Ask questions Quote by Lee Smolin
““Quantum theory, in turn, has its own trouble with infinities. They appear whenever you attempt to use quantum mechanics to describe fields, like the electromagnetic field. The problem is that the electric and magnetic fields have values at every point in space. This means that there are an infinite number of variables (even in a finite volume there are an infinite number of points, hence an infinite number of variables). In quantum theory, there are uncontrollable fluctuations in the values of every quantum variable. An infinite number of variables, fluctuating uncontrollably, can lead to equations that get out of hand and predict infinite numbers when you ask questions about the probability of some event happening, or the strength of some force.””
About This Quote
Source Lecture: Quantum Field Theory Challenges, 2015
Quantum field theory faces infinities because fields have values at every point, creating infinitely many fluctuating variables that can produce divergent predictions.
In simple terms: Infinite variables cause divergent predictions.
Key Takeaway
Address infinities via renormalization or new frameworks.
Themes
physics
theory
infinities
quantum mechanics
Mood
analytical
concerned
Type
scientific
technical
When to use this quote
- research
- advanced physics education
- theoretical modeling
Key Concepts
renormalization
effective field theory
UV cutoff
Questions to Reflect On
- How can we reformulate fields to avoid infinities?
- What alternative approaches exist beyond renormalization?
A Different Perspective
Renormalization may not fully resolve all divergences.
