Sandbox

Question

The Maximally Satirical Sandbox Model (MSSM)

The Maximally Satirical Sandbox Model is a model of an ideal sandbox, which can be stated as follows:- continued collaborative perturbations to the "Sandbox functional" results in \(\delta S=0\) where S is satire. This is equivalent through a simple R transformation (where R is reflection), to the Minimally Satirical Sandbox Model. The knowledge of the existence of knowledge of these two models can then be used to prove the PhysicsOverflow concavity theorem.

On the non-perturbative formulation of sock theory and the long standing missing sock problem

The Minimally Supersymmetric Sock Model (MSSM) is a supersymmetric \(\mathcal{N}=1\) matrix model that describes socks and sockinos. Socks are described as spin-2 massless particles while sockinos are described as spin 3/2 particles. Spontaneous supersymmetry breaking causes sockinos to gain mass, which explains the spontaneous disappearance of socks and their decoupling from the sockinos, besides when in a high-energy state, during which both sock disappear spontaneously and couple with their respective shoes and shoeinos (they are prevented from decoupling from their shoe because of Sock exclusion).

The Minimally Supersymmetric Sock Model exhibits S-duality with the Minimally Supersymmetric Shoe Model (MSSM). This means that a strongly-coupled sock is equivalent to a weakly-coupled shoe. This is unsurprising, because a very tight sock is the same as a very loose shoe, but the reverse is much more astonishing: a weakly-coupled sock is equivalent to a strongly-coupled shoe, i.e. a very loose sock is the same as a very tight shoe.

The Minimally Supersymmetric Sock Model also exhibits T-duality with the Minimally Supersymmetric Glove Model. This means that a very small sock is a very large glove, and vice versa.

This is an answer to the unsolved problem posted on Stack Exchange a few years ago, that was unfairly closed as being off-topic, despite the strong correlation observed by Shoesock Gloveson between the percentage of off-topic questions and the overall quality of a site.

april-fools

Comments

@ArnoldNeumaier Fixed : )

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comment on question

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comment - original revision.

If you see this comment, it means that there's a pretty annoying bug present in the autosave feature.

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original revision of the comment.

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please click again to confirm.

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,/test

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much of the text appears twice, which is boring rather than funny.

Answer 1

$$\begin{align}I= \int_0^{\infty} dv \frac{8 (v^2-1)(v^4-6 v^2+1)}{v^8+4 v^6+70v^4+4 v^2+1} \log{v} &= \frac12 \sum_{k=1}^8 \text{sgn}[\cos{(\arg{z_k})}] (\arg{z_k})^2 \\ &= \frac12 [2 (\arctan{\sqrt{\phi}})^2 + 2 (2 \pi - \arctan{\sqrt{\phi}})^2 \\ &- 2 (\pi - \arctan{\sqrt{\phi}})^2 - 2 (\pi + \arctan{\sqrt{\phi}})^2]\\ &= 2 \pi^2 -4 \pi \arctan{\sqrt{\phi}} \\ &= 4 \pi \, \text{arccot}{\sqrt{\phi}}\\\end{align}$$

\(\begin{align}I= \int_0^{\infty} dv \frac{8 (v^2-1)(v^4-6 v^2+1)}{v^8+4 v^6+70v^4+4 v^2+1} \log{v} &= \frac12 \sum_{k=1}^8 \text{sgn}[\cos{(\arg{z_k})}] (\arg{z_k})^2 \\ &= \frac12 [2 (\arctan{\sqrt{\phi}})^2 + 2 (2 \pi - \arctan{\sqrt{\phi}})^2 \\ &- 2 (\pi - \arctan{\sqrt{\phi}})^2 - 2 (\pi + \arctan{\sqrt{\phi}})^2]\\ &= 2 \pi^2 -4 \pi \arctan{\sqrt{\phi}} \\ &= 4 \pi \, \text{arccot}{\sqrt{\phi}}\\\end{align} \)

Comments

who's the joker upvoting these "answers"?

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Hi physicsnewbie, I seriously like the look of these equations and it might well be that I steel them as a template some time in the future ... :-). Cheers

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@dilaton oh lol :) They're not mine, I took them off mathstack exchange, because I wanted to test if align* worked under the Latex editor - and it does!

Answer 2

Some tests on automatic link detection

With and without punctuation:
http://example.org/10
see http://example.org/11
or these both: http://example.org/12, http://example.org/13.

Testing parentheses:
(http://example.org/14)
http://example.org/15)
(http://example.org/16
(for example http://example.org/17)
http://example.org/blah_blah_(wikipedia)
http://example.org/blah_blah_(wikipedia)_(again)
(http://example.org/blah_blah_(wikipedia))
(http://example.org/blah_blah_(wikipedia)_(again))

Other tests:

http://example.org/questions/main?sort=answers
https://www.example.org/wpstyle/?p=364
ftp://ftp.example.org/public

Does not yet work, use link tool of editor:
http://223.255.255.254/

Comments

(xyz http://example.org/blah_blah_(wikipedia)).

ftp://ftp.example.org/public,

(http://example.org/14),

It works fine now; thanks!

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@dimension10 test.

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@dimension10: testing

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@Test ok.

Answer 3

test\\ $a+b=c$ $$A+B=C$$

Comments

This is version 2 of my trial comment. This time I want to add it.

Answer 4

$R_{ab} - \frac{1}{2}R g_{ab} = 8\pi T_{ab}$

$$\begin{align}

-\frac{\hbar}{i}\frac{\partial \phi}{\partial t} &= -\frac{\hbar^{2}}{2m}\nabla^{2}\phi + V\phi\\

E\phi &= H\phi

\end{align}$$

Comments

comment on answer - final revision.

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comment on answer - eventual revision.

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original revision.

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test comment.

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another test comment

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hello (this is dimension10)

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@dimension10 test

Answer 5

Please use answers only to (at least partly) ask questions. To kill, murder, or assassinate for clarification, leave a knife instead. $\phi$

      mmm     

Comments

see, this got two up votes!

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@VladimirKalitvianski A ping, as requested.

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bla.

Answer 6

testing with Firefox.

Mozilla Firefox Microsoft Firefox

Comments

@upvoters hello

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@VladimirKalitvianski self-ping

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@test tested tester test testably testing testably tested testing tests #test

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testing test/..

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another test

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@dimension10

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test test

Answer 7

\(\require{AMScd} \begin{CD} A @>a>> B\\@VVbV @VVcV\\ C @>d>> D \end{CD}\)

Comments

$\require{AMScd} \begin{CD} A @>a>> B\\@VVbV @VVcV\\ C @>d>> D \end{CD}$

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@JiaYiyang Could it be you copied it from "View / TeX commands" but forgot to change the element type?  

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I don't know that an "element type" is. All I can say is copying and pasting it into SE text editors doesn't trigger any problem. If this is too hard to diagnose, I guess I'll just be more careful and check in "source" mode next time. Thanks.

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@JiaYiyang Oh, no I just meant "pre" and "p" by element type. SE's editor is basically a source editor (but takes markdown input unlike our source editor which only takes html input) so everything gets copy-pasted as plain text. There are three ways to avoid this problem:

1. Paste in source mode.
2. If you're using firefox 29.0+, you can install the add-on "Copy plain text" which allows you to ctrl+shift+C to get plain text copied.
3. Paste it normally, but after pasting, select the pasted content and just change the value of the Levels menu from Pre-formatted text to Paragraph.

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ok, thanks for the hints.

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@JiaYiyang Double dollar works for me; see above. 

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$$\require{AMScd} \begin{CD} T^2@>{f}>> M\\ @V{q}VV@VV{?} V\\ T^2/S^1\vee S^1@>{f'}>>M \end{CD}$$

$$\require{AMScd} \begin{CD} T^2@>{f}>> M\\ @V{q}VV@VV{?} V\\ T^2/S^1\vee S^1@>{f'}>>M \end{CD}$$

Answer 8

Heading Title

Heading Title

Heading Title

Heading Title

Heading Title

Heading Title 

Closed String spectrum

Sector	Spectrum	Massless Fields
RR	\(\mathbf{8}_s\times\mathbf{8}_s\)	\(C_0, C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8\)
RNS	\(\mathbf{8}_s\times\mathbf{8}_v\)	\(\Psi^\mu,\lambda'\)
NSR	\(\mathbf{8}_v\times\mathbf{8}_s\)	\(\Psi' ^\mu,\lambda \)
NSNS	\(\mathbf{8}_v\times\mathbf{8}_v\)	\(g_{\mu\nu}, F_{\mu\nu}, \Phi \)

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Closed String spectrum

Sector	Spectrum	Massless Fields
RR	\(\mathbf{8}_s\times\mathbf{8}_s\)	\(C_0, C_1, C_2, C_3, C_4, C_5, C_6, C_7, C_8\)
RNS	\(\mathbf{8}_s\times\mathbf{8}_v\)	\(\Psi^\mu,\lambda'\)
NSR	\(\mathbf{8}_v\times\mathbf{8}_s\)	\(\Psi' ^\mu,\lambda \)
NSNS	\(\mathbf{8}_v\times\mathbf{8}_v\)	\(g_{\mu\nu}, F_{\mu\nu}, \Phi \)

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Answer 9

Rotating moderatorship:

Comments

Hehe : )

Answer 10

testing green triangles

Comments

once more

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Strange, I did receive all the green notifications and the new entries on the events page with the green triangle corresponding to the 3 comments above correctly.

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@Dilaton: probably administrators were privileged!

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Hm, I am not logged in as administrator (Dilaton.admin).

With respect to my own comments here, the new features work correctly too for me. What the heck ...?
 

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Well, I get the right responses, too, but only since 15:11 Vienna time.

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one more check

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And another test