The embedding model of induced gravity with bosonic sources

Foundations of Physics 24 (11):1495-1518 (1994)

Abstract
We consider a theory in which spacetime is a 4-dimensional manifold V4 embedded in an N-dimensional space VN. The dynamics is given by a first-order action which is a straightforward generalization of the well-known Nambu-Gotto string action. Instead of the latter action we then consider an equivalent action, a generalization of the Howe-Tucker action, which is a functional of the (extrinsic) embedding variables ηa(x) and of the (intrinsic) induced metric gυv (x) on V4. In the quantized theory we can define an effective action by means of the Feynman path integral in which we functionally integrate over the embedding variables. What remains is functionally dependent solely on the induced metric. It is well known that the effective action so obtained contains the Ricci scalar R and its higher orders. But due to our special choice of a quantity, the so-called “matter” density ω(η) in VN entering the original first-order action, it turns out that the effective action contains also the source term. The latter is in general that of a p-dimensional membrane (p-brane). In particular we consider the case of bosonic point particles. Finally we discuss and clarify certain interpretational aspects of quantum mechanics from the viewpoint of our embedding model
Keywords No keywords specified (fix it)
Categories (categorize this paper)
DOI 10.1007/BF02054780
Options
Edit this record
Mark as duplicate
Export citation
Find it on Scholar
Request removal from index
Revision history

Download options

Our Archive


Upload a copy of this paper     Check publisher's policy     Papers currently archived: 46,483
Through your library

References found in this work BETA

Add more references

Citations of this work BETA

Add more citations

Similar books and articles

Quantum Gravity Induced From Unconstrained Membranes.Matej Pavšič - 1998 - Foundations of Physics 28 (9):1465-1477.
Relativistic Action at a Distance and Fields.Domingo J. Louis-Martinez - 2012 - Foundations of Physics 42 (2):215-223.
Wesson’s Induced Matter Theory with a Weylian Bulk.Mark Israelit - 2005 - Foundations of Physics 35 (10):1725-1748.
Unintentional Collective Action.Sara Rachel Chant - 2007 - Philosophical Explorations 10 (3):245 – 256.
Vertex Operators in 4D Quantum Gravity Formulated as CFT.Ken-ji Hamada - 2011 - Foundations of Physics 41 (5):863-882.

Analytics

Added to PP index
2013-11-22

Total views
60 ( #147,049 of 2,286,543 )

Recent downloads (6 months)
1 ( #862,224 of 2,286,543 )

How can I increase my downloads?

Downloads

My notes

Sign in to use this feature