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: Science
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: […]
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Tagged climate science
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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 […]
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Tagged climate change, rising sea level
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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 […]
Ecofascism and Denialism 101
Introduction 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 specific demographic groups, exhibit distinctive behavioral traits, and reveal the intersection of ideological and scientific ignorance. Background I initially began investigating denialism […]
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Tagged climate change
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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 […]
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Tagged climate change
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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 […]
Also posted in Business, Environment, Finance, Global Warming, weather
Tagged climate change, economy, flood insurance
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Underestimating the Speed of Climate Change
Nonlinear Acceleration, Cascading Feedbacks, and the Compression of Climate Time Daniel Brouse¹ and Sidd Mukherjee²March 10, 2026 ¹Independent Climate Researcher, Economist²Physicist Abstract Recent observations across multiple climate indicators suggest that the impacts of global warming are accelerating faster than previously estimated. We revisit the Nonlinear Acceleration Hypothesis, originally proposed in the early 1990s, which posits […]
Underestimating the Speed of Climate Change
EASY READ VERSION Abstract How fast is climate change accelerating? Our analysis suggests that the observable impacts of global warming are currently increasing at roughly 262^626 (≈64-fold) per decade, implying a doubling time of approximately 2–5 years across multiple climate indicators. This rate is far faster than anything observed during known geological transitions over the […]