# i Don’t need “Number” – Just Space And Relations

Kind of wacky idea huh?

Maybe a little explanation is in order.

Space is fundamental something.
Space is in relativistic motionwithin itself and that motion is rotational and at all scales.
Space is flexible,malleable and has a density function tkhat is dynamicaly linked to the relativistic rotation at all scales,but the density function is discontinupus and discrete.

The discreteness of space is solely a density funcyption, andspace itselfdue to its flexibility in motion exists universally at any scale.

Thesee postulates form the basis of a fractal description of spatial attributes.the fractal description extends to a fractal field description, and the attributes are those of the fractal field..

The density function based on the motion field allows the derivation of boundaries through inequality relations, and thus the regionalisation of space.

The motion field allows through relativistc rotations and regionalisation any subjective observer within the space toderive a spatial regionalisation and an analogous periodic regionalisation again based on inequality relations.

Subjective observers partition space into what lies within their spatial region and what lies without.
What lies within their region is a fractal space which is a region of the exterior fractal space.

The interior fractal space holds within it a fractal model of the exterior fractal space.

The whole model can be described as a computational abalogy that the subjective observer produces as an innate,inherent response to the whole dynamic fractal structural model so far described, and may be subjectively described as an experiential continuum.

The experience of this subjective experiential continuum is one of continual motion relative to equilibria, that is variance relative to invariance, distinction and summetria.

The subjective observer also finds coordinated and coherent action responsive to various associated conditions alongsie uncoordinate,unresponsive incoherent actions.

The subjective observer is able to respond.

The subjective observer is able to respond fractally at all levels and scales, and the rsultant regional structure, although temporal, ephemeral and vulnerable is able to be the basis of a self organising computational fesponse to the situations based on a fractal network of connections.

The verbal, nonverbal,external and internal response of the subjective observer is the basis of all communication, in which the fundamentals, without prejudice are comparison,contrating and distinguishing.

In distinguishing the subjective observer derives a referrential system of communication and memory storage, which is necessarily relativistic.

The underlying fractal nature of the space within the region of the subjective observer informs and inheres the communication and memory referential system

The underlying subjective proceeses of comparing, contrastin and distinguishing are the fundamental computational processes that recur within the system, and reveal the recursive or iterative nsture of the subjective observers experiential continuum derivation.

The fundamental iteration of the processes requires the storage of the computational out put in order tp provide the informational basis of the experiential continuum as a model.

The computational system within the fractal region within the subjective observer has a fundamental constituency of at leadt everything found within a modern computer, and therefore a modern computing system is a limited analogy of the fractal system within the subjective observer. Other animates provide a better analogy, but require more subtlety to apprehend.

The formation of analogies is the process of apprehension, within the subjective observers computational system, and forming models is inbuilt into the fractal nature of space.

The subjective experiential continuum is a dynamic developmental modelof the observers interaction with the exterior fractal space structure, and is constantly developing.

The subjective observer has degrees of freedom within the structure and may choose certain parameters of the processes. Some choices result in an iterative loop or a tautology that stabilises the internal model or system.

No matter how detrimental it may be to the developed model and all its dependencies the subjective observer can choose the parameters of the processes, or an external event can cause the parameters to switch. The consequences of shifting parameters can be smooth or chaotic

In the exterior fractal structure, the motion field iterates the dynamics of the structure and the invariant and variant regions reveal the nature of space.

Space is perceivable by the subjective observer, but through the filters of thr internal fractal models it apprehends.

The internal models govern both input into the subjective observer system and internal and external out put.

The fractal structure of space as attributed allows fo a subjective distinction usually called order and chaos, but more usefully called convolutional stabilit and instability, or convolutional variance and invariance.

The density function of space enables physical atyributed distinctions like mass, while the motion of this mass enables conceptions of pressure and energy.

The fractal structure of the relativistic motion field has constituents which are full and partial rotations. Rotations themselves are regionalising motions, that creat closed or open boundaries respecrive to the closed or open nature of the rotation. The rotational region is conformable and deformable and compoundable as well as being divisible into full or partial rotations. The centres of these rotations are truly relativistic to the subjective observer, and it is allowed for a region to have multiple centres of rotation both within and without the region of rotation, both near and far. Thus internal relativity is important to define or confine a form, and the essential tensor nature of form is inherent within the fractal motion field.

The properties of form are defineable in terms of thesew tensor relationships both internally and exterwnally and the general properties of the rotation field are modified in additive or aggregational ways by these internal relationships.

At this stage i incline to a purely mechanical derivation of all properties of space in particular the notion of gravity and charge being consequences of the aggregational effects of fine structures within the motion field. That is pressure and charge are fundamentally a result of certain relative motion structures and periodicities within the motion field. It is hoped that the aggregation of full and partial rotations along with the deformability of the rotational regions will sufficiently account for the observed effects.

The deformability of the rotational regions also allows for a transverse and shear wave description as well as a rotational wave description of space and its properties derived from its attributes..

The computation of these outputs is an entirely subjective exercise , which requires no numerals only notation referring to the position and disposition of space, its condition and its motion relative to the subjective obwerver. Thus we may desczribe our experience of space entirely without the dead weight of traditional mathematical gobbledegook, but nevertheless we will be formally equivalent to such existing systems of necessity, as we assume we describe a common experiential continuum. This however is not necessarily the case.

In this light i turn to the now common practice of describing space using a vector notation. Since this is a derived method, based on many assumptions and previous misconceptions it is recommended with a warning: spaciometry! Pure spaciometry and comparison is what must be aimed at. Numerology or cipherism will be derived for specific applications only. What can be said of space and experiential reality can be said spaciometrically and analogically.

For this purposee i will employ the language of ausdehnnungslehre as i understand it, and euclid in a dynamic form.

Few remember that Newton wa a geometer, and that he studied differential geometry. Before he invented the calculus he invented the binomial series expansion. This was inspired by work done by an unknown on compound interest and secartes direct methods of estimating area under curves using trigonometric relations. Thus the binomial series was a complete geometrical construction,as was the dependent differential calculus. The dynamism of space was what Newton encapsulated in his method, and grassmann extended it to the whole of Euclid. Within that practice number has to be defined ad a geometric ratio called a scalar.

The monad or unit that is scaled to give a scalar is not a scalar, though it can be defined to operate as one!

When the monad is removed one is not left with nothing, one is left with shunya infinite potential. This is what brahmagupta meant by shunya. It is mystical and philosophical, but then what isn't.. From this mystical place comes the negative numbers. It is the mirror intrface.