**Authors:** Guillermo A Rios

It is clear that by measuring the density profile ρ(r) of a dark matter galactic halo we are also indirectly measuring the mass of the dark matter particles (WIMPs.) So in this paper we will derive such mass value mwimp from an actual measured ρ(r) function. It is also undeniable that gravitational fields affect the form and shape of the wave functions Ψ(r,t) of quantum particles, since such wave functions must live in the space-time defined by the metric gμν consequence of the distribution of mass. In addition, in the case of dark matter, where no other interaction is assumed acting, such gravitational fields are the only potential energy present in the Hamiltonian to determine the shape of the quantum wave function Ψwimp(r,t). Therefore to determine such wave function of dark matter particles inside galactic halos we will consider a quantum equation containing in the Hamiltonian the gravitational potential energy due to the totality of the galactic matter, both baryonic and dark. At some point we will propose this, our derived quantum equation, as the sought after universal law for dark matter halos. Along this process we will pay some special attention to the fact that we will be solving a quantum equation, including boundary conditions, etc, under very unusual circumstances in terms of lengths of galactic proportions, extremely large information travel time across the whole halo quantum system, etc. Finally, taking the Milky Way as our case of study, we will solve our quantum equation to determine the mass mwimp of this elusive dark matter particle.

**Comments:** 40 Pages. Original research work

**Download:** **PDF**

[v1] 2017-02-03 10:02:14

[v2] 2017-02-12 06:04:22

[v3] 2017-02-15 10:39:48

[v4] 2017-02-27 11:35:20

[v5] 2017-02-28 18:06:43

[v6] 2017-03-19 15:54:38

[v7] 2017-03-30 14:06:58

[v8] 2017-03-31 10:21:02

[v9] 2017-04-01 11:38:16

[vA] 2017-05-14 10:16:48

[vB] 2017-05-13 17:56:54

[vC] 2017-07-03 16:24:42

[vD] 2017-07-08 17:53:49

[vE] 2017-07-10 17:00:01

[vF] 2017-07-30 11:06:07

[vG] 2017-07-31 14:25:08

**Unique-IP document downloads:** 218 times

Vixra.org is a pre-print repository rather than a journal. Articles hosted may not yet have been verified by peer-review and should be treated as preliminary. In particular, anything that appears to include financial or legal advice or proposed medical treatments should be treated with due caution. Vixra.org will not be responsible for any consequences of actions that result from any form of use of any documents on this website.

**Add your own feedback and questions here:**

*You are equally welcome to be positive or negative about any paper but please be polite. If you are being critical you must mention at least one specific error, otherwise your comment will be deleted as unhelpful. *