Some Podcasts I enjoyed

If you're looking for some good podcast listening, I have a couple of recommendations.

(Obviously this assumes you are all up-to-date with our own Hello Internet)

First, I am a bit late to the party, but Serial was fantastic.

It's a 12-part series basically going into great detail about a 15-year-old murder case.
It was well executed and gripping.

Second, and here I'm even later to the party, but for something lighter I recommend chasing up the old episodes of The Incomprable in which they dissect the original Star Wars trilogy.

Good fun if you're a Star Wars tragic like me!

You're after episodes 46, 47, 67, 68, 88 and 89.

This blog probably won't help

This is one of those blog posts written so I don't have to answer lots of people individually.

It's just a collection of links and other stuff you should check out.

You're probably here after watching this video about the sum of all the integers. It shows how some physicists deal with the problem of the diverging sum 1+2+3+4, etc:

Here is an accompanying video we uploaded at the same time. You may have missed it:

Here is an article written by Tony Padilla after the video was published. I really recommend reading it if this topic interests you. For me, it is the most important link on this page. Tony directly explains what he does in the video.

Here's a video I later made with Ed Frenkel, where he discussed the result:

The New York Times wrote about it. Here is their take.

NEW ADDITION: Physicist Leonard Susskind discusses it here in this Stanford University video around 1:13:50. He also wheels out -1/12 for the sum of the integers - curious how often such a precise and arbitrary number is associated with that sum and all the different ways people get to it.

NEW ADDITION: Tony discusses the matter further in this 2022 podcast.

NEW ADDITION: Ten years later Tony discusses new research and a paper on the topic.

NEW ADDITION: Ten years later another Tony (Tony Feng) also discusses the “proof”.

Here's a Wikipedia article about it (this was already famous, or infamous, well before the Numberphile video).

This video about the Riemann Hypothesis contains a section which also neatly shows where -1/12 fits into all this:

If the notion of 1+1-1+1-1 brought you here, here's something else:

If you are still angry, that's okay.

I warned you this blog probably would not help!

I'll give the last word to Ramanujan - a pretty handy mathematician:

Popcorn Galaxy

Deep Sky Videos is a series of films about astronomy.

We cover all sorts of topics, including a fun series inside the world's biggest and best telescopes.

But our raison d'être is making 110 films about every item in the Messier Catalogue - a series of objects in space listed by the French astronomer Charles Messier.

Here's a video I made about Messier, including a visit to his grave in Paris.

Today we posted our 49th Messier video, all about the galaxy he listed at number 82 (or M82). It's also known as the Cigar Galaxy or NGC 3030, where NGC means New General Catalogue.

The latest video features a comparison between the galaxy's lively core and a bag of microwave popcorn. It features Professor Paul Crowther from the University of Sheffield.

There is also some left-over material I posted in a second video which has some cool stuff about hypervelocity stars.

Newton's Space Wood

The first video in our new "Objectivity" series has been uploaded.

It focuses on Sir Isaac Newton, famous for many things including his work on gravity.

The famous story - which I always thought was apocryphal - is that the idea popped into Newton's head when when saw an apple fall from a tree.

But Keith Moore, head librarian at the Royal Society, now has me believing the story is true.

Keith showed me writings by William Stukely, a contemporary of Newton and a guy who seemed bit of a "Newton fanboy".

Newton (left) and 'fanboy' Stukely

Newton (left) and 'fanboy' Stukely

In the hand-written memoirs - which were never formally published - Stukely recalls having tea with Newton in a London "under the shade of some apple trees".

There Newton recalled how, in earlier years, it was in "the same situation" that he saw an apple "descend perpendicularly", etc, etc

The smoking gun?

The smoking gun?

Newton does not say where the famous fall happened.

But many have assumed it was from an apple tree at Woolsthorpe Manor, in Lincolnshire, where Newton was from.

Certainly the apple tree - still at Woolsthorpe - has taken on legendary status.

The tree at Woolsthorpe Manor is at the far right of this old picture

The tree at Woolsthorpe Manor is at the far right of this old picture

Wood from the tree has been fashioned into various items.

And, as our video explains, a piece from the tree was taken aboard the space shuttle Atlantis for mission STS-132. I guess it was considered a chance to link Newton with space exploration and his role in understanding gravitation.

See more in the video.

And stay tuned for more videos on Objectivity. It's a new project and your support is appreciated.

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Invoking Feynman

A few days ago it was announced Professor Martyn Poliakoff is to receive a knighthood.

We posted a video about it - and the resulting positive comments and warm congratulations have been extraordinary.

I know Martyn has been overwhelmed by it.

But, as to be expected, some people have been critical of the honours system.

Some of these often seem to centre on the system's (slightly misunderstood) link to monarchy.

Fair enough - everyone is entitled to their opinion. And I hasten to add even the "honour critics" have been very kind to Martyn.

I've been reading YouTube comments long enough to have anticipated such comments. And it is the nature of feedback that negativity lodges in the mind more easily

But of particular interest to me is the invocation of Richard Feynman.

I love Feynman as much as the next science nerd - his books, lectures and recorded interviews enthral me.

In one interview he famously said he did not like honours. People latch onto this comment and raise it often.

It certainly plays to Feynman's maverick reputation.

In fact, not long ago, I used the quote myself at the end of video in an anti-honour context!

However there is something many people seem to overlook.

Feynman accepted the Nobel Prize for Physics in 1965 (he was not obliged to take it). 

And - when he took receipt of the golden medal - Feynman made a typically colourful and interesting banquet speech. I recommend reading the whole thing

In it, he points out that honours can bring joy and inspiration to other people - maybe even complete strangers.

If you don't have time to read it, at least let me share Feynman's closing remarks.

"And so, you Swedish people, with your honors, and your trumpets, and your king - forgive me. For I understand at last - such things provide entrance to the heart. Used by a wise and peaceful people they can generate good feeling, even love, among men, even in lands far beyond your own. For that lesson, I thank you."