User talk:Infomaniac

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Revision as of 20:31, 1 November 2010 by Infomaniac (talk | contribs) (multilingual wiki: > Multilingual wiki)

To Do

  • SSL Certificate of organicdesign is invalid, scaring people off...
To Do: find out who is responsible for fixing this
I'm responsible for that, SSL is only intended for private users not public so paying for some corporate trust is a waste in that case. You're being redirected to SSL now because I made you a sysop a few days ago. You can add an exception so it doesn't keep raising warnings. --nad 13:05, 17 September 2010 (NZST)
It doesn't really bother me at all, but some of my friends go to the site; they don't even have accounts. Perhaps i'm copying to them the url with the https: instead of http: - that must be it. Additionally, FYI for me at least, neither Firefox or Chrome want to remember the exception I keep adding.
I'll pay for a cert once my cashflo's built up a bit, I'm only just keeping head above water this year so I've been putting it off... --nad 10:31, 18 September 2010 (NZST)

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?

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 --nad 00:58, 7 June 2010 (UTC)

No worries about the breadcrumbs - it was Aran that fixed them upon my prodding - I just pointed out to him that your 2012 - Fact Or Fiction? article structure would benefit from having breadcrumbs, it was like you created that structure with breadcrumbs in mind. I had also previously wondered about why breadcrumbs didn't show up on another wiki of mine which I use for private notes. Aran was puzzled, since there is a setting to enable breadcrumbs wikia-wide (for all Organic Design wikis) that had failed to turn on breadcrumbs. Turns out there was a setting in mediawiki:common.css that overrode the wikia-wide setting and turned breadcrumbs off. Anyway, I am wondering what you are going for with the structure of that article. I think it would be cool to have a way to list all of an author's soundbites (or link to them) on the author's page in a way that is generated by your sub-page structure. There should be a DPL report that can achieve that. Or is that not what you're going for? In any case, thanks for really getting your hands dirty to figure out this 2012 thing. Any conclusions or certainties so far, or is it too early to tell?--Milan 18:52, 28 October 2010 (PDT)

yes, I wanted to use categories or queries to slice and dice each speaker's position. Basically i wanted to atomise each statement to compare and evaluate each on it's own merit, using the talk page for supporting or negating links. Eventually I'd like to make these links function as a rating and weighting system. This structure also appears to lend itself to a blog/tweet format.--Infomaniac 19:13, 28 October 2010 (PDT)

observations

dimensionality of spacetime

Observations that support the notion that spacetime in nature does not exceed 3 orthogonal dimensions

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: fix maths formula numbering without using tables''To Do: fix maths formula size inconsistencies

What this means to me The discoveries in GA indicate that 3-space has logical properties and geometric interpretations that:

  • seem to place special emphasis on the validity of 3-space as more 'natural' than higher n-spaces, since special identities in 3-space do not hold in higher spaces.
  • the special geometric interpretation and operational function of the imaginary unit [math]i[/math] is reminiscent of its function in quaternion rotations. the analogy in GA is that it transforms vector objects, scalars, and pseudoscalars (spaces) into their duality complement. but this rotation is not in a hyperspace, but rather in an involute space (or inverse space). this says something about the nature of involute spaces - the transformation of a 3-space into an (apparent) scalar and the inverse transformation. this is analogous to the reciprocal geometry in RST.
Bott periodicity

To Do: find reference

Ardeshir Mehta
to critically examine and ... refute the logical validity of a large part of what is commonly understood to be “geometry” — especially much of what passes for non-Euclidean geometry, as well as the so-called “geometry” used in the Theory of Relativity.

Correlations betweeen The two domains & RST

I found Jack's / Nad's article on The two domains and the 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 an inverse 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.
The root is the equivalent of the undivided whole or source energy of creation, finite and infinite are concepts that exist only from the perspective of inside the created space-time and is potentially infinitely small and large, but the node-tree is what brings that space-time about and starts at 1 the unified whole. --nad 13:29, 17 September 2010 (NZST)
Also, the nodal model is actually a real-life executional model rather than a theoretical model and so exists in the finite context of a computational enviornment. --nad 13:31, 17 September 2010 (NZST)

For this reason, I'm suggesting that no model of spacetime would be complete without incorporating fracto-computational ideas such as are exposited in A New Kind of Science .

To Do: expound...

Both 3-space and 3-time exist (David Wilcock)

  • 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.

In GA, the imaginary number [math]i[/math] has an operational function of duality. - transform a pseudoscalar 3-space into a scalar virtual space and v. versa.