Mathematical Universe - Full Documentary HD
Δημοσιεύτηκε στις 26 Μαρ 2017
Mathematical Mystic
The
Role of Mathematics in Science aims to illustrate the many ways in
which mathematical methods have helped discovery in science. It is aimed
at a group of readers who are interested in mathematics beyond the
level of high school. The authors occasionally use some calculus and
more intricate arguments. The book should appeal to college students and
general readers with some background in mathematics. The authors state
that, ``If we succeed in giving an impression of the beauty and power of
mathematical reasoning in science, the purpose of our work will have
been achieved.''
What's the answer to the ultimate question of life,
the universe, and everything? In Douglas Adams' science-fiction spoof
“The Hitchhiker's Guide to the Galaxy”, the answer was found to be 42;
the hardest part turned out to be finding the real question. I find it
very appropriate that Douglas Adams joked about 42, because mathematics
has played a striking role in our growing understanding of our Universe.
The
Higgs Boson was predicted with the same tool as the planet Neptune and
the radio wave: with mathematics. Galileo famously stated that our
Universe is a “grand book” written in the language of mathematics. So
why does our universe seem so mathematical, and what does it mean? In my
new book “Our Mathematical Universe”, I argue that it means that our
universe isn’t just described by math, but that it is math in the sense
that we’re all parts of a giant mathematical object, which in turn is
part of a multiverse so huge that it makes the other multiverses debated
in recent years seem puny in comparison.
The mathematical universe hypothesis
I
was quite fascinated by all these mathematical clues back in grad
school. One Berkeley evening in 1990, while my friend Bill Poirier and I
were sitting around speculating about the ultimate nature of reality, I
suddenly had an idea for what it all meant: that our reality isn't just
described by mathematics – it is mathematics, in a very specific sense.
Not just aspects of it, but all of it, including you.
My starting
assumption, the external reality hypothesis, states that there exists an
external physical reality completely independent of us humans. When we
derive the consequences of a theory, we introduce new concepts and words
for them, such as “protons”, “atoms”, “molecules”, “cells” and “stars”,
because they're convenient. It's important to remember, however, that
it's we humans who create these concepts; in principle, everything could
be calculated without this baggage.
But if we assume that reality
exists independently of humans, then for a description to be complete,
it must also be well-defined according to non-human entities – aliens or
supercomputers, say – that lack any understanding of human concepts.
That brings us to the Mathematical Universe Hypothesis, which states
that our external physical reality is a mathematical structure.
For
example, suppose a basketball trajectory is that of a beautiful
buzzer-beater that wins you the game, and that you later want to
describe what it looked like to a friend. Since the ball is made of
elementary particles (quarks and electrons), you could in principle
describe its motion without making any reference to basketballs:
Particle 1 moves in a parabola.
Particle 2 moves in a parabola.
…
Particle 138,314,159,265,358,979,323,846,264 moves in a parabola.
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The
Role of Mathematics in Science aims to illustrate the many ways in
which mathematical methods have helped discovery in science. It is aimed
at a group of readers who are interested in mathematics beyond the
level of high school. The authors occasionally use some calculus and
more intricate arguments. The book should appeal to college students and
general readers with some background in mathematics. The authors state
that, ``If we succeed in giving an impression of the beauty and power of
mathematical reasoning in science, the purpose of our work will have
been achieved.''
What's the answer to the ultimate question of life,
the universe, and everything? In Douglas Adams' science-fiction spoof
“The Hitchhiker's Guide to the Galaxy”, the answer was found to be 42;
the hardest part turned out to be finding the real question. I find it
very appropriate that Douglas Adams joked about 42, because mathematics
has played a striking role in our growing understanding of our Universe.
The
Higgs Boson was predicted with the same tool as the planet Neptune and
the radio wave: with mathematics. Galileo famously stated that our
Universe is a “grand book” written in the language of mathematics. So
why does our universe seem so mathematical, and what does it mean? In my
new book “Our Mathematical Universe”, I argue that it means that our
universe isn’t just described by math, but that it is math in the sense
that we’re all parts of a giant mathematical object, which in turn is
part of a multiverse so huge that it makes the other multiverses debated
in recent years seem puny in comparison.
The mathematical universe hypothesis
I
was quite fascinated by all these mathematical clues back in grad
school. One Berkeley evening in 1990, while my friend Bill Poirier and I
were sitting around speculating about the ultimate nature of reality, I
suddenly had an idea for what it all meant: that our reality isn't just
described by mathematics – it is mathematics, in a very specific sense.
Not just aspects of it, but all of it, including you.
My starting
assumption, the external reality hypothesis, states that there exists an
external physical reality completely independent of us humans. When we
derive the consequences of a theory, we introduce new concepts and words
for them, such as “protons”, “atoms”, “molecules”, “cells” and “stars”,
because they're convenient. It's important to remember, however, that
it's we humans who create these concepts; in principle, everything could
be calculated without this baggage.
But if we assume that reality
exists independently of humans, then for a description to be complete,
it must also be well-defined according to non-human entities – aliens or
supercomputers, say – that lack any understanding of human concepts.
That brings us to the Mathematical Universe Hypothesis, which states
that our external physical reality is a mathematical structure.
For
example, suppose a basketball trajectory is that of a beautiful
buzzer-beater that wins you the game, and that you later want to
describe what it looked like to a friend. Since the ball is made of
elementary particles (quarks and electrons), you could in principle
describe its motion without making any reference to basketballs:
Particle 1 moves in a parabola.
Particle 2 moves in a parabola.
…
Particle 138,314,159,265,358,979,323,846,264 moves in a parabola.
* Subscribe for more Scientific & Technological Videos
* Like & Share
* go to our website http://www.advexon.com
* Share your ideas and comment
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