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I want to start with spacetime J = spacetime derivative F and expand to

${\displaystyle e_{o}\rho +{\mathbf {J}}=(-e_{o}\partial _{0}+{\boldsymbol {\nabla }})({\mathbf {E}}e_{0}-I{\mathbf {B}})}$

${\displaystyle =-\partial _{o}{\mathbf {E}}+I_{4}\partial _{0}{\mathbf {B}}+e_{o}{\boldsymbol {\nabla }}{\mathbf {E}}-I{\boldsymbol {\nabla }}{\mathbf {B}}}$

Then decompose into dot and cross and equate parts to give the usual Maxwell equations. Selfstudier (talk) 11:51, 8 November 2010 (UTC)

Decomposition

${\displaystyle e_{o}\rho +{\mathbf {J}}=-\partial _{0}{\mathbf {E}}+I_{4}\partial _{0}{\mathbf {B}}+e_{0}\nabla \cdot {\mathbf {E}}+I_{4}\nabla \times {\mathbf {E}}-I\nabla \cdot {\mathbf {B}}+\nabla \times {\mathbf {B}}}$ whence equating parts (timelike vectors e0, spacelike vectors ek, timelike trivectors I4e0 and spacelike trivectors I4ek) results in

${\displaystyle \nabla \cdot {\mathbf {E}}=\rho }$

${\displaystyle \nabla \times {\mathbf {B}}-\partial _{t}{\mathbf {E}}={\mathbf {J}}}$

${\displaystyle \nabla \cdot {\mathbf {B}}=0}$

${\displaystyle \nabla \times {\mathbf {E}}+\partial _{t}{\mathbf {B}}=0}$Selfstudier (talk) 14:15, 8 November 2010 (UTC)

The 3D decomposition can be done similarly but much more simply using just e1e2e3Selfstudier (talk) 14:56, 8 November 2010 (UTC)

If we start from ${\displaystyle \left({\frac {1}{c}}\partial _{t}+{\boldsymbol {\nabla }}\right)F=c\mu _{o}J,}$ we can expand to

${\displaystyle ({\dfrac {1}{c}}\partial _{t}+e_{1}\partial _{x}+e_{2}\partial _{y}+e_{3}\partial _{z})={\dfrac {\rho }{\epsilon _{o}}}-c\mu _{o}(J_{x}e_{1}+J_{y}e_{2}+J_{z}e_{3})}$

Then equate scalar,vector,bivector and i trivector terms for the usual equations.

• Aside*

Coordinate frame ${\displaystyle e_{\mu }=\partial _{x^{\mu }}x}$ reciprocal frame ${\displaystyle e^{\mu }}$ and define vector derivative ${\displaystyle \nabla =e^{\mu }\partial _{x^{\mu }}=e^{\mu }\partial _{\mu }}$

Maxwell tensor ${\displaystyle \partial _{\mu }F^{uv}=J^{v},\ \partial _{=0}$

Spacetime equivalents are ${\displaystyle \nabla \cdot F=J,\ \nabla \wedge F=0}$ but we can combine with geometric product ${\displaystyle \nabla F=J}$Selfstudier (talk) 13:45, 8 November 2010 (UTC)

CGA Table

${\displaystyle e_{+}^{2}=1}$	${\displaystyle e_{-}^{2}=-1}$	${\displaystyle n_{\infty }^{2}=0}$	${\displaystyle n_{o}^{2}=0}$
${\displaystyle n_{\infty }\wedge n_{o}=E}$	${\displaystyle n_{o}\wedge n_{\infty }=-E}$	${\displaystyle e_{+}\wedge e_{-}=E}$	${\displaystyle n_{\infty }\wedge e_{-}=E}$
${\displaystyle e_{+}e_{-}=E}$	${\displaystyle e_{-}e_{+}=-E}$	${\displaystyle n_{\infty }n_{o}=-1+E}$	${\displaystyle n_{o}n_{\infty }=-1-E}$
${\displaystyle n_{0}\bullet n_{\infty }=-1}$	${\displaystyle n_{\infty }\bullet n_{o}=-1}$	${\displaystyle n_{\infty }\bullet E=e}$	${\displaystyle E\bullet n_{\infty }=-n_{\infty }}$
${\displaystyle E\bullet n_{o}=n_{o}}$	${\displaystyle n_{o}\bullet E=-n_{o}}$	${\displaystyle E^{2}=1}$	${\displaystyle e_{+}\bullet e_{-}=0}$
${\displaystyle En_{\infty }=-n_{\infty }}$	${\displaystyle n_{\infty }E=n_{\infty }}$	${\displaystyle En_{o}=n_{o}}$	${\displaystyle n_{o}E=-n_{o}}$

${\displaystyle E=e_{+}\wedge e_{-}}$ is the Minkowski plane.

Hyperb

You can do a 2/3D version with projection to eg Poincare disc

Function "Process"

Interesting correspondence with . Note some differences with English terminology. Boute (talk) 20:28, 31 July 2012 (UTC)

File:Conformal Embedding.jpg

Hi, thanks for adding this image. It was requested that an SVG file be created, so if it's ok I did so. Is it ok to use in place of the JPG? Thanks again. Maschen (talk) 23:06, 9 September 2012 (UTC)

LinePlaneIntersect.png

Similarly for this image? (Although no explicit requests, SVG is generally preferable...) Thanks again, Maschen (talk) 21:31, 13 November 2012 (UTC)

File:LinePlaneIntersect.png missing description details

If the information is not provided, the image may eventually be proposed for deletion, a situation which is not desirable, and which can easily be avoided.

Geometric calculus

I made some rather major updates to geometric calculus based mostly on the reference you mentioned in its talk page. You may wish to have a look and correct/improve further. Teply (talk) 23:36, 21 May 2013 (UTC)

ArbCom elections are now open!

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ArbCom elections are now open!

Hi,
You appear to be eligible to vote in the current Arbitration Committee election. The Arbitration Committee is the panel of editors responsible for conducting the Misplaced Pages arbitration process. It has the authority to enact binding solutions for disputes between editors, primarily related to serious behavioural issues that the community has been unable to resolve. This includes the ability to impose site bans, topic bans, editing restrictions, and other measures needed to maintain our editing environment. The arbitration policy describes the Committee's roles and responsibilities in greater detail. If you wish to participate, you are welcome to review the candidates' statements and submit your choices on the voting page. For the Election committee, MediaWiki message delivery (talk) 14:09, 24 November 2015 (UTC)

ME IsPal

Will keep notes here re this, situation has changed quite a bit in recent years but due to compete editing and other such nonsense its virtually impossible to get a page changed except other than superficially. Result is many errors and out of date and not up to date things in the relevant pages.

Example: see perfectly simple and straightforward name change put forward by self at Palestinian territories (to Occupied Palestine territory, which is what it is called by all of the high level people including the SecGen and Sec Council) Of couse, certain interests don't like plausible conclusions that might follow from this and so put up bureaucratic resistance that I can't be bothered to deal with.

Major errors have crept in because of a failure to address consequences of recognition of State of Palestine and of UNSC 2334

UNGA 20 Jan 2016 SecGen report A/HRC/31/43 Israeli settlements in the Occupied Palestinian Territory, including East Jerusalem, and in the Occupied Syrian Golan again, the use of Territory not territories, also in many other similar high level documents but because the WP bureaucrats say that there are thousands of low level documents using territories then those count ahead, lol.

Above doc : Legal background 4. An analysis of the applicable legal framework and the basis for the obligations of Israel in the Occupied Palestinian Territory and occupied Syrian Golan can be found in previous reports of the Secretary-General (see A/69/348, paras. 4-5, and A/HRC/25/38, paras. 4-5).

and if you follow the trail again you find Territory not territories.

So it is perfectly clear what the legal intent is regardless of any customary or administrative usage might be.

Other accounts

Did you have/had any other accounts on Misplaced Pages?--Shrike (talk) 13:23, 29 May 2017 (UTC)

First of all thank you for your answer .I didn't see that you already answered this anyhow in the I/P are many users were topic banned and used WP:SOCKs to edit circumventing their ban.Shrike (talk) 13:59, 29 May 2017 (UTC)

Minor edits

Hi Please read WP:MINOR and act accordingly thanks. Shrike (talk) 11:58, 7 June 2017 (UTC)

ARBPIA noice

Please carefully read this information:

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Please read the above carefully and modify your behavior accordingly. No More Mr Nice Guy (talk) 20:19, 10 June 2017 (UTC)