vector analysis//sciences

Vector analsis as possible parallel to complexity
Pyramid or hierachy of matter

Is it possible to apply vector analysis to hi erachy of matter?Hierachy of matter:atomic,chemical,cellular etc is a sequence of pyramids or sequence of finite ,symmetric decision tree or binary tree.Each sequence form the basis of collection of elements or parts to form a more complex composition,which when ordered,itselves form the next sequence of pyramid..and so on.Vector analysis deals with basis or group of elements/parts forming composites,which itselves can be a basis to form a even higher level of composites..and so on.The parallelism is striking.
The variables dealt with is totally general:in its simplest form,it deals with a scalar( any nondirectional variable)and an angle,these two variables defined a vector.Generalized to any variable:it forms a vector space of n-number variables.As the variable is general,it could be any empirical observation/data.Perhaps it applies to atomic data,chemical data,electron flow data etc. It’s the pattern of sequential basis forming the next higher level basis and the next higher level basis etc that is interesting,and parallel to the empirical sequence of pyramids forming the next higher level pyramid etc of atomic particles,of chemical pyramid,of acid/base pyramid etc.
By this analogy,one can see there is possible use of vector analysis as general,abstract model of seqence of basis(vector space) to the real world of hierachy of matter.It is an excellent mnemonic device until rigorously proven.
The patter seems analogous,are the elements themselves analogous?Are the atomic particles,chemical elements,molecules,cellular elements,circuit elements etc analogous to mere general elements of numbers,math expressions?The variables dealt by vector analysis can be any number sets,sets of numbers,sets of vectors,sets of transforms etc.All of which obey rules on sets,the elements of which all has its polar forms,its opposites or polar pairSuch group of elements dealt by groups/set theory and in its vector analysis form has no limit in its applicabillity,its generalized for infinity or any number of variables.Thus one might imagine the elements as points infinte in number,but with its polar counterparts,a polar pair ro approximate the empirical polar elements of atomic particles,chemical elements etc,which occurs naturally in numerous,almost infinite in number.A simple composite like hydrogen on the scale of chemical reaction is looked upon as mere coupling of an electron/proton,its neutron is ignored as its effect is insignificant,its merely idealized or generalized like coupling of any polar pair.With the addition of protons(neutron also added,but ignored) in the nucleous and with the corresponding equal number of electrons coupled,all the chemical table is formed.These elements form the basis in the generation of all possible complex chemicals thru the coupling of surface or outermost electron shell.Whatever the nature of the nucleous,its only the surface or outermost electron shell coupling with adjacent molecules that has any bearing.In an idealized form,its merely a coupling of polar pair.>but onlyidealized treatment as varies minor variables is ignored for the ske of simplicities: minor variables as interaction of light with electron.Such idealized treatment is stamdard in physics,the most ideal of empirical sciences,where the im[prtant variables are consiodered theorectically and the empirical case approximated by adding more variables..So such treatent is quite orthodox scientifically.
On a higher level of complex composites called cells,the same process of abstraction or ignoring lesser variables to form idealized elements to fit into basis generating multicellular life seems plausible,thus making the use of vector analysis model.This approach run counter to the extremely detailed,descriptive nature of biology,generally devoid of the simplest math,least of all set theory or vector analysis.But cells can be considered mere elements of a set and can be parts or elements of a basis forming composites called multicellular life. So why not make use of this prevailing,seemingly universal model as guide or rough map?Were the elements circuit elements,the fit is exact,not rough,for any circuit element can be described by Boolean algebra and calculated by differwentaial equations exactly.