June 03, 2018 Sunday
Bedtime Story
A Bit on Lorentz Scalar
When a Conservation Law is Lorentz
invariant, it means to say that if a quantity is conserved in one frame of
reference, it is conserved in all moving reference frames.
Such type of conservation Law that is
Lorentz invariant is known as Local Conservation law and it also implies global
conservation; that the total amount of the conserved quantity in the Universe
remains the same.
There is yet another way of stating the
Conservation Law – Any quantity X in the mathematical description of a system’s
evolution remains constant through its motion – which means to say that it is
invariant.
Invariant in mathematics and mathematical physics
is a property of a system that remains unchanged under some transformation.
Invariants are as important as symmetries
in mathematical physics and many theories in physics manifest themselves using
these terminologies.
One very famous example of a physical
invariant is that of speed of light under Lorentz transformation which
essentially is a space-time transformation representing shifts between
observers of different frames.
Mathematically, one can say that the rate
of change of X is zero.
Or the derivative of X with respect to time
is zero.
Mathematically, dX/dt = 0
All these conserved quantities in
Conservation laws are sometimes called constants of motions, even though it is
not necessary that there ought to be actual motion; merely evolution or
progress of time is sufficient.
Not only these Conservation Laws or
constants of motion describe the fundamental reality of nature but serve as a
useful calculating tool.
You must know from your high school physics
that historically, the first constants of motions to be discerned were momentum
and energy proposed in 1600s by the giants of mathematics and physics Rene
Descartes and Gottfried Leibniz after carrying out series of collision
experiments.
Since in our history they were the first
two constants of motion, it is these that are introduced first to the High
School students much to their suffering and mental agony as the poor buggers
are little mentally prepared of the significance of these concepts.
Yet the real reason for the mental agony of
most children when it comes to physics and mathematics is that these subjects
are incredibly difficult for our evolved brains that are essentially only
naturally tuned in the game of survival and mating and sometimes not in that
order.
So what was discovered completely
originally by pain staking experiments and new form of mathematics in 1600s by
the giants of mathematical physics is still not comprehensible to most average
apes.
This is evident from the mental occupations
of most average apes as their primary fascination and preoccupation continues
with the two basic needs for which our brains were primed for – survival and
mating.
The brilliance of mathematical physics lies
mostly unread in the dusty covers of barely-gazed library shelves or unread
pages and unwatched videos on the internet.
Stay tuned to the voice of an average story storytelling
chimpanzee or login at http://panarrans.blogspot.com
Good night Mon Ami and my fellow cousin ape.
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Another great educator and a teacher that I am aware of is
Professor Subhashish Chattopadhyay in Bangalore, India.
While I narrate stories, Professor Subhashish an electronic
engineer and a former professor at BARC, does and teaches real mathematics and
physics.
He started the participation of Indian students at the
International Physics Olympiad.
Do visit him here:
All his books can be downloaded for free through this link:
For edutainment and English education of your children, I
recommend this large collection of Halloween Songs for Kids:
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