Roman Concrete, Brain "Cognitive Legos," DeepSeek, and Econophysics

Date

Jan 12, 2026

Hosted by Lester Nare and Krishna Choudhary, this episode jumps from ancient engineering to modern AI and markets. We start with the newly uncovered Pompeii worksite that finally shows how Romans mixed their concrete and why it "self-heals." Then we pivot into a Princeton neuroscience idea that the brain builds complex thought like LEGO bricks (compositional neural subspaces). From there, we break down DeepSeek's "manifold-constrained hyperconnections" as a stability mechanism for scaling deep nets. And we close with econophysics: a Physical Review Letters result arguing the square-root law of market impact is strictly universal across stocks and time.

Featured Research

mHC: Manifold-Constrained Hyper-Connections

Episode 21

mHC stabilizes Hyper-Connections by constraining residual mixing onto a manifold that restores identity-like signal flow, enabling more reliable large-scale training with modest overhead.

Large Language Models

Neural Network Architecture

Deep Learning

AI

arXiv.org

Jan 5, 2026

mHC: Manifold-Constrained Hyper-Connections

Episode 21

mHC stabilizes Hyper-Connections by constraining residual mixing onto a manifold that restores identity-like signal flow, enabling more reliable large-scale training with modest overhead.

Large Language Models

Neural Network Architecture

Deep Learning

AI

arXiv.org

Jan 5, 2026

mHC: Manifold-Constrained Hyper-Connections

Episode 21

mHC stabilizes Hyper-Connections by constraining residual mixing onto a manifold that restores identity-like signal flow, enabling more reliable large-scale training with modest overhead.

Large Language Models

Neural Network Architecture

Deep Learning

AI

arXiv.org

Jan 5, 2026

mHC: Manifold-Constrained Hyper-Connections

Episode 21

mHC stabilizes Hyper-Connections by constraining residual mixing onto a manifold that restores identity-like signal flow, enabling more reliable large-scale training with modest overhead.

Large Language Models

Neural Network Architecture

Deep Learning

AI

arXiv.org

Jan 5, 2026

Strict Universality of the Square-Root Law in Price Impact across Stocks: A Complete Survey of the Tokyo Stock Exchange

Episode 21

Using complete account-level trading data across all liquid TSE stocks over eight years, the authors find the market-impact exponent is statistically consistent with 1/2 at both stock and trader levels—strong evidence for strict universality of the square-root law.

Statistical Physics

Market Microstructure

Quantitative Finance

Econophysics

Physical Review Letters

Dec 15, 2025

Strict Universality of the Square-Root Law in Price Impact across Stocks: A Complete Survey of the Tokyo Stock Exchange

Episode 21

Using complete account-level trading data across all liquid TSE stocks over eight years, the authors find the market-impact exponent is statistically consistent with 1/2 at both stock and trader levels—strong evidence for strict universality of the square-root law.

Statistical Physics

Market Microstructure

Quantitative Finance

Econophysics

Physical Review Letters

Dec 15, 2025

Strict Universality of the Square-Root Law in Price Impact across Stocks: A Complete Survey of the Tokyo Stock Exchange

Episode 21

Using complete account-level trading data across all liquid TSE stocks over eight years, the authors find the market-impact exponent is statistically consistent with 1/2 at both stock and trader levels—strong evidence for strict universality of the square-root law.

Statistical Physics

Market Microstructure

Quantitative Finance

Econophysics

Physical Review Letters

Dec 15, 2025

Strict Universality of the Square-Root Law in Price Impact across Stocks: A Complete Survey of the Tokyo Stock Exchange

Episode 21

Using complete account-level trading data across all liquid TSE stocks over eight years, the authors find the market-impact exponent is statistically consistent with 1/2 at both stock and trader levels—strong evidence for strict universality of the square-root law.

Statistical Physics

Market Microstructure

Quantitative Finance

Econophysics

Physical Review Letters

Dec 15, 2025

An unfinished Pompeian construction site reveals ancient Roman building technology

Episode 21

Pompeii evidence shows Romans "hot-mixed" quicklime with dry pozzolan, creating lime clasts that later feed crack-healing chemistry—explaining the durability of Roman concrete.

Materials Durability

Archaeology

Cement Chemistry

Roman Concrete

Nature Communications

Dec 9, 2025

An unfinished Pompeian construction site reveals ancient Roman building technology

Episode 21

Pompeii evidence shows Romans "hot-mixed" quicklime with dry pozzolan, creating lime clasts that later feed crack-healing chemistry—explaining the durability of Roman concrete.

Materials Durability

Archaeology

Cement Chemistry

Roman Concrete

Nature Communications

Dec 9, 2025

An unfinished Pompeian construction site reveals ancient Roman building technology

Episode 21

Pompeii evidence shows Romans "hot-mixed" quicklime with dry pozzolan, creating lime clasts that later feed crack-healing chemistry—explaining the durability of Roman concrete.

Materials Durability

Archaeology

Cement Chemistry

Roman Concrete

Nature Communications

Dec 9, 2025

An unfinished Pompeian construction site reveals ancient Roman building technology

Episode 21

Pompeii evidence shows Romans "hot-mixed" quicklime with dry pozzolan, creating lime clasts that later feed crack-healing chemistry—explaining the durability of Roman concrete.

Materials Durability

Archaeology

Cement Chemistry

Roman Concrete

Nature Communications

Dec 9, 2025

Building compositional tasks with shared neural subspaces

Episode 21

The study shows that monkeys flexibly switch tasks by reusing shared, low-dimensional "neural subspaces" for sensory features and actions, composing them differently depending on the current task.

Decision-Making

Representation Learning

Cognition

Neuroscience

Nature

Nov 26, 2025

Building compositional tasks with shared neural subspaces

Episode 21

The study shows that monkeys flexibly switch tasks by reusing shared, low-dimensional "neural subspaces" for sensory features and actions, composing them differently depending on the current task.

Decision-Making

Representation Learning

Cognition

Neuroscience

Nature

Nov 26, 2025

Building compositional tasks with shared neural subspaces

Episode 21

The study shows that monkeys flexibly switch tasks by reusing shared, low-dimensional "neural subspaces" for sensory features and actions, composing them differently depending on the current task.

Decision-Making

Representation Learning

Cognition

Neuroscience

Nature

Nov 26, 2025

Building compositional tasks with shared neural subspaces

Episode 21

The study shows that monkeys flexibly switch tasks by reusing shared, low-dimensional "neural subspaces" for sensory features and actions, composing them differently depending on the current task.

Decision-Making

Representation Learning

Cognition

Neuroscience

Nature

Nov 26, 2025

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