Dealing with quantum wierdness : holism and related issues by Andrew Richard Elby

By Andrew Richard Elby

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The m1 ≪ m ≪ mc region gives rise to 4D gravity at intermediate distances and 5D gravity at ultra large distances. For distances r ≫ m−1 1 , the zero mode gives the dominant contribution and thus we return to 4D gravity. where we have identified GN ≡ k 32πM 3 to obtain the normal four dimensional Newtonian potential. Note that since x− ≫ e2x , the 1/x− term is indeed a small correction. 70) The fact that Newtonian gravity has been tested close to the present horizon size require that for k ∼ MPl we should have x 45-50.

1 The ′′ + +′′ bigravity model The model consists of two three-branes with tensions V1 and V2 respectively, in an AdS5 space with five dimensional cosmological constant Λ < 0. e. 1). Due to orbifolding, we can restrict ourselves to the region 0 ≤ y ≤ L. Firstly, we find a suitable vacuum solution. 1) (i) ˆ µν is the induced metric on the branes. 2) In order to find a specific form of the equations of motion we need to write a metric ansatz which will take in account the spacetime symmetries of the three-brane.

For distances larger than of 28 Chapter 2: Flat brane multigravity models in five dimensions the order of the corresponding wavelength of the first KK mode, the contribution to gravity from the KK tower is suppressed and thus the zero mode gives the dominant contribution, leading to the four dimensional Newtonian potential again. In this case the strength of the gravitational interaction is a small fraction of the strength of the intermediate scale four dimensional gravity. More precisely, the contribution of the massless graviton is 1/x− suppressed and thus vanishes when x− → ∞, something that is expected since in this limit there is no nomalizable zero mode.

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