Planck-scale physics is more than a hundred years old. Physics is starting to take it seriously. This is great because we can hope for exciting new science and technology to drive a new economy. Planck scale is the incredibly tiny scale at which physics actually happens. It is the scale at which space no longer […]
Tag Archives: mathematics
A new look at the tiny photon answers some vexing questions and offers a big opportunity.
Albert Einstein introduced the photon to the world more than 100 years ago. Though physicists doubted—even ridiculed—his idea for years, it set off a scientific revolution. The photon now underpins foundations of the world economy. Yet to this day it is a mystery. Even when we know a photon has gone from A to B […]
Understanding Planck-scale physics gives us evidence that we have free will
Physics has long been said to say we have no free will. Up close and dirty this is a false argument. And the whole issue is on the brink of fundamental change. A deeper grasp of physics brings together many threads to explain free will. In a recent article in The Atlantic Steven Cave says: […]
If There Are 9 Space Dimensions Why Do We See 3?
Why does our universe have three space dimensions? As if that question is not tough enough, string theory says that it has nine. So why do we see three? Some say there will never be an explanation, that it is just a “brute fact”. Others say this is one of the ultimate questions and that […]
Taking Lessons from the Universe
Arithmetic is fundamental to science; but we tend to take it for granted. Few realize its foundations are shaky. Now there are exciting ways to firm them up. We are sold a knowledge pyramid like this: Sciences rest on a foundation of physics; physics on math; math on arithmetic. And arithmetic on logic— but, actually, […]
Is Our World Analog or Digital
We need new physics; and new physics needs new math. It won’t be easy but it is a huge opportunity. More than a hundred years ago physics chose to assume the universe is analog. It is now becoming clear that this is wrong: our universe is digital. We took a wrong turn that is having […]
The Next Scientific Revolution
Breaking news: We are seeing a new Scientific Revolution. It will be the biggest ever. And I mean ever. Odds on it will be called “the Planck revolution”. Does German physicist Max Planck deserve this? I don’t think so. I think of it as the Riemann revolution. Readers know that more than 150 years ago […]
No Number is Very Large
This week we venture into mathematical philosophy to shine a light on some long-standing mind benders that maybe we can now resolve. And they turn out to be profoundly practical. Does infinity exist or is it a figment of imagination? Are numbers a property of the universe that we discover or are they ideas we […]
Nineteen of Twenty
Nineteen times out of twenty. We come across these numbers almost daily in the news. But behind them there’s an old problem. In the 1800s British Prime Minister Benjamin Disraeli famously said that there are lies, damned lies and statistics. Or so American author Mark Twain claimed. Too bad for his story that Disraeli died […]