Tao Te Ching and the time mathematics

This is continued from the part 1 post nearby in time.


On the amazing book Tao Te Ching - Lao Tzu we may read:


He, she who sails slowly sails further.


Below is some food for thought.


Relation of time felt passed to energy spent (1 hour at the mountain quickly climbing).


v=s/t , therefore


t=s/v , if v tends to infinity, time tends to 0


But kinetic energy is 0.5 x mass x speed x speed or


E= 1/2 m v^2,    infinite speed means infinite energy


Also power = force x velocity or


P=Fu, this is analogous to P=VI, ie electric voltage times electric current


Also u=F/friction, analogous to Ohm's law , I =V/R (R:electrical resistance)


How come and speed is proportional to force?


We know from Newton's second law F=mass x acceleration that a constant force makes the velocity continuously increasing up to infinity.


This seemingly paradox is because u=F/friction is about steady state. And also it when there is fiction. And friction and force applied are equal and opposite so net force is zero. So mass keeps moving at steady speed.


Newton's second law in fact is:


Vector sum of forces = mass x acceleration


When there is no other force on a mass it is like having a pure inductance without resistance. The current keeps increasing.


Whereas when there is resistance it is like Ohm's law.


But let's not digress.


Power = FxU ( due to friction) (air friction etc for example to an aircraft)


Heat dissipation is increased.


So entropy increases.


Is psychological time related to how much we have increased the entropy of the universe by our action?


When we hurry we can greatly increase entropy by greater possibility of an accident.


For example rushing or running to get out of the house for being late.


A vase is broken to pieces (entropy increase) by the bag going wild around our shoulder.


This causes further delay magnified several times.


Bibliography:


For analogies in electrical, mechanical, acoustical systems see Dynamical Analogies - Harry Olson or Introduction to System Dynamics - Shearer, Murphy, Richardson


Lectures in Physics - Feynman


Conceptual Physics - Hewitt