Abstract

The observed accelerating universe indicates the presence of Dark Energy which is probably interpreted in terms of an extremely light gravitational scalar field. We suggest a way to probe this scalar field which contributes to optical light-by-light scattering through the resonance in the quasi-parallel collision geometry. As we find, the frequency-shifted photons with the specifically chosen polarization state can be a distinct signature of the scalar-field-exchange process in spite of the extremely narrow width due to the gravitationally weak coupling to photons. Main emphasis will be placed in formulating a prototype theoretical approach, then showing how the weak signals from the gravitational coupling are enhanced by other non-gravitational effects at work in laser experiments.

Highlights

  • The discovery of the accelerating universe1) left today’s version of the cosmological constant problem, mainly consisting of a pair of questions; the fine-tuning problem and the coincidence problem

  • Unlike in any other approaches, we derive the scenario of a decaying cosmological constant in the Einstein frame corresponding to the observation;[1] Λobs ∼ t−2, where the present age of the universe t0 = 1.37 × 1010y is re-expressed as ∼ 1060 in the reduced Planckian units with c = = MP(= (8πG)−1/2 ∼ 1027eV) = 1

  • We start with summarizing what we have found so far, by substituting (3.11) into (2.5) yielding the averaged cross section dσ dΩ3 s

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Summary

§1. Introduction

The discovery of the accelerating universe1) left today’s version of the cosmological constant problem, mainly consisting of a pair of questions; the fine-tuning problem and the coincidence problem. We move on to discuss V2 at the second vertex, in which the outgoing photons are emitted with the momenta p3 and p4 most likely quite different from the initial ones, providing us with what we called a unique observational signature as was emphasized in sections 2 and 4 In this sense, the final photons are created spontaneously from the vacuum, no enhancement, without the sea of photons provided by the coherent state. We wonder if we are allowed to revise the spontaneous nature at the second vertex in which both of the final photons were supposed to be created from the vacuum.[15] We find the desired induced nature realized if we introduce another laser beam again as a coherent state, with its momentum fine-tuned to p4, which we may keep fixed within a range in such a way to maintain the nearly-doubled frequency ω3 in the forward direction, due to the energy-momentum conservation laws. In spite of all such unimportant contributions, we have demonstrated that adding the inducing beam as prescribed above does yield the frequency-upshifted photon, as was predicted without the inducing beam before, re-emerging with the rate enhanced to the level of physical detectability

§6. Conclusion
Dθ θr 2ω12

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