Science Seen **Time One author Colin Gillespie helps you understand the physics of your world.**

# Einstein and the Death of Physics

Motion is smooth, as any eye can see. In 1738, Scottish philosopher David Hume could―with little chance of challenge―say: ‘The infinite divisibility of space implies that of time, as is evident from the nature of motion.’ But physics now knows that, at scales far smaller than an atom, space isn’t smooth and motion must work in jerks. How will physics come to terms with this new picture?

In the 1600s, English physicist and mathematician Isaac Newton and German mathematician and philosopher Gottfried Leibniz independently invented math for smooth space, smooth time and smooth motion. Three centuries later Albert Einstein may have been the first to figure out that space may be made of tiny bits (quanta; *Time One* calls them flecks) that cannot be divided. Once you get your head around this, lots of things make sense but physics as we know it becomes history. Einstein figured that out too. In 1954 (less than a year before he died) he wrote to his friend Michele Besso:

*I consider it entirely possible that physics cannot be based upon … continuous structures. Then nothing will remain of my whole castle in the air including the theory of gravitation, but also nothing of the rest of contemporary physics.*

Many heavy dudes have since agreed. One of them, American physicist Lee Smolin, says:

*Almost all of us who work in theoretical physics have failed to live up to Einstein’s legacy. His demand for a coherent theory of principle was uncompromising. It has not been reached—not by quantum theory, not by special or general relativity, not by anything invented since. Einstein’s moral clarity, his insistence that we should accept nothing less than a theory that gives a completely coherent account of individual phenomena, cannot be followed unless we reject almost all contemporary theoretical physics as insufficient.*

So what’s the problem that some say is killing physics? In 1917 (the year after his now-famous paper on general relativity, *which like almost all contemporary physics is based on a continuum*) Einstein wrote to a former student:

*The problem seems to me how one can formulate statements about a discontinuum without resorting to a continuum (space-time)… But for this we unfortunately are still lacking the mathematical form. How much I have toiled in this direction already!*

Understanding the granularity of space is, he said, ‘devilishly difficult’. And flecks are so small there is no way to *see* them with even the best subatomic tools. But he didn’t say that we can’t *see* them; he said we don’t have the math. And since his time, as Smolin says, most physicists tend to be steered by math rather than to steer it by principle. Among those few who clearly choose to steer by principle, I’ll mention Greek physicist Fotini Markopoulou, Italian physicist Carlo Rovelli and, yes, American physicist Lee Smolin as pioneers of math and physics in the discontinuum with names like causal sets and loop quantum gravity.

Ninety-nine years ago general relativity joined quantum theory as Einstein’s main (and mutually inconsistent) legacy to physics. Is physics dying thanks to these two theories that, before he died, he saw as relics of the past? Or is it―thanks to him if today’s physicists heed his view of the future―looking for another leap in understanding?

**Sources**

David Hume (1738), *A Treatise Of Human Nature: Being an Attempt to Introduce the Experimental Method of Reasoning into Moral Subjects *, London: John Noon, para. 1.2.2.5, p. 31; http://www.davidhume.org/texts/thn.html or http://www.gutenberg.org/ebooks/4705

Albert Einstein (1954), letter to Michele Besso, 10 August 1954, *Albert Einstein Archives*, The Hebrew University of Jerusalem, doc. 7-421; see also Colin Gillespie (2013), “The Curse of Continuity”, in *Time One: Discover How the Universe Began*, New York: RosettaBooks, p. 215, http://www.rosettabooks.com/book/time-one/, excerpt at http://www.timeone.ca/chapters/the-curse-of-continuity.pdf

Lee Smolin (2004), “Einstein’s Lonely Path: Surprisingly few theorists have the courage to emulate the master of modern physics”, *Discover Magazine*, Waukesha WI: Kalmbach Publishing, September; http://discovermagazine.com/2004/sep/einsteins-lonely-path

Albert Einstein (1917), letter to Walter Dällenbach, in *The Collected Papers of Albert Einstein*, Ann Hentschel (tr.), Princeton: Princeton University Press, vol. 8, p. 286; see also, Sabine Hossenfelder (2010), “Einstein on the discreteness of space-time”, http://backreaction.blogspot.ca/2010/10/einstein-on-discretenes-of-space-time.html

**A sampler of other reading (technical, but you can get the drift):**

Carlo Rovelli & Lee Smolin (1995), “Discreteness of Area and Volume in Quantum Gravity”, *Nucl. Phys.*, Cambridge MA: Elsevier, vol. B442, p. 593; http://arxiv.org/pdf/gr-qc/9411005v1.pdf

Fotini Markopoulou (1999), “The internal description of a causal set: What the universe looks like from the inside”, http://arxiv.org/abs/gr-qc/9811053

Fotini Markopoulou & Lee Smolin (2004), “Quantum Theory from Quantum Gravity”, *Phys. Rev. D*, vol. 70, 124029; http://arxiv.org/abs/gr-qc/0311059

Fotini Markopoulou (2012) “The Computing Spacetime”, http://arxiv.org/abs/1201.3398

Carlo Rovelli (2013), “Relative Information at the Foundation of Physics”, http://arxiv.org/abs/1311.0054

Many physicists have expressed concerns about the future of physics. The two examples quoted here are not necessarily representative. Smolin went so far as to write a book about his views (The Trouble With Physics, focused mainly on string theory). Your question, what do I mean by ‘the death of physics’, is a fair one. I’ve used the phrase here as shorthand to embrace all such concerns — the authors of which speak variously for themselves as to what they mean — and to ask a general question, which I have left open. In an upcoming post I’ll consider how seriously we should take some of these concerns and I’ll leave little doubt about my own view.

In his famous essay, The Mathematician, the great polymath John Von Neumann, states that a great advantage physics has over mathematics is that the open problems of physics are obvious, and their urgency is evident to all. The gulf between the theory of gravitation and General Relativity serves only to show us the urgency of this very OPEN problem. How it is that we infer from the incompleteness of the solution that physics is dying, is completely beyond me. At worst, inferring the death of physics on the basis of a incomplete solution makes us sound like fundamental creationists proclaiming that the theory of evolution is wrong simply because it too contains obvious and urgent paradoxes. What exactly does the writer mean when he says: physics is dying?

Von Neumann further said that it is the nature of mathematics that often, 50 or even a hundred years before the utility of a mathematical concept is first discovered. Following this stream of thought, it is not difficult for me to imagine that lying in some dead mathematicians drawer somewhere, is an elegant solutions to science’s most pressing problem: a giant leap towards the Theory of Everything.