Clockwork Cosmos

In the paper's words

Classical physics operates on the foundational assumption that space and time form a smooth, infinitely divisible continuum. Providing the mathematical scaffolding for calculus, this geometric model allowed early physicists to calculate macroscopic gravitational trajectories with high reliability. When applied to the smallest scales of physical reality, however, this assumption of infinite divisibility generates mathematical contradictions.

The abstract, verbatim, and its opening sentence is the claim. Every line below is quoted from the text.

Numbers it reports

1. When the universe became transparent approximately 380,000 years after the initial singularity, it released electromagnetic radiation.

   from 5.3

How it is done

1. Formulated by Jacob Bekenstein, the Bekenstein bound dictates that a finite region of space can only contain a finite amount of information before collapsing under its own gravitational weight.

   from 1.1 The Illusion of

2. This approach eliminates the ultraviolet divergences that plague standard quantum field theory.

   from 1.2

3. Bekenstein Bound and Informational Limits Information theory establishes fundamental constraints on the physical structure of the universe.

   from 1.3 The

4. The application of Bruhat-Tits trees to quantum mechanics offers a novel approach to understanding entanglement.

   from 1.4 Bruhat-Tits Trees and

What would falsify it

1. This recursive application of geometric rules builds the immense complexity of the observable physical world.

   from 1.2

2. The total amount of information in the observable universe is a finite, calculable number.

   from 1.3 The

3. The geometry of the tree provides a structural link between the quantum realm and the observable world.

   from 1.4 Bruhat-Tits Trees and

Where the claim stops

1. the Archimedean Continuum Classical physics operates on the foundational assumption that space and time form a smooth, infinitely divisible continuum.

   from 1.1 The Illusion of

2. When applied to the smallest scales of physical reality, however, this assumption of infinite divisibility generates mathematical contradictions.

   from 1.1 The Illusion of

3. Current observational technologies cannot directly measure the structural fabric of the universe below the Planck length, leaving the continuous nature of space empirically unverified.

   from 1.1 The Illusion of

Where to read

1. The14 words · 1 min
2. Table of Contents123 words · 1 min
3. PART I: THE4 words · 1 min
4. Chapter 1: The4,991 words · 22 min
5. Chapter5,619 words · 24 min
6. Chapter4,810 words · 21 min
7. PART II:6 words · 1 min
8. Chapter 4:7,514 words · 33 min
9. Chapter 5:5,448 words · 24 min
10. Chapter 6:5,529 words · 24 min
11. PART9 words · 1 min
12. Chapter 7: The5,560 words · 24 min