Difference between revisions of "User talk:Infomaniac"

From Organic Design wiki
(Correlations betweeen The two domains & RST)
(site issues moved to Site issues)
 
(48 intermediate revisions by 4 users not shown)
Line 1: Line 1:
==Moved==
 
I've just moved to the Amazon in Brazil. I suffer from anemic bandwidth, so currently I am a bit handicapped.
 
  
==To Do==
+
===How to do graphs and charts in wiki===
 
+
* what extensions exist?
===multilingual wiki===
+
*http://en.wikipedia.org/wiki/Wikipedia:How_to_create_graphs_for_Wikipedia_articles
start brainstorming about best structure for multilingual wiki
+
*http://graphtheoryinlatex.blogspot.com/ & http://graphtheoryinlatex.wordpress.com/
 
 
*sisterwiki structure:  
 
**en.host.com/wiki/page <-> pt.wiki.host.com/wiki/page
 
**one-to-one correspondence among languages via subdomains
 
::- requires administrator to create subdomain
 
::+ symmetric and non-biased
 
::+ subpage organization permitted
 
::+ categories, templates, properties can be differentiated and translated
 
::- categories, templates, properties must be duplicated, making administration potentially chaotic
 
 
 
vs.
 
 
 
*subpage structure:
 
**single domain using subpages: host.com/wiki/page <-> host.com/wiki/page/pt
 
**dominated by English hub as default
 
::+ does not require administrator to create language subdomains
 
::- ugly structure with one language at top of hierarchy
 
::- subpage organization not permitted
 
::+ categories, templates, properties are unified into a single hierarchy
 
::- categories, templates, properties become complicated to render in multiple languages, require alternate renderings and additional complexity, possibly many redirects that could introduce chaos into the wiki
 
  
 
===hosting===
 
===hosting===
Line 31: Line 9:
 
* Or use Osirus?
 
* Or use Osirus?
 
* Or what is the status of Diaspora?
 
* Or what is the status of Diaspora?
 
===best practices: user page, user talk===
 
My user/talk pages are becoming disorganized and lack direction or standardization. What's the best practice for these pages? seems to me:
 
* user page (my page): what I have to say about myself and what I'm doing
 
* user talk: discussions and interactions between myself and other users.
 
 
any comments?
 
 
===2012===
 
:[[The Sovereign Individual]] book covers a lot of the foundations of the change to come, my interpretation is that this is about the days of centralisation coming to an end and the new distributed bottom-up paradigm coming about... One of the biggest breakthrough's for this new paradigm to really take off is that we need a secure p2p payment system which is an open standard. There's some notes on that at [[Currency]] and some at [[Human Ecology]] --[[User:Nad|nad]] 00:58, 7 June 2010 (UTC)
 
  
 
==observations==
 
==observations==
====dimensionality of spacetime====
+
[[Dimensionality of space:time]]
Observations that support the notion that spacetime in nature does not exceed 3 orthogonal dimensions
 
[[category:Articles containing maths]]
 
=====[http://www.lomont.org/Math/GeometricAlgebra/NFMPchapt1%20-%20Hestenes%20-%201998.pdf NFCM (New Foundations for Classical Mechanics) summary - David Hestenes] Ch. 1 =====
 
* P. 3 reciprocal identity of k-blade and k-vector only holds for <math>\mathcal{G}_n, n \leq 3</math>
 
:"The completely antisymmetrized product of k vectors <math> a_1, a_2 \ldots a_k </math> generates a new entity <math> a_1 \wedge a_2 \wedge \ldots \wedge a_k </math> called a k-blade. The integer k is called the step (or grade of the blade.* A linear combination of blades with the same step is called a k-vector. Therefore, every k-blade is a k-vector. ''The converse that every k-vector is a k-blade holds only in the geometric algebras <math>\mathcal{G}_n</math> with <math>n \leq 3</math>.''" (Italics, mine)
 
 
 
* P. 8 Special and unique properties of ''i'' in 3-space, as unit pseudoscalar, as dual, as inverse space
 
: "The properties of geometric algebra which are peculiar to the three-dimensional case are summarized in this section. They all derive from special properties of the pseudoscalar and duality in <math>\mathcal{G}_3</math>.
 
 
 
:"The unit pseudoscalar for <math>\mathcal{G}_3</math> is so important that the special symbol <math>i</math> is reserved to denote it. This symbol is particularly apt because <math>i</math> has the algebraic properties of a conventional unit imaginary. Thus, it satisfies the equations
 
 
 
:(2.1) <math>i^2 = -1 </math>
 
 
 
:and
 
 
 
:(2.2) <math>i\mathbf{a} = \mathbf{a}i  </math>
 
 
 
:for any vector <math>\mathbf{a}</math>. According to (2.2), the ''imaginary number'' <math>i</math> commutes with vectors, just like the real numbers (scalars). It follows that <math>i</math> commutes with every multivector in <math>\mathcal{G}_3</math>.
 
 
 
:The algebraic properties (2.1) and (2.2) allow us to treat <math>i</math> as if it were an imaginary scalar, but <math>i</math> has other properties deriving from the fact that it is the unit pseudoscalar. In particular, <math>i</math> relates scalars and vectors in  <math>\mathcal{G}_3</math> to bivectors and pseudoscalars by duality."
 
 
 
:...
 
 
 
:(2:4) <math>A = \alpha + \mathbf{a} + i\mathbf{b} + i\beta</math>
 
 
 
:"This shows that <math>A</math> has the formal algebraic structure of a ''complex scalar'' <math>\alpha + i\beta</math> added to a complex vector <math>\mathbf{a} + i\mathbf{b}</math>. The algebraic advantages of the "complex expanded form" (2.4) are such that we shall use the form often."
 
{{to do|task=fix maths formula numbering without using tables}}{{to do|task=fix maths formula size inconsistencies}}
 
----
 
 
 
* Bott periodicity {{to do|task=find reference}}
 
* Ardeshir Mehta on the impossibility of n>3 orthogonal directions {{to do|task=find reference}}
 
 
 
====Correlations betweeen [[The two domains]] & [[RST]]====
 
I found [[User:Jack| Jack's]] / [[User:Nad| Nad's]] article on [[The two domains]] and the [[Talk:The two domains |discussion thereof]] concerning the dichotomy of the Nodal model, as well as the notion of Fourier transform relating the space and time domains as inverses, intriguing. I see parallels to the concepts espoused in Dewey Larson's [[Reciprocal system of theory]] (RST).
 
 
 
* the nodal tree is a perfect example of a discrete space that has properties of a continuum, that is, "division" into the infinitesimal = multiplication into perpetuity.
 
* It's a fractal space.
 
* the fractions don't carry the ordinary sense of "not integer" they have some characteristics of integers but in a fractal space.
 
* Can this space be ''represented'' as three dimensional? Yes. Each tree level is a ring-shaped address space, thus it is a series of expanding rings, or a binary cone.
 
* can it be represented as a star-tetrahedral geometry? Dunno. Let me smoke something and get back to this.
 
*if a fractal space is infinite, how can the tree have a root node? Symmetry! The singularity nexus between inverse space aspects - each infinite to the other infinitesimal. And vice - versa - timespace and spacetime.
 
{{to do|task=expound}}...
 
  
====Both 3-space and 3-time exist (David Wilcock)====
+
[[Correlations between The Two Domains and RST]]
* David says 3+1 and 1+3 both exist. Note similarity:
 
RST universe of motion shows motion to have two inversely-related, but isomorphic aspects. Expressed in terms of GA, 3-space is pseudoscalar whereas 3-time is only observable from our material frame of reference as a scalar. This is because it is transformed from 3-time + 1-space domain into a virtual space (analog of imaginary space) by observations from our "physical" domain.
 
  
The transformation is via the nexus between the two domains, i.e. singularity. 1-space or 1-time is only apparently 1-D because it is transformed into scalar.
+
[[Both 3-space and 3-time exist]]

Latest revision as of 14:54, 9 December 2011

How to do graphs and charts in wiki

hosting

  • Need a place to host SMW+ - preferably in the southern hemisphere South America (aside from poor bandwidth in northern Brazil, latency to NZ is a problem).
  • Or use Osirus?
  • Or what is the status of Diaspora?

observations

Dimensionality of space:time

Correlations between The Two Domains and RST

Both 3-space and 3-time exist