Approaching Singularity: Third Derivatives, Nonlinear Collapse, and Coupled Climate–Economic Instability Advances in technology, modeling, and artificial intelligence have significantly improved our ability to understand and track the accelerating dynamics of climate change. These tools have provided new insight into how quickly complex systems can evolve—and how difficult it may be to keep pace with that […]
Category Archives: Environment
How Not to Be a Jerk: Third Derivatives and the Singularity of Climate Change
d³I/dt³ > 0 In physics, this phenomenon is known as “jerk”, representing the rate of change of acceleration. Its presence is a hallmark of systems undergoing rapid nonlinear transitions, where acceleration itself is increasing. In the context of climate, this indicates that the Earth system is approaching nonlinear instability. Such behavior raises a significant probability […]
The Third Derivative and Climate Acceleration
Why Change Is Increasing Faster Over Time by Daniel Brouse March 25, 2026 1. What Is a Second Derivative? In calculus, the first derivative measures the rate of change of a quantity. The second derivative measures how that rate of change itself is changing. In simple terms: 2. Mathematical Definition If we define a function: […]
Emergent Climate Dynamics: The Nonlinear Acceleration of Climate Impacts
Daniel Brouse and Sidd MukherjeeMarch 25, 2026 1. Introduction Sea-level rise (SLR) is one of the clearest indicators of the nonlinear acceleration of climate impacts. Observational data from tide gauges and satellite altimetry show that SLR is increasing; critically, however, the rate of acceleration is itself increasing, resulting in rapidly shrinking doubling times. Importantly, SLR […]
A Unified Energetics Framework for Accelerating Climate Change
From Radiative Forcing to Drag Physics By Daniel Brouse and Sidd MukherjeeMarch 24, 2026 Abstract This paper presents a physics-based framework for understanding anthropogenic climate change through energy balance, rate dynamics, and force scaling. While the radiative basis of global warming is well established, we argue that the most critical—and underappreciated—dimensions of climate change lie […]
Denialism and Ecofascism in Online Climate Discourse: A Case Study
AbstractThis study investigates patterns of climate denialism and ecofascism in online discourse, analyzing several thousand interactions with English-language climate change posts and comments. By systematically coding behaviors and rhetoric, this research identifies demographic patterns, behavioral characteristics, and ideological markers associated with denialist and ecofascist individuals. Findings indicate that these forms of discourse are dominated by […]
The Climate Discount: Underestimating the Decline in Real Estate Values
Nonlinear Acceleration, Cascading Feedbacks, and the Compression of Climate Time Daniel Brouse¹ and Sidd Mukherjee²March 11, 2026 ¹Independent Climate Researcher, Economist²Physicist Abstract Recent observations across multiple climate indicators confirm that the impacts of global warming are accelerating at a nonlinear rate. We revisit the Nonlinear Acceleration Hypothesis, originally proposed in the early 1990s, which posits […]
Climate Change: Is It Too Late?
Well, no. It will never be too late. That is the part the ecofascists are depending on. The physics limits warming to roughly +9°C. At that level, much of the planet would be uninhabitable — oceans would rise dramatically, heat extremes would make large regions lethal to humans, freshwater scarcity would be widespread, and agricultural […]
Anthropogenic Global Warming 101
A Primer on Physics, Evidence, and Acceleration Daniel BrouseMarch 3, 2025 Introduction This is a foundational course in anthropogenic climate change. It is not ideological. It is not partisan. It is based on physics, chemistry, and observational data. At the end, there will be a short test. 1. What Is the Cause of Anthropogenic Climate […]
Introduction to Ozone and Climate Change
by Daniel Brouse March 6, 2026 Ozone is a major contributor to climate change. It is also a significant threat to both plant and human health. In the early 2000s, I became interested in ozone pollution and its relationship to climate change. Over the following decade, I began studying what I refer to as the […]