Showing posts with label Math. Show all posts
Showing posts with label Math. Show all posts

20.2.24

Carlo Rovelli Has Once Again Taken Me Along For The Ride



White Holes - Carlo Rovelli (2023)


I have admired so many great thinkers, imagining how it must have been for contemporary readers of Goethe, Homer, Nietzsche, etc.  To share in the intimate thoughts of those at the cutting edge of abstract human exploration (Literature, Philosophy, Science, Arts) as they themselves first share them with the world at large seems to me one of the rarest glories that life may afford for a layperson such as myself, in love with science and human exploration.  Reading the work of Carlo Rovelli I find myself exactly where I imagined decades ago, with open ears and mind, receiving original ideas from someone on the leading edge of abstract thought, ideas which will alter everything moving forward.  I feel so fortunate.

(I must mention here that Mr. Rovelli is Italian, and writes in his native language.  I feel a great debt owed to the translator of this book, Simon Carnell.  He managed to convey both the facts and the subtle meanings in a wonderful way.)

Carlo Rovelli is a theoretical physicist, and one of the most original thinkers.  He is gifted not only with the ability to grasp and calculate abstract mathematics and physical theory, but he writes like a poet, explaining the science with the same fervor with which he explains his personal mode of work.  He not only loves ideas, and exploring them as far as possible, but he loves the process by which he develops his ideas.  The joy he finds in work that, to many, may seem like mathematical drudgeries and theoretical mazes, is readily apparent.  I felt his joy and wonderment as his conclusions led to new questions, and eventually to the idea that a black hole does not "die" but is instead, reborn as a "white" hole.  

Thirty years ago, black holes were barely an accepted theoretical idea.  Today, there are hundreds, if not thousands, of them catalogued in visible space, with nearly every galaxy containing a massive black hole at its center.  Physicists sought to understand the "life cycle" of a black hole, much like they studied the life cycle of stars.  Many assumed that a black hole was a permanent null void in space, while others, such as Stephen Hawking, surmised that through natural quantum effects, the black holes would slowly "evaporate" away.  Evidence of these processes has been found.   These became the consensus on black holes.

Mr. Rovelli's genius lies not only in the real of physical science, but in the much-admired (by me) and often lacking skill that is pure abstract thought.  It is in abstract thought that the human mind achieves greatness.  This place is where intuition, knowledge, and the magic of consciousness combine to create the truly new ideas.  From the first human to note that fire made the clay underneath hard and sturdy, thereby intuiting that shaping the clay while wet and then placing it in the fire she could create a vessel or bowl, to Albert Einstein discovering the relativity of time while pondering the way train stations miles apart managed to keep track of departures and arrivals, this mind abstraction has shaped all of humanity.  It is in this realm that Carlo Rovelli realized a black hole does not need to evaporate or die, since quantum effects prevented the actual formation of a singularity, always assumed to reside inside all black holes.  Instead, Rovelli grasped that the gravity pit would bounce back, in a sense, and that the black hole would become a "white hole," an object that spews matter and energy out of itself into the universe at large, without ever becoming a singularity.  This is a BIG idea, and the hard part was yet to come.

Many non-scientists assume that the job of physicist is to come up with ideas.  That is only the very start of the process.  The work comes in using rigorous mathematics to test the ideas over and over again, looking for any and all possibility of error, assumption, and misunderstanding.  One must also look into any previous work that may have analyzed the same phenomenon.  It can take a lifetime to properly verify that a physical theory stands up.  It is now 2024 and we still run experiments testing the theories Einstein crafted one hundred years ago.  THEY HOLD UP! My favorite sections of this book are when Rovelli describes the joy he feels when the mathematics consistently work in his idea's favor.  What the Universe does not allow will not happen. The joy of discovery is a pure one, and rarely described so beautifully.

I am fortunate to find myself here, with Carlo Rovelli, at the start of his journey.  I expect he will explore white holes and every new possibility they may bring.  I will be right there with him, receiving periodic updates hopefully, as he continues his foray into the unknown, leading the charge for the rest of us.  I highly recommend this book. 

(White Holes can be purchased here: https://www.penguinrandomhouse.com/books/724426/white-holes-by-carlo-rovelli/ )


30.10.19

Hans Reichenbach Uses Math to Show Us the Direction of Time



The Direction of Time – Hans Reichenbach (1956)

            In the late part of the 18th and the beginning of the 19th century, many philosophers saw their world crumble when their old, long-held assumptions about reality crashed down around them, due mainly to the various advancements that occurred in physics during that time.  Einstein’s relativistic theories regarding the large-scale composition of our Universe, and quantum mechanics’ probabilistic theories regarding the small-scale composition of the fundamental particles creating our existence did not allow for the old stand-bys of philosophy.  A Priori ideas were discarded.  Previously believed truths about our reality that were simply accepted as fact because Plato said so were understood to be false.  The understanding that any philosophical theory needed to support and not contradict the verifiable, empirical facts of the world of science was required.  In this tumult, philosophers such as Bertrand Russell sough to unify the empirical results of science with the aims of philosophy, helping create what is now called “scientific philosophy.”

           Hans Reichenbach was at the forefront of this movement.  He understood early on that the world as described by the then-current physics was not one that could be easily codified into philosophical terms and concepts.  A new philosophy was needed, and Reichenbach sought to provide that for the world.  One of his final attempts at this unification came in the form of this book, The Direction of Time, which explores how science and philosophy merge to describe the way that humans experience what we call time.

            Time is a concept that many misunderstand.  People assume that time is a purely linear function, equally applicable to the entire universe as it is to an individual, while others believe that time is relativistic, that each person experiences a different flow of time from anyone else.  Reichenbach begins his discussion of time by exploring what time means and what it has meant to philosophers of the past.  He explains the basic mathematics that show how our Universe is in a constant state of becoming from the past to the present, and how these mathematics show that time is irreversible, even though our minds can imagine such time reversals.  In our reality, time moves forward in all respects, with the future defined as that which has yet to occur but is influenced by the past and present, while the past is defined as occurrences which cannot be changed once they happen, but which will influence future events indefinitely.

            In order to explain his reasoning, Reichenbach goes into levels of math that are frankly beyond my cognition.  I have to admit that I never got past Algebra II, or Pre-Calculus in school.  As a Fine Arts student I satisfied my math requirements with Logic classes.  Thankfully, those same Logic classes help me keep Reichenbach’s thought processes in clear focus, even though his mathematical specificity leaves me in the dust.  I wish I had more ability to process Logarithms!  The beauty of knowing mathematics, even on a level such as myself, is that, while I may not understand the full import of a formula, I can follow the thought processes as one formula is permutated into another, or as it is simplified by the author.  This does help a lot in understanding this book.

            Reichenbach seems to come to the conclusion that time and the measurement of time are probabilistic processes, which require the understanding of thermodynamics, entropy, and macrostatistics as they relate to microstatistics.  Probability is a lot different in the macro world of our Universe than it is in the micro world of our subatomic particles.  Yet, they both point to an inexorable direction of time.  They both show, mathematically, that time is a process that moves in only one direction.  This is far more important and valid that the old Greek assumptions that everyone took for granted as gospel truth.  While I wish I had more of a grasp on high end mathematics, I am very glad I forged on and finished this book.  I hope to return to it one day in the future once I have increased my math skills.  It is amazing to see the basis for our current scientific philosophers.


(This book can be purchased here: Dover Books )