it is the question which has baffled me since i took vector analysis. later somewhere i read that r.p.feynman too tried to dwell in it.i have post this thread in physics forum a year before and there were many replies. but notwith that mathematical presicion.enpug h of background, now my question is- is time a vector , or more specifically a tensor? a bit of mathematical descriptionmigh t be fruitful- a vector is also a tensor, when i say time is a tensor i meant a tensor of rank more than or equalto rank one. a vector is tensor of rank one. and a scaler isof rank zero. as we need three set of independent scalers to define a vector in ordinary geometry(or four-in space time or minkowskien geometry), we need3*3 or nine independent scalers to define a tensor of rank two completely(or we need 3 tensors of rank one(vector) to define a tensor of rank two). lets first discuss aspect of this question pertinent to physics. WE COULD SAY TIME IS A VECTOR AND ITS DIRECTION IS IN DIRECTION OF INCREASING ENTROPY, WHICH U USUALLY CALL THE FUTURE(BUT THAT TUTOLOGY IS RATHER INCORRECT, FUTURE IS DEFINED BY TIME ITSELF , WE CANNOT USE FUTER TO DEFINE TIMEBACK, WHAT WE COULD USE IS ANOTHER PHYSICAL QUANTITY WHICH IS INDEPENDENT OF TIME) SECOND LAW OF THERMODYNAMICSI NSURES US THAT WE HAVE THIS QUANTITY AN ALTERNATE DIRECTION MAY BE THAT OF IN WHICH TOTAL ENERGY REMAINS SAME, THIS DEFINITION WOULD PROVE INEXISTENCE OF NEGETIVE TIME VECTOR OR IN RATHER ORDINARY WORDS TIME FLOWING BACK. BUT ENEERGY DOESNT CHANGE SO WE WONT HAVE A +VE DIRECTION FOR TIME VECTOR. SO WE WILL USE A TERM RELATED WITH ENERGY WHCIH CHANGES,IT ISENTROPY WHICH MEASURE CONVERTION OF USEFUL ENERGY INTO UNUSEFUL .OR WE MAY SAY ITMEASURES DEGRRE OF DISORDER(ITS A PRECISE STATISTICAL STATEMENT) SO WE HAVE DIRECTION OF TIME. NOW SOME MATHEMATICAL ASPECTS- WHEN WE SAY SOMETHING IS A VECTOR WE MEANT BY IT- 1)IT FOLLOWS LAWS OF VECTOR ADDITION 2) IT COULD BE FRACTIONED INTO INDEPENDENT COMPONENTS- WHICHOBEYS PRINCIPAL OF SUPERPOSITION THEORY OF GR ASSURES US THAT WE COULD HAVE COMPONENTS OF TIME, A DIRECTION OF TIME LITTLE INCLINED TO THAT OF FORWERD DIRECTION MEANS A BIT SLOW PROGRESS IN TIME, WHICH IS SUPPORTED BY SPECIAL RELATIVITY. ON THIS POINT I WOULD LIKE TO HAVE UR COMMENTS , I WORKED ONIT A BIT, AS A PASSTIME, AND I THINK TIME COULD BE PROVED AS ATENSOR OF RANK TWO. PEOPLE WHO ASSUMES THMESELVESAS PHYLOSPHERS OF PHYSICS NEED NOT COMMENT, THIS SUBJECT IS FOR THOSE WHO UNDERSTAND ITS MASTHEMATICAL INTRICACIES. PROBLEM WITH PHYLOSRS OF PHYSICS IS THAT THEY NEVER HAD ENOUGH MATHEMATICS TO HAVE TANGIBLE GRASP OVER PHYSICS. ON THIS POINT I INVITE UR COMMENTS WHICH MAY PROVIDE A PUSH IN +VE DIRECTION TO UNDERSTANDING OF THIS QUESTION
Posted on: Sat, 15 Jun 2013 14:06:15 +0000
Trending Topics
Recently Viewed Topics
© 2015