[10] Fourier

Foundational Questions Institute: Undecidability, Uncomputability, and Unpredictability Essay Contest (2019-2020) Support materials for the submission from Bruce Camber in April 2020.

Determinant becomes unpredictable, uncomputable, and undecidable (PDF)

[1] Decidability
[2] Computability
[3] Predictability
[4] Undecidability
[5] Uncomputability
[6] Unpredictability
[7] First units
[8] Grand reductionism
[9] Triangulation
[10] Fourier
[11] Lorentz
[12] Poincaré spheres
[13] Planckspheres
One second: 299,792± km
[14] Automorphic forms
[16] Aristotle’s Mistake
[17] Fuzzy Universe
[18] Scholars
Background: This FQXi challenge brings into focus the role of sphere and the Fourier transform. Our goal is to have every high school student become able to interpret the Fourier transform for their entire family.

[10] Fourier. The Wikipedia entry for the Fourier transform is formidable. The 2015 article for The New Yorker by Steven Strogatz, Why Pi Matters is a most-special introduction.

Notwithstanding, the most fundamental application of the Fourier is at the Planck base units. Beyond those already mentioned, the work of Rainer Collier,  Quantum Electrodynamics and Planck-Scale (ArXiv, 2017) and Bhupendra Nath Tiwari, On Generalized Uncertainty Principle (ArXiv, 2017) are being examined.