B
Bahman
Guest
Causality means that the state of subject matter is changing and it is related to state of subject matter in earlier moment.
Lets define S as state of matter at current moment and S’ as state of matter at latter moment. One can define S’=L(S) where L is the operator in which it maps S to S’ in a unique way so called law of nature. This is a local operator since states that S’ only depends on S and that is general feature of memoryless system.
One has to generalize this picture in order to accommodate memory which means that we have to define S_old={S(-n), S(-n+1), S(-n+2),…,S(0)} where S(0) is the current state of matter and S(j) is the state of matter in jth step, which refers to past if j is negative and to future if j is positive. One can define S(1)=L(S_old) where L is a nonlocal operator now. This means that state of matter in a given moment depends on state of matter in all former moment which is a correct interpretation of system with memory by sacrificing locality. This however uniquely define the future by which it states we live in epiphenomena world.
This however bring the truth out. Either epiphenomena is correct or not. It is correct if one can guarantee that L exist meaning that causality is correct otherwise L does not exist hence causality is false which grant freedom of action.
Your thoughts.
Lets define S as state of matter at current moment and S’ as state of matter at latter moment. One can define S’=L(S) where L is the operator in which it maps S to S’ in a unique way so called law of nature. This is a local operator since states that S’ only depends on S and that is general feature of memoryless system.
One has to generalize this picture in order to accommodate memory which means that we have to define S_old={S(-n), S(-n+1), S(-n+2),…,S(0)} where S(0) is the current state of matter and S(j) is the state of matter in jth step, which refers to past if j is negative and to future if j is positive. One can define S(1)=L(S_old) where L is a nonlocal operator now. This means that state of matter in a given moment depends on state of matter in all former moment which is a correct interpretation of system with memory by sacrificing locality. This however uniquely define the future by which it states we live in epiphenomena world.
This however bring the truth out. Either epiphenomena is correct or not. It is correct if one can guarantee that L exist meaning that causality is correct otherwise L does not exist hence causality is false which grant freedom of action.
Your thoughts.