A Fresh Thermodynamic Lens on the Collatz Conjecture: The Collatz conjecture remains one of mathematics’ most deceptively simple unsolved problems: start with any positive integer, repeatedly apply “divide by 2 if even, or 3n+1 if odd,” and you’ll e...

White Paper1 The Musical Fingerprint of the Collatz Conjecture: Listening for the 4-2-1 Loop. Mathematics is full of simple puzzles, but none are as notorious as the Collatz Conjecture. Pick a number: if it’s even, halve it; if odd, triple it and a...

White Paper:1 https://jmullings.github.io/TheAnalystsProblem/HPHCERTIFICATION.html We present the third instalment of a systematic operator-theoretic programme toward the Riemann Hypothesis. Building on prior works establishing an algebraic singula...

Presenting "The Analyst's Problem: Hilbert Operator"... My paper develops a functional-analytic framework for encoding smoothed Dirichlet energy associated with the Riemann zeta function into a single compact, self-adjoint operator on a separable Hi...

AI Slop or Not? Certifying the Sech⁴ Kernel Against Bochner's and Mercer's Theorems I posted three equations to social media with one question underneath: does kH perfectly satisfy Bochner's and Mercer's theorems? Half the responses assumed it was A...

We've all seen it! The post in the early hours of the morning! I've done this, I've found that - “I solved the Riemann Hypothesis!” You take a quick peek! Another one. Another late-night manifesto. Another graph that looks convincing. You’ve been...

What does it mean for something in this world to be “real”? Do zeros in general really exist, or are they artefacts of how we choose to look at a number, functions or the absence of a set? Does the “critical line” in the Riemann Hypothesis even exist...

Just Browsing: https://jmullings.github.io/WhatsThePoint/ThreePoints.html1 A true Mathematician: https://github.com/jmullings/WhatsThePoint/blob/main/ThreePoints.py2 Want to expand your perspective - then read-on: It could be argued, We define an ...

A Slice of Pi: Transcendental Indexing The quest to compute Pi has long been the Mount Everest of computational mathematics. For decades, the approach was straightforward: calculate digits sequentially, store them on massive hard drives, and pray t...

Reaching Quantum Precision in the Classical Three-Body Problem By Jason A. Mullings, BSc For centuries, the three-body problem has symbolized the limits of prediction in classical physics. It asks a simple question: given three masses attracting on...

The digital town criers are shouting from every corner of the internet. A new god is born, they say, and its name is AI. It will cure disease, solve climate change, write our novels, and probably do our taxes. The hype cycle has reached a deafening, ...

The Password Paradox in Code We've long known that human predictability undermines security. Users think they're clever, changing Password to P@ssw0rd or Summer2024 to Summer2024!, but these "special characters" are just predictable rules that make...

Readme.md: Abstract This article delves into one of the most critical, yet often overlooked, aspects of sustainable careers in the IT industry: work-life balance, specifically through the lens of 100% remote work. Drawing from a personal three-year ...