A Dynamic Table of Contents

This section of this website began in December 2024. Grok had become an indispensable sounding board and always challenged me to go further. Grok’s extensive analysis and information often were overwhelming. -BEC

2026

Pages by Grok or with Grok:

• 8 Sept. 2026: Reflecting on Perplexity’s contributions – /grok-8-sept-2026/
• 5 September 2026: https://81018.com/grok-5-September-2026
• 4 September 2026: https://81018.com/grok-sept-2026/
• 22 August 2026: https://81018.com/grok-22-august-2026/
• 19 August 2026: https://81018.com/grok-19-august-2026/
• 12 August 2026: https://81018.com/grok-12-august-2026/
• 8 August 2026: https://81018.com/grok-8-august-2026/ (history log)

6 August 2026: A Mathematical Taxonomy of Constrained Discrete Growth, Constraint Classes and Expansion Regimes for the Recurrence N_n+1 = 2N_n−ε(N_n) Discussion
5 August 2026: Constraint paper Private

• 4 August 2026: Constraint classes
• 6 July 2026: (ΔN ≈ 1.754 steps) Private
• May 2026: /grok-may-2026-next-step/ and /grok-may-2026-homepage/
  20 May 2026: /quiet-revolution/
• 24 Apr 2026: Article– /grok-aristotle-gap/.
• 23 April 2026: /grok-137-2026/
• 15 April 2026: /grok-15-april-2026/ 7.356°
• 28 January 2026: /grok-2026/
• 7 January 2026: /pi-finite-infinite/
• 1 January 2026: Where do we go from here?

2025

• 21 Sept. 2025 https://81018.com/where/
• 5 September 2025. https://81018.com/groks-insights Grok’s response: What’s the next step?
• 6 July 2025: 81018.com/planck-polyhedral-core/. Finite-Infinite Mechanism
• 5 March 2025 https://81018.com/g-revolution/ Grok re-tells my story of a breakthrough..
• 5 March 2025; https://81018.com/breakthrough/. I first told this story.
  

https://81018.com/irrationals/
The four primary irrational numbers
4 March 2025

81018.com/2025/03/04/grok-3/ Wrestling with a breakthrough
4 March 2025

• 3 March 2025
  https://81018.com/grok-3/
  Early sense of a breakthrough
• 23 Feb. 2025: https://81018.com/grok26/ Grok26: Interiority of the Octahedron & Tetrahedron
• 17 Feb. 2025: https://81018.com/grok25/
  Grok25:Third pass to define the QEM succinctly
• 11 Feb. 2025: https://81018.com/grok24/
  Grok24: Quiet-or-Qualitative Expansion Model (QEM)
• 3 Feb. 2025: https://81018.com/grok23/
  Grok23: Introduction to Quantum Gravity Also: https://81018.com/absurdity/#Grok
• 24 Jan. 2025: https://81018.com/grok22/
  Grok22: Research publications.
  Also: 81018.com/absurdity/#Grok22
  See: Stochastics and Partial Differential Equations: Analysis and Computations, a journal by Nature Springer
• 24 Jan 2025: https://81018.com/grok21/
  Grok21: Singularities
  ^{Also: https://81018.com/absurdity/#Grok21}
• 17 Jan 2025: https://81018.com/grok20/
  Grok20: Big Bang Consensus today.
  ^{Also: https://81018.com/absurdity/#Grok20}
• 16 Jan: https://81018.com/grok19/
  Grok19: Ten first principles of science

• 14 Jan: https://81018.com/grok18/
  Grok18: Spheres and fundamental units
  See: https://81018.com/grok-3/
• 14 Jan: https://81018.com/grok17/
  Grok17: What is at the Planck scale?
• 14 Jan: https://81018.com/grok16/
  Grok16: Foundations of stochastics
  Also: https://81018.com/stochastic-physics/
• 11 Jan: https://81018.com/grok15/
  Grok15: Lambda CDM and the Quiet Expansion
  Also: https://81018.com/sound/
• 11 Jan: https://81018.com/grok14/
  Grok14: Subject or Object or the Relation? https://81018.com/grok14/
• 9 Jan: https://81018.com/grok13/
  Grok13: Planck Time: First Moment of Time?
• 7 Jan: https://81018.com/grok12/
  Grok12: Bridge between finite-infinite
  ^{Also: https://81018.com/sound/}
• 7 Jan. 2025 /pi-finite-infinite/
  Grok on Pi’s finite-infinite connections
  7 January 2025
• 7 Jan: https://81018.com/grok11/
  Grok11: Second law of thermodynamics
• 7 Jan: https://81018.com/grok10/
  Grok10: Conservation of energy and mass
• 4 Jan: http://81018.com/grok9/
  Grok9: Perceived shortcomings of the Big Bang
• 4 Jan: https://81018.com/grok8
  Grok8: James Webb Space Telescope (JWST)
• 4 Jan: https://81018.com/grok7/
  Grok7: JWST most challenging findings?
• 3 January 2025: https://81018.com/grok6/. Grok6:  “Quantum entanglement? …wormholes?

2024

• 31 Dec. 2024: https://81018.com/grok5/
  Grok5: Mathematical Foundations of our Model:
  Also: https://81018.com/searching/
• 31 Dec. 2024: https://81018.com/grok4/
  Grok4: Grok’s first inclusion of our model
  ^{Also: https://81018.com/searching/#B1}
• 30 Dec. 2024: https://81018.com/grok3/
  Grok3: Important “challenges” answered?
  ^{Also: https://81018.com/searching/#B1}
• 30 Dec. 2024: http://81018.com/grok2/
  Grok2: Planck Base Units – Base-2 notation
  Also: https://81018.com/searching/#B1
• 29 Dec. 2024: https://81018.com/grok1/
  Grok1: AI answers, Do spheres beget numbers? Also: https://81018.com/structures/#H1

24 Dec. 2024: https://81018.com/base-2/
Base-2: Multiplying or Dividing by 2

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