The Trajectory Philosophy...Today i will try to tell u the reasonin behind the name of my hyperlink... undefined trajectory. as nyone wud guess its related to my life and my description can go a bit mathematical... so if u cant understand plz drop me a mssg... and yaa this is just wat i strted thinkin bout... so my theory is just in its infancy... ny suggestions over it are welcome :)
So... its like this... i consider my life as a trajectory in n-dimensional space. to explain what tht is... well... for a 2-d plane we hv x co-ordinate and y co-ordinate. and we can then draw a graph... similarly an n-dimensional space will have n co-ordinate axes... each independent of each other. u cannot try to imagine how it can b drawn.... as it comes under the realms of abstract algebra theory. to give u an example... the world around us (physical) is 4 dimensional. 3 being the spatial axes... and the 4th being the abstract time axis. scientists believe there's 5th dimension... but thts not the topic of discussion here.
Now, for life... u have many dimensions.. many axes. time being again one of them. it starts with our birth (t=0) and ends when we are dead. so tht defines one quadrant. the other axes which i term as 'attributes' defines us wholly. as abstract as this can get... the number of dimensions a person has as of now can be considered to be n=unknown. but to give u an idea what these attributes can mean... i will giv examples.... u can have attributes like happiness, richness, goodness, intelligence and even things like.... fitness, capacity to eat, drink, smoke... etc. so u can see the no. of dimensions can and is quite a large number for a person. the negative axes of each wud correspond to the opposite of the above stated and unstated attributes. the only non negative axis is the time axis...
After the algebraic definitions of life... lets dwelve into the question of how much we can influence it ourselves and wht the term... "life is wat u get and make out of urselves" really mean. For this we will go into a bit of control theory... to be more precise ... state space analysis. the point at which we are in time will be defined by the n-tuple (nx1 state vector) and the efforts we put in... eg.. study, read, write, say, do.... all are the inputs... and the change caused by these inputs will be our new state. the output can be somethin that can be seen by the external world as the effect of our input as its impossible to see what ur state is... after each input u give to ur state. in other words... ur state of trajectory is not observable... but what about controllability??? tht exctly will specify how much u control ur life...:)
some ppl want to be rich, some to b successful in academics.... some just dunno what to do!!... for each of them... evryone defines or sets a 'target' state for oneself. one want to reach that point in sometime.... basically they want to take the trajectory to the desired point.... with the desired point varying from person to person... theres no upper limit for any state or any particular axis... except again the time.... but then we compare our attributes with other trajectories on that particular axis.... for example.... a guy says he wants to be rich... so on the richness axis.... the largest value is possessed presently by Bill Gates... so if someone gets a bigger value then he/she wud be the richest person on Earth. so its basically all relative.... relative to other trajectories.... :)
Conjecture: Life is Relative.Now to attain that particular target state in that particular axis... a person gives effort. and tries to get to tht state. gettin to tht state is sometimes in one's hand and sometimes its not.... so.. to get rich is not in ones hand.... and to get a control on drinkin or smokin is in ones hand. Thus,
Conjecture: Life is not completely controllable.So this was the initial analysis of the trajectory theory of one's life without taking into consideration the external effects on tht trajectory. these external effects being influence of the trajectories around a trajectory. each trajectory is surrounded by many other trajectories... like our parents, relatives, friends etc... In the initial period of one's life, our trajectories are influenced solely by our parents and more or less by relatives and then later on by our friends, our boss, colleagues, children, their children etc. The following conjecture naturally follows.
Conjecture: The more the close a trajectory is to one's trajectory... the more the influence. At evry point of time each trajectory is moving to achieve its target state by constantly applying inputs to itself. so at evry input... it affects its own state and it also has a coupling effect on neighbourin trajectories which radially goes away from the trajectory and the effect dies off with growing distance.
This is just a process of defining life that i have begun with a view to simplify it... its said.... life's unfair... and life's complicated.... i hope this helps... helps in simplifying... helps in givin life some credit for wht it is :)
My 'Undefined' Trajectory: With perfectly defined trajectory and target states, i applied inputs and with it my attributes updated.... additions in some and subtractions in some of them... with these additions and subtractions and the accompanied coupling effects... my trajectory has come to a position where i no more can see where my trajectory is goin.... and with what possible inputs i can nullify tht. coz of all this... it is now undefined.... just travellin in time ... unaware of its direction....
My Regret: Not taking into account the state updation of my trajectory... it is the coupling effect of my inputs that i regret.... i nevr knew it wud b this.... and i nevr wanted it to b this... nevr!