Daniel Brouse¹ and Sidd Mukherjee²March 2026 ¹Independent Climate Researcher, Economist²Physicist Abstract A singularity in physics describes a regime in which governing equations break down, often producing non-physical or undefined results such as infinities. While true singularities are rare in real-world systems, many complex systems exhibit singularity-like behavior as they approach critical thresholds characterized by nonlinear […]
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Approaching Singularity: Third Derivatives, Nonlinear Collapse, and Coupled Climate–Economic Instability
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Climate and Economic Singularity (Very Simple Version)
Daniel Brouse¹ and Sidd Mukherjee²March 2026 Big Idea Some systems look stable… until they suddenly aren’t. In science, a singularity is when our math and predictions stop working well. It might look like things are going to “infinity,” but in real life, that doesn’t actually happen. Instead, it means: This paper says that both the […]
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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 […]
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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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“More Winning?” Trump’s Record Baby Bombing
The Human Cost of the 2026 Iran Conflict: Child Casualties and U.S. Military Losses “Promises made, mothers wept.” The 2026 escalation of hostilities in the Middle East has produced an unprecedented spike in civilian casualties, particularly among children. Modern conflicts involving the United States have not seen child casualty figures of this magnitude in such […]
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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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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 […]
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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 […]