Measure of Eternity
Time is ubiquitous, felt by all, yet unfathomably mysterious. In an earlier post I wrote of its enigmatic nature. Not only its nature, even its scale is beyond the grasp of human mind.
Smallest quantity of
time measurable theoretically is 10–43seond, i.e., one part of a
second divided into 1043 parts (ten followed by 42 zeroes).
This scale does not pertain only to the realm of theoretical physics. Our
universe changed immensely within these time intervals at its inception. 10–32
second after Big Bang, universe had increased by a factor of 1078.
This increase in volume is like the expansion of half a molecule of DNA into a
space of 10.6 light years. One light year is the distance light travels in a
year, which is 9 trillion kilometres. That is a 9 with 12 zeroes behind it.
At the other end of
its scale time is equally baffling. Life on earth began about 3.8 billion years
ago. For us, billion is just a figure, one followed by nine zeroes. To picture
the vastness billion encloses, simple analogies help. A billion seconds ago it
was 1980, a billion minutes ago A.D. 100, a billion hours ago Homo Sapiens had
recently evolved.
Expanse of geological
time and size of universe, seen in the context of human life, teach us
humility. Compress earth’s history of about four billion years in 24 hours, the
present moment being just past midnight. In this analogy Earth forms at 12.00 A.M., the previous night.
Life begins quite early, at about 4am. Dinosaurs will rule the earth from 10:40
P.M. to 11:40 P.M. Human ancestors will split from other hominids only two minutes to
midnight and modern humans will arrive only as the clock strikes midnight.
An analogy of
geological time that never fails to give me goose bumps is this. Fling your
arms wide. Tip of the left finger represents the origin of life and the tip of
the right, the present moment. Well beyond the right shoulder all the way
across your midline, life is represented by bacteria. Animal life appears near
your right elbow. Dinosaurs appear in the middle of the right palm and go
extinct near the last joint of the fingers. History of Homo Sapiens and our
immediate predecessor, Homo Erectus is contained in the thickness of one
nail-clipping. And one light stroke of a nail-file will wipe away the complete
recorded history; The great Pharoah’s might that built imperishable Pyramids,
The everlasting dynasties of ancient China, Marvellously planned towns of
Harappa and Mohenjo-Daro, Veds, Purans, Mahabharat and Ramayan, The Greek
philosophy and the Roman gods, Origins of Buddhism, Hinduism, Judaism,
Leonardo-da-Vinci’s enigmatically smiling Madonna, Michelangelo’s ethereally
beautiful David, Protectors of the universe-the unconquerable Mughal emperors,
Sonnets of Shakespeare, The boundless British empire on whom Sun never set,
Einstein’s relativity, Novels of Tolstoy, Stories of Chekhov, Nazms of Faiz,
Ghazals of Ghalib, The city of Joy and The unending slums of Bombay. All will
be blown away as the file rubs the edge of a nail.
If this is the truth
of our existence, one wonders, whence cometh the hubris of man; belief that the
universe was created for its most evolved species, a moderate sized bipedal-ape
with a self-indulgent mind.
Every religion has
dealt with the mystery of time in a unique way. Biblical time is linear. It
runs one way. Man is born, lives his life and ends it on the day of Judgement.
After this there is eternal joy in Heaven or torment in Hell. There is no
turning back. Bible also gives an accurate date to the origin of the universe;
4004 B.C. Biblical God created the universe and all life in it in six days.
In Hindu theology,
time, Kaal, is measurelessly grand and cyclical. Each cycle has three
components: Srishti, creation; Stithi, continuation; and Laya,
dissolution. After a brief respite cycle begins all over again. Time is
illusory. In god’s consciousness there is no division of time. There is only
one present moment; one continuous, indivisible existence. Time is
manifestation of God. God is timeless. Time is relative and ceases to exist in
the Absolute. Hindu belief also defines time in humungous proportions that
rival the geological scale. Cosmic time is divided in Kalpas, a day and
night in the time and space of Brahma. It equals 8.64 billion years. Lifespan
of Brahma is hundred Brahma years, i.e., 311.04 trillion years.
Scale of time in our
lives seems to be a different attribute when compared to the geological time.
These appear to be two different parameters, not of the same world. One can
neither perceive the gigantic expanse of geological eons, nor can our clocks
measure it.
Clocks we use in our
daily lives exploit the regularity of a natural process to measure time: Flow
of water in or out of a container in a water clock; Burning of wax in candle
clock; Flow of sand in an hourglass; Rotation of earth in sundial; Swivelling
of a hairspring in a timepiece; Swinging of pendulum in a grandfather’s clock;
Oscillation of a crystal in quartz clock; Resonation of atoms in atomic clock.
Science is sure of
the dates of major events in the history of universe and life on earth, however
beyond our imagination these may be. Some of these are: age of earth, origin of
life, origin of various species, migration of human ancestors out of Africa,
creation of continents by plate tectonics, rise and fall of various empires,
etc. What are the clocks science employs to measure this seemingly unmeasurable
time? Fortunately, nature has many such timekeepers ticking in its amazing
structure. Once again, I am left breathless at science’s ability to prise open
nature's secrets by application of simple laws that on face appear utterly alien
to the use they are put to.
Science of counting
tree-rings, Dendrochronology, employs the variable growth of trees during
favourable and inclement seasons, seen as rings in tree's girth. This pattern
is not unlike a barcode used today. Matching the older ring patterns of newly
felled trees - whose date of death is known - to the younger ring pattern of an
old wood and then counting the rings backwards, age of the wood can be
ascertained. Daisy chaining backwards from this older ring pattern to even
older woods, one can estimate the age of trees that were alive many millennia
back. But you need old petrified wood for the study. This is scarce.
Dendrochronology can take us back only 11,500 years.
Geological processes
and biological evolution cannot be measured even in thousands of years. These
span time scales of tens of millions, hundreds of millions or billions of
years.
Buried in earth’s
landscape are radioactive clocks that enable us to measure these gargantuan
time periods. Radioactive isotopes decay at a constant rate. This is measured
as isotope’s half-life; Time interval in which half the initial mass of isotope
decays. Half-life of various isotopes varies from 49 billion years of
rubidium-87 to 3.3 milliseconds of fermium-244. The most useful for evolutionary
studies is potassium-40, which decays into argon-40 with a half-life of 1.26
billion years, hence the name potassium-argon clock.
Radioactive isotopes
are found in igneous rocks. These are rocks formed from molten lava or magma.
After formation of a rock, the quantity of isotope in it (e.g., potassium-40)
decreases steadily and that of the decay-product (e.g., argon-40) increases.
Thus, ratio of argon-40 to potassium-40 in a sample of igneous rock can tell us
the age of the rock, i.e., when it was formed. Beauty of this clock is that age
doesn’t depend on the absolute quantity of potassium-40 contained in the rock
initially, only on the present ratio of argon-40 to potassium-40. Fossils are
found in sedimentary rocks which have igneous formations embedded within. Age
of these igneous rocks tells us when a particular organism fossilised in the
sedimentary rock was alive.
Carbon-14 dating is
another ingenious tool to date archaeological specimens. Carbon is the most
basic building block of all life on earth. It is required for the formation of
complex molecules like DNA and proteins. It is found in the atmosphere as
carbon dioxide, i.e., CO2. Through photosynthesis by plants, it
enters food chain. Most carbon in the atmosphere is carbon-12. About one in a
trillion atoms is carbon-14. This is the ratio of carbon-12 to carbon-14 in a
living organism too, as long as it continues to be a link in the Carbon-cycle.
On its death this chain is disrupted. Carbon-14 contained in the dead body
slowly converts to nitrogen-14 and the ratio of carbon-14 to carbon-12
decreases. Half-life of carbon-14 is 5760 years. Thus, analysis of the
proportion of carbon-14 to carbon-12 in a dead organism can reveal the time of
its death. Carbon-14 dating is useful for dates up to 50,000 years back.
The most famous
riddle solved by carbon-14 dating in recent times is the case of the Shroud of
Turin. A piece of cloth preserved in Turin since 1578, allegedly has imprinted
on it an image of a bearded, crucified man. Thus, the shroud was supposed to
hail from the time of Jesus. In 1988, laboratories at Oxford, Zurich, and
Tucson performed carbon dating on a tiny piece of this cloth. All arrived at a
date of origin of the shroud in the 13th century within accepted margins of
error. Vatican found ingenious ways to circumvent this demystification of the
myth and continues to encourage believers to revere the shroud as an “icon
of a man scourged and crucified”.
Today I am drunk on
the wine of scientific rigour – the breath-taking power of human mind which
teases out truth from the entangled web of observations – and will steer away
from the debate on Fact vs Fiction.
Molecular clock is
another important timekeeper in nature that helps evolutionary science. Gene
mutation is a known phenomenon. A mutation which affects the body of the
organism in some way is extremely rare. Such mutations are preserved, if they
benefit the organism or they perish, if they are harmful. 95% of our genome has
absolutely no function. A mutation in these genes is not translated into any
effect in the body. There are certain genes which code for proteins that are
absolutely vital for life. A mutation in these genes too does not affect a
change in its function. Thus, nature would not read these mutations and the
gene will continue to code for the same protein. But a molecular geneticist can
read them. These are called Neutral mutations, as they do not affect the
function of the gene.
Each gene has a
characteristic rate of turning up new Neutral mutation. Histone genes turn up a
mutation once in a billion years, Cytochrome C genes once in a million years
and Haemoglobin genes once in ten million years. Molecular clock helps
evolutionary biologist decide when two species split apart in their
evolutionary history. If a gene common to two species, accumulated Neutral
mutations at a rate of 1% per million years, then a difference of 2% in the
genes in two species will imply they separated ways about a million years ago.
Thus, it is known today that ancestors of humans and chimps, our nearest
cousins in the animal world today, separated about 5-6 million ago.
Theologians will
argue forever about time’s nature: whether it is linear or cyclical; whether
God created the universe in six days and rested on the seventh or God
unendingly creates and destroys worlds.
Einstein's Gods were
the infallible laws of nature. All his life he strove to read the hidden
meaning behind nature's manifest phenomena. 'Subtle is the Lord, malicious he
is not', he would say when confronted with some seemingly intractable riddle in
nature.
Time leaves its
indelible footprints in the universe with which it was born in a very distant
past. Effort of science to discover these imprints and unravel their meaning is
as thrilling a journey as are the intrigues of this most unique dimension of
our universe and our lives - The immortal, eternal Time.
Sir this is a very absorbing read. You have explained the concept so nicely with such amazingly apt analogies.
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