Zuristo. Ywau5e. The Source of my Ideas. Gravitation by Charles W. Misner My rating: 5 of 5 stars This is my favorite book from years now. I’ve pondered pregeometry as a basic idea ever since with or without metric as topological source of partition categories and fabric of possibilities to exist. We should build QM and GR on pregeometry of multiverse.

It’s all about measuring on manifoulds and curvature forms, purely mathematical and strongly physical. The book is highly intuitive, easy to learn and worth of reading even several times. If the book will be rewritten to morrow, it should be equipped with fourth layer of reading with modern computer animations. View all my reviews Like this: Like Loading... Existence of Points and Connections. In MM (Multiversal Model) of PP (Pregeometric and Prelogic) Worlds the model of the measurement is the key to “Structure with no Structure”. Language, Logic and Geometry or generally Relations has something in common in this model. In MM the existence is of special interest. What really exists and in which way this is to be? It is evident that the existence operator that will describe the totality of possibilities must have capability to measure the existence of n-viduals.

This way existence is a special measure in PP-world. It’s like a skeleton of the MM-model. E^ = E + EE + EEE + … + E^n. This operator can be restricted to certain Universe by Propositions (Projection) E^|U = E|U + … + E^n|U. In MM model the existence (E^) is content dependable that is it depends on the Universe and the points and connections in the Universe. Here we respect the probability theories. You should not worry about the “math” here. The Point can be in any Universe. This is the First Principle of PP-worlds. Pregeometry with Types. I have read Colin B. Hunters interesting paper where Quternionic Hopf Surface HL assosiated with Holomorfic Moduli ML of SL(2,C) bundels is uniting model of classical and quantum field theory with ML differential geometry and algebraic geometry.

Lot of physics may be modellet by this ML (Meta Laquage). It is interesting to compare my humble and simple throuts on pregeometry to this modelling aprouch. I think ML can also be indroduced trough pregeometry. My simplest version had: PointsLines (connections)Individuals and n-vidualsCassification {i| } (orders) and [a| ] propertiesPartitions (Subsets, Projections, etc.) Now I like to extend a bit by Forms of Selections. Sceleton is the set of Brancing points. Lets paint the geometry and topology on pregeometry. For Individuals structure index and individuals properties can be “lower and upper indexies” or pair I({i| },[a| ]). To my mind Colin B. Like this: Like Loading... Pre-Theory and Topology transformations.

After reading the article of Alfred D. Shapere, Frank Wilczek, Zhaoxi Xiong I realized that Pre-Theory can describe the same phenomena of the constrained topology transformation. On Pre-Theory Points and Connectome we must paint a Topology and divide it to two or more Topology domains (intervals in cited model). Division to boundaries can be done by Domain Walls. Constraints can be applied on boundaries (Dirichlet, Newman, etc.). Here is what I mean. Let the Points P and connectome Q be discrete or continuous. Let there be a Point P(x|x(k)=a) on the way along the path. Let’s divide Domain of the paths by the Boundary Points (surface or generally a form) into three domains D(x|x(1)< x(i)), B(x|x(1)<x|x=a<x(2)) and D(x| x(i)<x(2)). Any classified properties on the original domain can be treated on before, boundary and after boundary domains. We can even place Pedestrians to the network and model their behavior. Some more from this subject later. Number theory reprensentation painted on the Pre-Theory.

Here I present a method to model number theory of any type on Pre-Theory Points and Connectomes. After modelling there is possibility to search new type of numbers even to examine the continume problem in the model. Is there infinite numbers smaller than reals? Is there numbers greater than reals? What numbers are there? I have invented some new concept I introduce here. For any number I define the next number to it at units step apart M(+)=M+1. I introduce a new representation to the number and generalize the usual decimal representation to multidecimal representation that explicitly tell the cyclicity of presentation and can make difference between type of number.

To introduce the general representation of the number I need a polynomial or array that tell the cyclic part of the number and make for instance cycle of cycles possible. Cyclicity polynomial is polynomial P(n)= a(n)P(n) (sum over n). The next number is To visualize see the vertical lines N, Z, R, E as “number lines”. Adjacency of Points, Way, Path and Connectomes. Adjacency can be painted on connectome by A=A(AQA). Here the shorthand notation uses A in different meaning {aQa| a in Q} are lines to and from Q and A is the connectome matrix of Adjacent Points.

Special case is {a(i)Qa(i+N)| a(i) is opposite to a(i+N)} this type of entity has name Pedestrian. It is a Point in connectome and it may sit on some path. Number of pedestrians on network is pedestrian number. Loop around the (central) point is a loop that has distance more than 1 step in every way along the loop from the central point. A Loop may be replaced by Pedestrian. Connetome structure may have Loop and we can define Loop Connectome adjacency by L=L(LQL)=A(AP(L)QP(L)A). Now we can generalize the connectome to Pedestrian Point Network. Connectome is PQP=PCQCP where C=PLP or LPL or PL or LP or L|L or P|P. In principle Q(P,L)=PLP+LPL+LP+PL+PP+LL+L+P. Connectome can be labelled with Octonions or duble Quaternions. This structure can be extented to Many Wolds Models MWM. Like this: Theory of completelly everything | Just another WordPress.com site. Some Models from Pre-Theory 4 Hypercomputing Brains Model. I realized that Network N may have substructures for Information transport, Transport control, Transport operation and Operation design.

I call these structures Layers. A simple model for this layering is again easy to describe in the Pre-Theory. I need only two categories of Points or two type of Lines. Points are what I have spoken abaut. Dots are srincable Points that has functional relation that they connect two or more lines. A dot may be on a line (midle point) or on a meating point of several lines. Now the N|T is the transport layer, N|R is the regulatory layer, N|O is the oberational layer, N|D is a design layer, N|M is the mind layer (designer) and N|B is the rest of the Brains and body. In complete picture a layer can have many Paths, but this is easily generalized by adding points. Now the substructures R,O,D,M are connected by line from upper layer to lover layer or vise versa from a Point to a Dot on a path of lower layer. Now the model. Like this: Like Loading...

Some Models from Pre-Theory 3 Hypermanifolds. In the last article I tried to model Manifold M=M(M,g). Now I model manifold with multiple geometries of arbitrary signiture of the metrics in a single model. What I mean by this is g=g(i,j) is a metricdiag g(i,i) is diagonal of metricversion of signiture of g(i, i) is double signiture v=v(o,1,2,3) with sign -,-;-+;+,-;+,+ (in 4D metrics)vdiag is f(i)g(i,i)f(i) with f(i)=- or +, this has 16 components in 4D metricsHypermetric h(i,j) is a sum of metric v(i)g(i,j)v(i) with vdiag decomposition (with 4 grouped diagonal componets)H(i,j) = SUM v(i)h(i,j)v(j) is signiture variating metrics with vdiag composition to 16 separate signiture types (in 4D metrics) that is all types of metrics with vdiag summed up to a 16-vector of signiture logics a kind of truth value representation of the metrics by 16 truth functions (described by – and + signs)G(a,b|ij)=A(a)H(ij)A(b) is hypermetric with A a functor on some (Lie) algebra G=ALHLA=ALvhvLLA= ALvfgfvLA = A(a)L(a,v)L(v,f)L(f)g(i,j)L(f)L(f,v)L(v,b)A(b)

Some Models from Pre-Theory 2 Manifolds and more to model. I read R. Milsons and L. Wyllemans article about Tree Dimensional Space of Maximal Order. To demonstrate my Theory of completely everything I make a model of this text. It is easy in Pre-theory. Remember points and connections with properties.

So the text T has a mode M=T|P where P is partition of the text. To better description of the Model of the text we need some order on it. We have model M=T|P([a| a:=List of properties, a:= Think a while, we can enlarge the connectome Q of this article from the article to the whole literature and by morfic transformation to any language or even any conversation or thinking about it in principle, exactly to the whole Universe and history.

Now back to the content of P[a| and to the text of article. How can all this be painted on Pre-Theory Points P and connectome Q? Here was two examples that show that we can paint models on n-viduals. Like this: Like Loading... Some models from pretheory 1. I read article of Frank Waaldijk . I noticed that his constructive Topology is easy to see to be a model that can be painted on my Pre-Theory. My Points are Franks Dots with exception that the Point can have any property [a|P] where P is a Proposition in some Language L. The Frank properties and theory can be painted by his proposition. For instance his concept of order can be painted on index {i|<=} and property distinct on Point properties [a|a:=#| on countable set V]. Waaldijk rules and proposition are classifications on Pre points (CLASS-DOTS).

His Shrinking Que-property introduces for instance a representation of real numbers on Dots and also the natural order of them. In Pre-Theory this is actually a linear infinite line of Dots. The article is worth reading. In My Point, Path, and Way system these are generic properties on {Start,Way;Terminal} settings on connectome using path-consept. Like this: Like Loading... Points and Genes as the Model of Genetics. As we all know quartet {A,C,G,T} with 64 triplets carries the most important information of all times, The Life, saved on Chromosome Banks. The MM-model of Life starts with individuals I with properties in [a| {A,C,G,T}] and Index {i| {A,C,G,T}}. The Pregeometry for this Information starts with Points and grouping them to triplets {T|i,j,k}. Name the triplet T-64. They have property [a|T-64] as individuals (of triplet type). In DNA the triplets are connected to form Genes. Genes them selfs are connected on gene-level.

The hole process can abstractly be seen as a mapping process on MM-model. On molecular level (molecular modelling) there is grouping of points (molecules) and consecutive regrouping of points to points sets (reactions of molecules to other molecules). So this was a short introduction how to model the the Life in pregeometry. The key idea to model the Life in MM-model is that the environment of the Life can be modelled by a Point (or Points). Like this: Like Loading... Pregeometry with Topos. My idea is that with Points and Connections we can paint everything that is in any model of everything. The big picture waits to be painted.

I realized that the method to paint propeties for Points and Connections is an essential way to enrich the theory. All we need is a classification and partitioning. I try to find the most general way to do that and to satisfy all possible Toposies that are lurking around. Keep in mind Type theory and Topos theory as solutions for painting the pregeometry of Points. There is many digodomies that devide the reality. To classify Points completelly with any property we need the pair {[a| ],{i| }}. I defined the connections Q between points P as a model of the form MM := … IQI… . Points and Connections have there own Topos. My opinion is that the cohesive Topos Urs is needing can be painted on pregeometry by categorising n-viduals (n-Point databases/Sets) and there connectomes. We need some properties here for doing the painting. Dots form the Sceleton. What is fundamental? We have used the concept of point as a word to refer something else than a geometric point. The Point here is Individual (entity) with properties.

The Point is fundamental in Multiversal Measurement Model (MM-model), where connections Q and Points P are fundamental. The logic (any logic) is between properties of points (Propositions). The Propositions as properties of Individuals are also fundamental. Actually the Point is the only Primordial Fundamental. MM is the model for PP world of Points and Partitions. The structure of following syllogism is fundamental: Points have propertiesConnections have PointsConnections have properties This proposition is fundamental. The Key here is that we understand the logic (generated from the Prelogic of PP-world) and also comprehend the geometry or physics (generated from the Pregeometry of PP-world) .

MM is the only measure we have. Actions are mappings on Points and Connections that relays on roles of individuals and bundles of connections. Orthocomplete Orthomodular Posets and Induced Probability theory of Physics from Pre-Theory. I read this article of Holik,Plasino and Saenz (HPS). There method for generating probabilities for physical theories is visualized in Fig. 2 of the article. As HPS stated “We are at the gates of great generalization”. I think that I have a key to open the gate in the Pre-Theory. My opinion is that HSP method to model probabilities is equivalent to this pathway of Painting the Pre-Theory: This means that HPS should look the Pre-Theory as System (S) with Lattice (L) of Propositions (P|L) with probability model (M|P).

We can look the lattice Convex if we will. Notice the points P and there Collections (n-viduals) forms easily the Posets required for HPS model. Now the key of great generalization. The key is P|L is in the nature (atomic propositions of nature) and M|L is in observers mind. HSP model Lattice concept has interpretation in My Pre-Theory. The observation is a path on the connectome (models event in the lattice). Again everything is in Pre-Theory. Achilles problem in the Multiverse and the probability consept in the Multiverse.

The old question is did Achilles ever pass the line? I have found a new answer for this problem. The old answer was YES. The new one is NO. In fact both are true. The answer is depending of the path and rules Achilles uses. There are paths in Multiverse where Achilles never pass the line. The whole family of such ways can be defined from the following idea to travel “take a half way and turn” . Now take a mystery tour. Go to half way and turn to an other UniverseRepeat the stepping rule oneGo on The mystery is how long is the winding road, how long it takes and what is the probability that Achilles got somewhere. Did Achilles pass the line? To make a turn Achilles needs information of one bit to turn or not to turn. In general probability to pass the turning point is P(i)=p(i)*2^-I(D(i)) and the total probability of the path is P=SUM(P(i)).

This introduce a new probability concept in the Multiverse P=P(P(D(0)),…, P(D(i)), ….). I’l return to the question. Like this: Like Loading... Connectome of Energy, Mass and Momentum for Matter and Dark Matter and Energy conservation with some consecuencies for particles and antiparticles. Multiversal Measure of everything. [1109.5674] Exact Philosophy of Space-Time. Spacetime entanglement and pregeometry tells we have a new time consept. Points and Locig the Mesument Model for propositions. Points Adjacency Frames, Links Collection Bundles, Groups and Gategories in Named Set Ramsey Theory.