Geodesic and time dilation, about falling objects. It was the missing piece of my superficial understanding of the General Relativity. Imagined and checked.
I have cried and I cry for the overwhelming emotions I get from the music of Lou Reed, from the genius of Albert Einstein. For beauty.
“qui arriva l’idea straordinaria, il puro genio: il campo gravitazionale non è diffuso nello spazio: il campo gravitazionale è lo spazio. Questa è l’idea della teoria della relatività generale. Lo «spazio» di Newton, nel quale si muovono le cose, e il «campo gravitazionale», che porta la forza di gravità, sono la stessa cosa. È una folgorazione. Una semplificazione impressionante del mondo: lo spazio non è più qualcosa di diverso dalla materia: è una delle componenti «materiali» del mondo. Un’entità che ondula, si flette, s’incurva, si storce. Non siamo contenuti in un’invisibile scaffalatura rigida: siamo immersi in un gigantesco mollusco flessibile. Il Sole piega lo spazio intorno a sé e la Terra non gli gira intorno perché tirata da una misteriosa forza, ma perché sta correndo diritta in uno spazio che si inclina. Come una pallina che rotoli in un imbuto: non ci sono misteriose «forze» generate dal centro dell’imbuto, è la natura curva delle pareti a fare ruotare la pallina. I pianeti girano intorno al Sole e le cose cadono perché lo spazio si incurva. Come descrivere questo incurvarsi dello spazio? Il più grande matematico dell’Ottocento, Carl Friedrich Gauss, il «principe dei matematici», aveva scritto la matematica per descrivere le superfici curve bidimensionali, come la superficie delle colline. Poi aveva chiesto a un suo bravo studente di generalizzare il tutto a spazi curvi di dimensione tre o più. Lo studente, Bernhard Riemann, aveva prodotto una ponderosa tesi di dottorato, di quelle che sembrano completamente inutili. Il risultato era che le proprietà di uno spazio curvo sono catturate da un certo oggetto matematico, che oggi chiamiamo la curvatura di Riemann e indichiamo con R. Einstein scrive un’equazione che dice che R è proporzionale all’energia della materia. Cioè: lo spazio si incurva là dove ci sia materia. È tutto. L’equazione sta in una mezza riga, non c’è altro. Una visione – lo spazio che si incurva – e un’equazione. Ma dentro quest’equazione c’è un universo rutilante. E qui si apre la ricchezza magica della teoria. Una successione fantasmagorica di predizioni che sembrano i deliri di un pazzo, e invece sono state tutte verificate dall’esperienza.” (from “Sette brevi lezioni di fisica (Opere di Carlo Rovelli Vol. 1) (Italian Edition)” by Carlo Rovelli)
Diego singing this one, so sweet. I love him. And this morning he was teaching me the lyrics. “Hans mein Igel wohnt in unserem Garten”…
I miss my family. They are in Rügen since more than 2 weeks, enjoying a Kur. Home is empty without the Energy of Diego, without the Symphony of Wanda, without the Magic of my Regine.
I received today my first Covid19 vaccine dose. Emotional, long day.
Quantum Mechanics (not to mention Strings and Multi-universes psychedelia) appears too crazy for me, and will always be as I guess I do not have enough notions plus it does not seem to fit into my brain’ settings. That is probably why I find it fascinating. According to one of the quantum theories, It’s all – we are all – about irregularities of a field!!!
I just finished reading (and partially understanding) the book “A Brief History of Time: From the Big Bang to Black Holes” by Stephen Hawking. Every night I couldn’t wait to read some pages more before falling asleep and continuing travelling the Universe in my mind. How understanding the origin of the Universe could lead to the formulation an Unified Theory (and vice-versa) and the Anthropic Principle are takeaways I am looking forward to further exploring.
“The Anthropic Principle says that the universe has to be more or less as we see it, because if it were different there wouldn’t be anyone here to observe it. … As an example of the power of the Anthropic Principle, consider the number of directions in space. It is a matter of common experience that we live in three-dimensional space. That is to say, we can represent the position of a point in space by three numbers. For example, latitude, longitude and height above sea level. But why is space three-dimensional? Why isn’t it two, or four, or some other number of dimensions, like in science fiction? In fact, in M-theory space has ten dimensions (as well as the theory having one dimension of time), but it is thought that seven of the ten spatial directions are curled up very small, leaving three directions that are large and nearly flat. It is like a drinking straw. The surface of a straw is two-dimensional. However, one direction is curled up into a small circle, so that from a distance the straw looks like a one-dimensional line. Why don’t we live in a history in which eight of the dimensions are curled up small, leaving only two dimensions that we notice? A two-dimensional animal would have a hard job digesting food. If it had a gut that went right through, like we have, it would divide the animal in two, and the poor creature would fall apart. So two flat directions are not enough for anything as complicated as intelligent life. … Read more
I saw a Fox from my window the other morning. It’s not something that happens often to a city-man like me. A fox in a quiet side street in the middle of the city. It was the second time in my life, maybe the third, I’m not sure, but always in Berlin in the last 10 years. Sometimes it can happen that you meet wild animals here, still after 10 years. The feeling I experienced was kind of…peaceful.
Buon Compleanno Wanda!
Buon Compleanno Diego!
Diego, Wanda, it’s been a beautiful day! We had breakfast eating your birthday cake made by you and Mamma Guni, surrounded by the presents you received, and you were so excited… And we spent the sunny day at wonderful Obersee, playing, eating, walking. Together.
A beautiful day, me and your mother were feeling so rewarded seeing you so happy. We are so happy for your and our joy.
We love you Wanda and Diego.
We will move to South Germany in July.
It’s exciting, we are very happy.
Disappointed by Astronomical, the latest book I read by Tim James: overall a collection of measures and numbers, disconnected facts and diluted theories, with no story nor crescendo and with a forced humor. But I kind of liked the final quote :
“Everyone wonders sometimes if the human race is worth preserving and everyone has moments where they look at the size of the Universe and feel insignificant by comparison. Space science can potentially be depressing because it reminds us of our smallness. My answer is this: imagine if the Universe really were simple. Imagine how boring the story of science would be if Earth genuinely were flat, or if there was nothing outside our solar system. Imagine if, after spending a few years looking around with telescopes, we knew everything there was to know. No more mystery. No more exploration. No more discovery. How awesome it is that instead we find ourselves in a universe as huge and varied as this one. How fortunate we are to be surrounded with so many mysteries in desperate need of solving and how lucky we are to live in a universe bigger than our imaginations.”
I wonder if, while playing in this movie, they had imagined that after 62 years someone like me, not yet born at that time, would have been laughing loud while having breakfast 7 AM in front of a TV watching them in this great performance.
I guess this is my favorite Totò movie, “I Tartassati” , with Him and Aldo Fabrizi.
Here, the entire movie and one of my favorite scenes on Youtube.
– This weekend I learned how to create a Child Theme in WP and to modify some of its CSS properties. And it’s the one currently active on this website.
– Reading, again, Fundamental by Tim James.
– We are focused on our family’s project about migrating direction South.