it’s late and I’ve been studying math all day and just thought of this after seeing a post on how the laws on fixed points in time seem to have gone out the window on Doctor Who

Okay so I’m taking a class on Nonlinear Dynamics and chaos which sounds a lot fancier than it probably is but

Basically motion according to an equation or set of equations can be analyzed as a graph of its postion vs velocity. This is called a phase plane, and can either look like a bunch of arrows or as lines with arrows on them. If you have the phase plane you can predict the motion of an object given some initial starting point on the graph. Each point on the graph has an arrow telling you where it goes next and from the next point it’ll follow the next arrow until some path is traced out.

Anyway getting back to Doctor Who, there are points in these graphs called fixed points. Fix points can be stable or unstable. And for certain equations if you vary some parameter the stability or the existence of these fixed points can change.

So let’s think of time as one of these phase planes. You’ve got a fixed point in time which guarantees the stability of the time around it. Then we have a parameter, let’s call it M. If M is altered past a certain point, there is a bifurcation, a change in the topology of the graph - the fixed point could either change stability, disturbing time, or it could disappear entirely - removing the necessity of the fixed point.

I suppose if we were to apply it to Journey to the Center of the TARDIS, at first it was a weakly stable point in time, then shenanigans happened and the TARDIS started leaking time, so things became very unstable, and the parameter was the Doctor, who then altered time enough to removing the fixed point entirely - hence no memories.

So there are key, fixed points in time but as we’ve seen with the Doctor, these can change or disappear. Also I doubt time would follow the simplified 2 dimensional phase plane and it’s more likely to have the chaotic features of an n dimensional problem. But the principles should still be there.

gallifrey-feels:

rowling-in-the-deep:

no but guys the doctor had to have been the one who wrote this book

he was the only one to survive the war

oh

(Source: rowling-in-the-deep)

jumpingjacksgalore:

icedintheveins:

mitchellhp:

rt-hon-harry-koschei-saxon:

doctor who master post

for all episodes with the very first doctor, click here.

for all episodes with the second doctor, click here.

for all episodes with the third doctor, click here.

for all episodes with the fourth doctor, click here.

for all episodes with the fifth doctor, click here.

for all episodes with the sixth doctor, click here.

for all episodes with the seventh doctor, click here.

for the tv episode with the eighth doctor, click here.

for all episodes with the ninth. tenth and eleventh doctor, click here.

Yay!

i love you.

HEY ANGIE 

HEY REGAN

HEY PEOPLE WHO HAVEN’T WATCHED DOCTOR WHO

HERE YOU GO

holy shit….this is helpoing my desire to not start watching

watchtheskytonight:

thisdayandage:

Since watching ‘The Bells of Saint John’, I knew I had to make precautions that my soul does not get uploaded by the Wi-Fi.

I made this gif, so that I am under The Doctor’s protection.

With this on my blog, I am now safe.

I am a genius.

Bless your soul

hjleee:

Tea time with the Doctors.

noselikeringo:

Now he has to find the Doctor Who tablet

(Source: edmacfarlane)

profound-pond:

wisesammy:

 

dreamsaboutthatbox:

jaaaaaaaaaackfrost:

orientalfashion:

jaaaaaaaaaackfrost:

jackcicle:

jaaaaaaaaaackfrost:

rotgjackfrost:

jaaaaaaaaaackfrost:

all restaurants should have wifi

every building should have wifi

every forest should have wifi

every lake should have wifi

the moon should have wifi

why cant humans just have wifi

has science gone too far

┓┏ 凵 =╱⊿┌┬┐

oh look free wifi

i don’t know where i am

(Source: jaclcfrost)

paintdoktahwho:

cmon clara dont leave me hangin

gallifreyan-consulting-detective:

but seriously, if you made it past these points on doctor who

congratulations

and don’t ever talk about them

the-vashta-nerada:

I LIKE MOFFAT’S WRITING AND I LIKE THE ELEVENTH DOCTOR