Even a 13 Jupiter mass planet is only about 1% of the mass of KIC 8462852.
So did you read the original paper?
https://arxiv.org/pdf/1612.07332v1.pdf
The abstract:
The paper also suggests ways of testing the validity of this hypothesis. While we're waiting for the results of such observations, I believe it struggles to explain the exhibited profile of the short-term dimming events and there remains the low probability of observing star such as KIC 8462852 undergoing such behaviour.
ABSTRACT The Kepler-field star KIC 8462852, an otherwise apparently ordinary F3 main-sequence star, showed several highly unusual dimming events of variable depth and duration. Adding to the mystery was the discovery that KIC 8462852 faded by 14% from 1890 to 1989 (Schaefer 2016), as well as by another 3% over the 4 year Kepler mission (Montet & Simon 2016). Following an initial suggestion by Wright & Sigurdsson, we propose that the secular dimming behavior is the result of the inspiral of a planetary body or bodies into KIC 8462852, which took place ∼ 10−104 years ago (depending on the planet mass). Gravitational energy released as the body inspirals into the outer layers of the star caused a temporary and unobserved brightening, from which the stellar flux is now returning to the quiescent state. The transient dimming events could then be due to obscuration by planetary debris from an earlier partial disruption of the same inspiraling bodies, or due to evaporation and out-gassing from a tidally detached moon system. Alternatively, the dimming events could arise from a large number of bodies comet- or planetesimal-mass bodies placed onto high eccentricity orbits by the same mechanism (e.g. Lidov-Kozai oscillations due to the outer M-dwarf companion) responsible for driving the more massive planets into KIC 8462852. The required high occurrence rate of KIC 8462852-like systems which have undergone recent major planet inspiral event(s) is the greatest challenge to the model, placing large lower limits on the mass of planetary systems surrounding F stars and/or requiring an unlikely coincidence to catch KIC 8462852 in its current state
Notes:
1890 - first year in which the light curve of KIC 8462 decreased and was recorded
- from 1890 to 1989 the light curve of KIC decreased by .1414141414141414% each year for 99 years totaling
a 14% decrease in the light curve of KIC 8462.
The .1414% decrease in light over 99 years would remain consistent with a Super Jupiter transiting across KIC 8462 each year putting the Super Jupiter sized planet possibly within an approximately same orbital zone around KIC 8462 that Earth orbits around our Sun.
The decrease however would not increase to 14% but would remain constant at .1414% if the object causing the decrease in light of KIC 8462 was in fact a planet.
Following an initial suggestion by Wright & Sigurdsson, we propose that the secular dimming behavior is the result of the inspiral of a planetary body or bodies into KIC 8462852, which took place ∼ 10−104 years ago (depending on the planet mass).
Inspiral of a large planet 13 times the mass of Jupiter or even a large group of planets most likely would not cause a decrease in the light curve of KIC 8462 to 14% over 99 years as the inspiral would cause the debris to heat up and register in the IR spectrum. Based on the large cometary theory that was first used to explain the decrease in the light curve of KIC 8462 the IR signatures were not detected in that instance either.
Could A Black Hole Be Blocking The Light From KIC 8462 - Maybe
http://www.popsci.com/could-black-hole-be-blocking-light-from-that-alien-megastructure-star#page-2
An interstellar black hole disk? Maybe!
Although a black hole is definitely not eating up the light from Boyajian's Star, there's another way a black hole could be blocking the light. Maybe there's something big and dark in the interstellar medium between Boyajian's Star and Earth.
A disk of material orbiting a black hole is one possible explanation. (Debris disks also orbit stars and planets, but since astronomers don't see anything like that, this object would have to be dark … such as a black hole.)
For this hypothesis to work, the disk of material clotting around the black hole would have to be huge--something on the order of 600 times the distance between the Earth and the Sun--in order to block the star's light for such long periods of time, despite the star's monthly movements.
Material within the Black Hole Disk must act like glass in order to cause a continual decrease in light over 99 years of .1414% each year for 99 years. This means that the material density of the disk must have became larger over 99 years causing the decrease to reach a peak of 14% and then 20%
This section would explain the theory better.
Refractive Index
You’re probably familiar with the concept of “traveling at the speed of light”, but did you know that the speed of light can change? Light’s speed is reduced when it travels through a medium due to the interaction of photons with electrons. Typically, higher electron densities in a material result in lower velocities. This is why light travels fast in glass, faster in water, and fastest in a vacuum. The
refractive index (n) of a material is defined as the ratio of the speed of light in a vacuum to that of light in the material.
http://www.koppglass.com/blog/optical-properties-of-glass-how-light-and-glass-interact/
But when Kepler took it readings the light decreased by 3% (14% to 17%) over the four years of the Kepler mission. That is a .75% increase in the decrease on yearly basis compared to the 99 years increase of the decrease of the light curve of .1414%. The difference is .6086% which over 99 years would equal a .006147474% decrease in the light curve of KIC 8462. An object would be too small to register such a decrease in the light of the sun at .006147474%
The sudden increase in the decrease of light from KIC 8462 over four years compared to 99 years would either be the result of an extremely dense section of the disk having material similar to glass that would effect the light of KIC 8462 or a large section of plate glass meant to collect light and convert it to electrical energy.
This video explains why comets and even planetary debris infalling into KIC 8462 cannot be the reason for the decrease in the light curve of KIC 8462.