Pis’ma v ZhETF, vol. 105, iss. 2, pp. 62 – 63 2017 January 25 c Dark matter from dark energy in q-theory (short version) F.R.Klinkhamer+1), G.E.Volovik∗Ч1) +Institute for Theoretical Physics, Karlsruhe Institute of Technology (KIT), 76128 Karlsruhe, Germany ∗Low Temperature Laboratory, Aalto University, P.O. Box 15100, FI-00076 Aalto, Finland ЧLandau Institute for Theoretical Physics, Russian Academy of Sciences, 119334 Moscow, Russia Submitted 30 November 2016 DOI: 10.7868/S0370274X17020023 A condensed-matter-type approach to the cosmological constant problem [1] is given by q-theory [2–5]. <...> It was already noted in Ref. [3] that a rapidly-oscillating qfield could give a significant contribution to the inferred dark-matter component of our present universe. <...> Here, we expand on this dark-matter aspect of q-theory. <...> Consider the particular realization of q-theory based on a 3-form gauge field A with a corresponding 4-form field strength F ∝ q (see Refs. [2, 3] and further references therein). <...> In the 4-form realization, the mass dimension of q is 2. <...> The Lagrange density LSM in the action (1a) involves the fields of the standard model (SM) of elementary particle physics. <...> With the definition C(q) ≡ K(q) q2, the equations of motion for the 3-form gauge field can be written as a generalized Maxwell equation, which has the following solution: dǫ(q) dq − 1 2 dC(q) dq ∇α q∇αq −C(q)q = µ (2) for an integration constant µ. <...> The Einstein equation from (1a) reads Rαβ − 1 2 gαβ R = −8πGN T (q) αβ +T (SM). αβ (3) The contribution of the 3-formgauge field to the energymomentum tensor is given by 1)e-mail: frans.klinkhamer@kit.edu; volovik@ltl.tkk.fi 62 T (q) αβ = −gαβ ǫ(q)−µq + 1 2C(q)∇α q∇αq + +C(q)∇α q∇β q, (4) where the solution (2) with integration constant µ has been used to simplify the expression. <...> Observe that, for nonconstant q-fields, terms with (dC/dq) (∇q)2 and C q have been absorbed completely by the constant µ <...>