Thanks Tommy .... I knew that some of those names in the photographs were a bit of a 'guess'. I had asked around, but, apart from Barbara Stock (before she died in America a few years ago), and my own fading memories, I couldn't get any information from anyone. I don't want to make changes to, and re-load, the video, so I will leave it there ..... and hope that your comment is enough of a correction for anyone else who sees it. Any other comments and correction from folk are gratefully received. Best wishes. Eddie

Brilliant piece of work Eddie.This brings back so many memories. I too was born and lived in Cowper St (no's 33 then 31 then back to 33) from 1957 to 1975. I went to the Lifeboys and later the BB where I played the bugle (so badly I was asked to "just pretend" whenever we played in the hall). I'm probably one of the freshly scrubbed kids in the church photos. Just for your records the woman you have as "Mrs Harvey" in the photos of 48:21 and 48:51 is actually my aunty (Joyce McMichael) who, believe it or not, is Joyce Burgess of the photo at 21:20 ! The little girl in the photo at 48:21 being held by "aunty Nellie" is Joyce's daughter (my cousin) Jean. Thanks for a great video Tommy McMichael

A Great Master! Beautiful lessons, thanks!

Any recommendations for books?

Ops I am 16!!!

I have followed this series from start thru #20. No better explanation of general relativity exists without graduate level university course in physics. Thank YOU!

This was brilliant, thank you very much!

THANKS !

😂😂 again a beating and neat explanation about tensor basics. Thank you

By far the best explantaion i have ever seen of spin angular momentum

Thank you again, prof. Boyes. As i said before, this series is so good, it deserves to be published as a book. Looking forward to it .

Excellent work

A Great teacher!!! THANKS

9:55 That jump was so fast

Our universe appears flat too.

thank you for these fantastic videos. At 30min in you show a tensor T with staggered indices. eg you write {T^m}_n rather then T^m_n with the indices directly above each other. I am trying to understand what the staggered indices tell me. if the tensor is the product of two vectors V^m and W_n, then {T^m}_n=V^m x W_n and {T_n}^m =W_n x V^m ie the stagerred indices indicate the order of multiplication, is this correct? Is there other information the staggered indices tell you, is it important to stagger the indices or would just writing them directly above each other as in T^m_n be normally sufficient?

Sehr gut

Awesome explanations!

Amazing lectures. Following all the points and making extensive notes. Thank you so much for making such a complex subject understandable by lesser intelligent beings like me

Dear prof. Boyes. Your lectures on GR are the best one can expect. The step by step approach, the patience during explanations and the great didactic ability, make the learning process become wonderful expireince. If i may express my opinion as a Phd. In physics teaching, these lectures deserve to be transformed into a great book, better than many others on the same subject. Thank you.

Selamlar. Hocam bu dersten hiç bir şey anlamadım. Kolay gelsin.

#9 Is my great Grandfathers Show boat the Majestic.

Selamlar. Hocam ağzınıza sağlık çok güzel anlatımlar yapmışsınız emeğinizi takdir ediyorum. Fakat tüm bunlar bir karmaşadan başka bir şey değil. Einstein Alan Denklemlerine gerçek sayısal değerler vererek gerçek bir hayat uygulaması yapsanız Alan Denklemlerini anlamak bir kaç saat sürer. Fakat sizin anlattığınız şekilde bir öğrenci bu konuyu 20 yılda anlayamaz. En iyi öğrenme şekli gerçek bir uygulama üzerinden gitmektir. Einsten'ın dahi bunları bilmediğinden eminim. Teşekkürler.

Çok güzel ve detaylı anlatımlar yapmışsınız hocam Teşekkür ederim dersler için. Ama Tensörlerde bir karmaşa hakim. Net çözümleri anlamak zor. Bilhassa indislerle ilgili bir çok soru işareti var. Mesela n indeksinin sabit olması gerekir ama değişiyor. g11 g12 n=1 n=2 m=1 bu hatalı değilmi. İkinci satırda g21 g22 n=1 n=2 m=2 Böyle bir şey olabilirmi. Aslında Metrik Tensörler boş bir uğraştan başka bir şey değiller. Sayısal değerler vererek çözümler yapılsa Einstein'ın Alan Denklemlerini anlamak bir kaç saat sürer. Teşekkürler.

Amazing set of videos. Thank you so much for all the hard work. Knowing that you teach at York University is an added bonus for me. I remember being there in 1978 at the computer labs on a school visit from St Peter's School, York. Thanks again

Muhteşem anlatım. Çok değerli bilgiler. Teşekkürler.

Muhteşem. Teşekkürler.

Selamlar. Hocam Muhteşem dersler anlatmışsınız. Çok değerli bilgiler vermişsiniz. Teşekkürler.

Selamlar. Hocam muhteşem dersler anlatmışsınız. Teşekkürler.

Selamlar. Hocam Ricci Skalerini 0'a eşitlersek bu anlamsız olmazmı. Yani R nin denklemde bir anlamı olmayacak.

Hello. Sir, if I am not mistaken, at 56:44, you transposed the 0th row and 0th column. Is it true. Thanks.

Outstanding

Great stuff. However @43:15 the escape velocity from the surface of the earth is 11.2 kilometers per second, not 11.2 meters per second.

I like your point of view. Nice one! 👌

Great work, very clear. Thanks

Excellent series! Thank you! The contravariant and covariant components and the lowering indices made sense for the first time. Now I am all confused about the many places in which there seems to be a need for a dual vector space with a set of dual basis vectors, etc.

Thank you for these videos. As a former physics student revisiting GR years later they are really a wonderful resource. A note about the discussion of vectors at the end - the way I learned them was to use unit vectors, so in this case it would be an “r hat” vector, where “r hat” is a unit vector pointing radially outward from the center of the earth. That way you get vector equations without having the cubic term in the denominator of the force equation as you pointed out.

Why do you have row vectors equating column vectors when using a change of basis matrix from contravariant to covariant vectors?

Nobody ever called it cinergy field . Riverfront stadium.......the only place the Reds ever won anything. Or ever will.

Great Video. Just wondering if you are familiar with volume form/element and how it is used to prove the Ricci tensor's role in volume changes along geodesics? I've been struggling to get my head around the proof.

Я Вам так подячна!

Brilliant thx

my little league football team went first place every season and for the championship we got to play inside riverfront stadium every year, i even got my name on their scoreboard

I have watched many physics channels but have not seen such clarity in explaining difficult concepts. Waiting for more

4 Columbia Parkway at Martin Dr. It's pretty much unchanged.

There is no stationary anything any more than there is no single velocity. All velocities are infinitely relative, which is exactly like saying, they don't exist. Acceleration is agreed upon by all observers, gravity is focused at a center, and somehow these absolute conditions are subordinate to velocity. That's so human. You've created the Earth-centered-Universe narcissism again, only this time, it's the observer, because every time an observer changes speed, the entire Universe of relative conditions changes to suit the observer's perspective. Math can lie to you. You CANNOT show me dimensions 1 or 2, and time is in your head "believing" the math. Transform equations adjust these fake math ideas to CREATE "c". Look at my gyro explanation -BASIC mechanics, and you got it wrong letting math dictate CAUSE to you.

Just beyond belief! Wonderfully expressed, I love how you subtly hammer home the points to guide people away from the restrictions of geometry learned from a black board! " Be very careful what you put into that mind for you will never get it out!".

i have watched all 3 of your video series! fantastic! I was unclear about why the Higgs field is represented by two complex scalar fields, but ChatGPT informs me that it was needed for the extra degrees of freedom.

Very nice video series...

fantastic professor