complex, nonunitary, scalar field connection on a fiber bundle description of nonrelativistic quantum mechanics. Here, the lack of physical evidence for the presence of this field so far means that the coupling constant of this field to fermions is very small. It also meansmore »
 Authors:

 Argonne National Lab. (ANL), Argonne, IL (United States)
 Publication Date:
 Research Org.:
 Argonne National Lab. (ANL), Argonne, IL (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), Nuclear Physics (NP) (SC26)
 OSTI Identifier:
 1333154
 Grant/Contract Number:
 AC0206CH11357
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Quantum Information Processing
 Additional Journal Information:
 Journal Volume: 15; Journal Issue: 7; Journal ID: ISSN 15700755
 Publisher:
 Springer
 Country of Publication:
 United States
 Language:
 English
 Subject:
 97 MATHEMATICS AND COMPUTING; entangled quantum states; fiber bundles; mathematical structures; scalar scaling fields
Citation Formats
Benioff, Paul. Effects of a scalar scaling field on quantum mechanics. United States: N. p., 2016.
Web. doi:10.1007/s1112801613121.
Benioff, Paul. Effects of a scalar scaling field on quantum mechanics. United States. doi:10.1007/s1112801613121.
Benioff, Paul. Mon .
"Effects of a scalar scaling field on quantum mechanics". United States. doi:10.1007/s1112801613121. https://www.osti.gov/servlets/purl/1333154.
@article{osti_1333154,
title = {Effects of a scalar scaling field on quantum mechanics},
author = {Benioff, Paul},
abstractNote = {This paper describes the effects of a complex scalar scaling field on quantum mechanics. The field origin is an extension of the gauge freedom for basis choice in gauge theories to the underlying scalar field. The extension is based on the idea that the value of a number at one space time point does not determine the value at another point. This, combined with the description of mathematical systems as structures of different types, results in the presence of separate number fields and vector spaces as structures, at different space time locations. Complex number structures and vector spaces at each location are scaled by a complex space time dependent scaling factor. The effect of this scaling factor on several physical and geometric quantities has been described in other work. Here the emphasis is on quantum mechanics of one and two particles, their states and properties. Multiparticle states are also briefly described. The effect shows as a complex, nonunitary, scalar field connection on a fiber bundle description of nonrelativistic quantum mechanics. Here, the lack of physical evidence for the presence of this field so far means that the coupling constant of this field to fermions is very small. It also means that the gradient of the field must be very small in a local region of cosmological space and time. Outside this region, there are no restrictions on the field gradient.},
doi = {10.1007/s1112801613121},
journal = {Quantum Information Processing},
number = 7,
volume = 15,
place = {United States},
year = {2016},
month = {4}
}