[Physics] Task Force

Mon Jan 16 17:20:36 CET 2017

Discrete objects and fields that interact need a realm that fits both categories and that elucidates their interaction.

The easiest and to my opinion only way to achieve this is the application of a quaternionic separable Hilbert space and its unique non-separable companion Hilbert space. The separable Hilbert space stores all relevant discrete dynamic geometric data in the eigenspaces of some of its operators. Quaternions are ideally suited for the storage of spatial locations that feature a timestamp. The non-separable Hilbert space can store the continuum data of the relevant fields in the continuum eigenspaces of some of its operators. A subspace that represents the data of the current static status quo can act as a vane that scans this base model as a function of progression. The non-separable Hilbert space can b considered to embed the separable Hilbert space. The vane is the subspace in which this embedding occurs. Observers travel with this vane. They get their information from the past. The information reaches them via vibrations and deformations of the field(s) that embed them.

Quaternionic number systems exist in several versions that differ in the way that they are ordered. One of these versions is used for the specification of the inner product of the Hilbert spaces. The rational values of this number system are used to enumerate the members of an orthonormal base of the separable Hilbert space. A specific reference operator uses the base vectors as its eigenvectors and it uses the enumerators as its eigenvalues. The eigenspace of this reference operator represents a background parameter space. Other versions of the quaternionic number system can be used to generate other reference operators and the corresponding parameter spaces will float with respect to the background parameter space. Mostly continuous quaternionic functions that apply such a parameter space can allow the definition of a corresponding defined operator that reuses the eigenvectors of the reference operator and that uses the target values of the functions as its eigenvalues. This approach merges Hilbert space operator technology with function theory and indirectly with differential calculus. It enables to model the interaction between discrete objects and continuums

HvL

Van: Physics [mailto:physics-bounces at tuks.nl] Namens Tufail Abbas
Verzonden: maandag 16 januari 2017 15:46
Aan: General Physics and Natural Philosophy discussion list <physics at tuks.nl>
Onderwerp: Re: [Physics] Task Force

Hello Thomas,  

Full list of skills requested by Ruud's emails is as follows:

Vector Algebra, Riemann Geometry, Complex Numbers, Various derivations of Pi, Circumference of Ellipse, Zeta Function, Hilbert Spaces.

I think expected relevance of extra dimensions with gravity is well known.  Hence Vector Algebra, Riemann Geometry, Complex Numbers, Hilbert Spaces may find relevance. 

String theorists make  big deal with Zeta Function. Through quick search, I found this link:

F] <http://empslocal.ex.ac.uk/~mwatkins/zeta/nardelli2010a.pdf> Links between string theory and the Riemann's zeta function

So let's check it out to rule it out, if really it has really nothing to do with physics.

Gravity being closely related to circular motion, for me it's a reason good enough to suspect that π may find a relevance with the phenomenon of gravity. Afterall, it is still a matter of debate , whether mathematics originate from reality (physical or otherwise) or mathematics is fully a product of human imagination. I found a quick link discussing whether "Mathematics is Discovered or Invented"

http://m.huffpost.com/us/entry/3895622

If mathematics is discovered then π should be related to something which is physically existing out there. And multiple derivations, infinite series of π may offer an opportunity not to see π only as ratio of diameter to circumference, but a mathematician may describe / relate π in a manner which is relevant/useful to get to the final equations.

At the moment, possible relevance of π and perimeter of ellipse with gravity, is based upon intuition.

Regards,

Tufail Abbas

On 16 January 2017 at 15:16, Thomas Goodey <thomas at flyingkettle.com <mailto:thomas at flyingkettle.com> > wrote:

"Various derivations of Pi, Circumference of Ellipse, Zeta
Function...

What have these things got to do with physics? Derivations
of pi are pure mathematics having no physical application.
The circumference of an ellipse is a non-elementary
mathematical problem, but is fully understood. See

https://en.wikipedia.org/wiki/Ellipse#Circumference

And no mathematical thing could be further from physics
than the zeta function!

Thomas Goodey

************************************
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Dreams die in every life. But not Pham's
dream. He had pursued it across five hundred
light years and three thousand years of
objective time. It was a dream of a single
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occasional flickering light, but a steady glow
across all of Human Space. He dreamed of
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children away as hostages.

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