Physics • Machine Learning • Curiosity
Welcome to Tensors & Quarks
Exploring the cosmos of physics and the depths of machine learning with hands-on experiments, notes, and essays.
Latest Posts
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From Intuition to Axiom: The Story of an AI That Learned to Prove
Mathematics has always been the ultimate test of structured reasoning. While large language models (LLMs) like GPT-4 or DeepSeek can reason through complex text, they often stumble where human mathematicians shine — constructing airtight, verifiable proofs.
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Hidden Whispers: How AI Models Secretly Pass On Their Traits
What if your AI model could inherit its parent’s quirks — even through meaningless data? Anthropic’s 2025 paper “Subliminal Learning” reveals how that happens — and why it changes everything about AI safety.
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From Prompts to Proofs: Can ChatGPT Pass the Gödel Test?
ChatGPT has become a part of our daily lives in ways we could not have imagined just a few years ago. From writing emails and polishing presentations to generating working code for side projects, it has become a universal assistant. But beyond these everyday tasks, what are the true capabilities of models like ChatGPT and its successors? Can they go beyond imitating human output and actually contribute to fields that demand creativity and rigor—like mathematics? This question is at the heart of a recent research paper, Gödel Test: Can Large Language Models Solve Easy Conjectures? published just a week ago. The paper does not ask whether large language models can memorize or recall results, but whether they can engage in something far more ambitious: creating new mathematics. In this blog, I want to walk through what the paper does, why it matters, and what it means for the future of artificial intelligence and mathematical discovery.
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Why the Higgs Discovery Was Physics’ Greatest Detective Story
Precursor: Why the Higgs Story Matters
For more than half a century, physicists chased one gap in an otherwise triumphant theory. The Standard Model (SM) precisely describes quarks and leptons and the forces among them, yet it left a conceptual hole: why are the W and Z bosons heavy while the photon is massless? The Higgs mechanism answered this by positing a scalar field that permeates all of space. Particles interacting with this field acquire mass; particles that do not remain massless. Fluctuations of the field appear as a new particle—the Higgs boson.
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Life: A Cosmic Fluke or a Common Spark?
One of the most fundamental questions in astrobiology is whether life is common in the universe. The Earth provides an encouraging clue: fossil evidence suggests that life began relatively quickly after our planet became habitable. A naïve interpretation of this fact is that abiogenesis, the origin of life from non-living chemistry, is easy and should occur rapidly wherever conditions are right. Yet this reasoning runs into a major complication: the emergence of intelligent observers like us took almost the entire span of Earth’s habitable history. If intelligence is slow, then life had to begin early on Earth, otherwise we would not exist at all. This selection effect makes early life a weak indicator of rapid abiogenesis unless intelligence is modeled explicitly alongside it.
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