diff options
| -rw-r--r-- | physics/LIGO.page | 15 | ||||
| -rw-r--r-- | physics/gravitational-waves.page | 29 | ||||
| -rw-r--r-- | physics/quantum/fermigas.page | 2 | ||||
| -rw-r--r-- | physics/special-relativity.page | 17 | ||||
| -rw-r--r-- | physics/units.page | 7 |
5 files changed, 33 insertions, 37 deletions
diff --git a/physics/LIGO.page b/physics/LIGO.page index 2e86d5f..b7ba600 100644 --- a/physics/LIGO.page +++ b/physics/LIGO.page @@ -1,18 +1,12 @@ --- -format: rst -categories: physics toc: no +title: LIGO: Laser Interferometer Gravitational Observatory ... -======================================================================= -LIGO: Laser Interferometer Gravitational Observatory -======================================================================= - .. warning:: This is a rough work in progress!! Likely to be factual errors, poor grammar, etc. -.. note:: Most of this content is based on a 2002 Caltech course taught by - Kip Thorn [PH237]_ +.. note: Most of this content is based on a 2002 Caltech course taught by Kip Thorn [PH237] Noise Sources ~~~~~~~~~~~~~~~~~~~~~~ @@ -53,3 +47,8 @@ This technique requires known, theoretically derived waveforms (within phase/amplitude). There are other methods when we don't have good guesses about the waveform we are looking for... +References +---------------- + +[PH237]: **Gravitational Waves** (aka ph237), a course taught by Kip Thorne at Caltech in 2002. See http://elmer.tapir.caltech.edu/ph237/ for notes and lecture videos. + diff --git a/physics/gravitational-waves.page b/physics/gravitational-waves.page index c853e2b..4466e37 100644 --- a/physics/gravitational-waves.page +++ b/physics/gravitational-waves.page @@ -1,30 +1,24 @@ --- -format: rst -categories: physics toc: no +title: Gravitational Waves ... -======================= -Gravitational Waves -======================= - .. warning:: This is a rough work in progress!! Likely to be factual errors, poor grammar, etc. -.. note:: Most of this content is based on a 2002 Caltech course taught by - Kip Thorn [PH237]_ +.. note: Most of this content is based on a 2002 Caltech course taught by Kip Thorn [PH237] Raw Info ----------------- Rank 4 Riemann tensors, will cover different gauge. + Waves are double integrals of curvature tensor... - Gravitons as Quantum Particles --------------------------------- Invariance angles: (Spin of quantum particle) = $2 pi$ / (invariance angle) -Graviton has $\pi$ invariance angle, so it is spin 2; photons have unique $\arrow{E}$ vector, so invariance angle is $2\pi$, spin 1 +Graviton has $\pi$ invariance angle, so it is spin 2; photons have unique $\vec{E}$ vector, so invariance angle is $2\pi$, spin 1 Also describes spin by the group of Lorentz transformations which effect propagation. @@ -34,13 +28,13 @@ Waves' multipole order $\geq$ spin of quantum = 2 for graviton ((??)) Waves don't propagate like E, because mass monopoles don't oscillate like charges. -$ h \approx \frac{G}{c^2} \frac{M_0}{r} + \frac{G}{c^3} \frac{M'_1}{r} + \frac{G}{c^4} \frac{M''_2}{r} + \frac{G}{c^4} \frac{S'_1}{r} + \frac{G}{c^5} \frac{S''_1}{r}$ +$$ h \approx \frac{G}{c^2} \frac{M_0}{r} + \frac{G}{c^3} \frac{M'_1}{r} + \frac{G}{c^4} \frac{M''_2}{r} + \frac{G}{c^4} \frac{S'_1}{r} + \frac{G}{c^5} \frac{S''_1}{r} $$ -First term: mass can't oscillate, -Second term: momentum can't oscillate, -Third term: mass quadrupole moment dominates, -Fourth term: angular momentum can't oscillate, -Fifth term: current quadrupole + - First term: mass can't oscillate, + - Second term: momentum can't oscillate, + - Third term: mass quadrupole moment dominates, + - Fourth term: angular momentum can't oscillate, + - Fifth term: current quadrupole Energy ---------------- @@ -99,7 +93,7 @@ Extreme Low Frequency: 10^-16 Hz, Cosmic Microwave Background anisotropy Detectors ----------------- -$\Delta L = h L ~ \leq 4 \times 10^{-16} \text{cm}$ +$$\Delta L = h L ~ \leq 4 \times 10^{-16} \text{cm}$$ LIGO (10 Hz to 1kHz) Also GEO, VIRGO, TAMA (?), AIGO @@ -115,3 +109,4 @@ References ---------------- [PH237]: **Gravitational Waves** (aka ph237), a course taught by Kip Thorne at Caltech in 2002. See http://elmer.tapir.caltech.edu/ph237/ for notes and lecture videos. + diff --git a/physics/quantum/fermigas.page b/physics/quantum/fermigas.page index 9cdf2c6..bd24d6e 100644 --- a/physics/quantum/fermigas.page +++ b/physics/quantum/fermigas.page @@ -1,5 +1,5 @@ --- -format: rst +format: md toc: no title: Fermi Gas ... diff --git a/physics/special-relativity.page b/physics/special-relativity.page index 9d60e3c..22bc666 100644 --- a/physics/special-relativity.page +++ b/physics/special-relativity.page @@ -1,11 +1,11 @@ -Special Relativity -=========================== +--- +toc: no +title: Special Relativity +... -Warning: This is a rough work in progress!! Likely to be factual errors, - poor grammar, etc. +.. warning: This is a rough work in progress!! Likely to be factual errors, poor grammar, etc. -References: Most of this content is based on a 2002 Caltech course taught by - Kip Thorn [PH237] +.. note: Most of this content is based on a 2002 Caltech course taught by Kip Thorn [PH237] As opposed to general relativity, special relativity takes place in a *flat* Minkowski space time: a 4-space with three spatial dimensions and one time @@ -46,11 +46,12 @@ Note the negative sign in front of the time dimension. The are three types of separations: **space-like** when $(\Delta s)^2 > 0$, **null-** or **light-like** when $(\Delta s)^2 = 0$, and **time-like** when $(\Delta s)^2 < 0$. When dealing with time-like separations, ignore the -implication of an imaginary number. The difference in time $\Delta \Tau$ -is always real: ($\Delta \Tau)^2= -(\Delta s)^2$. +implication of an imaginary number. The difference in time $\Delta \mathrm{T}$ +is always real: ($\Delta \mathrm{T})^2= -(\Delta s)^2$. References ---------------- [PH237]: **Gravitational Waves** (aka ph237), a course taught by Kip Thorne at Caltech in 2002. See http://elmer.tapir.caltech.edu/ph237/ for notes and lecture videos. + diff --git a/physics/units.page b/physics/units.page index f6b0d68..f8c39fe 100644 --- a/physics/units.page +++ b/physics/units.page @@ -1,6 +1,7 @@ -Units -====================== - +--- +toc: no +title: Units +... SI Units -------------------- |