Independent assessment · Shared progress
200 years of energy theory.
A new way to use it.
Support the CarnotX Initiative
A small change in how we use the foundations could have large consequences for energy technology.
Thermodynamic cycle theory helps define the maximum theoretical performance of combustion engines, power plants, heat pumps and refrigeration systems. How we teach and apply that theory matters—from textbooks and research to everyday engineering decisions.
The CarnotX Initiative proposes a broader way to formulate reversible-cycle problems. Familiar efficiency and COP formulas provide particular answers; our ambition is to make the full range of admissible reversible solutions accessible, including work, heat quantities and temperatures. The proposed parent reversible-cycle benchmark framework turns the established Clausius reversible-cycle equality, together with energy balance and explicit cycle conditions, into a configurable method for both isothermal and non-isothermal configurations.
The resulting physical references can support comparisons with actual, irreversible cycles. They also provide a basis for applications such as Thermal Matching: exploring cycle optimization by coordinating the thermal behaviour of the heat-releasing and heat-receiving bodies. Actual performance and achievable improvements depend on the real system’s losses and engineering constraints.
From a specific formula to a general method
For a square, A = b2. For a rectangle, A = l × b — with the square retained as the special case where l = b. This simple analogy illustrates our ambition for cycle theory: make a broader method usable while preserving the familiar Carnot formulas within their exact domain. Explore the analogy →
The derivations underlying the proposed method are documented in the Formal Core Specification, providing a basis for independent scientific assessment.
Through the proposed five-day international workshop Beyond Carnot: Operationalizing Clausius at the Lorentz Center at Leiden University, we aim to bring researchers together to test the method, compare existing approaches and establish what it adds.
This question deserves rigorous, independent scrutiny. Where that assessment demonstrates substantive advances, scientific explanation, education and engineering practice should reflect them.
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Help put the proposed method to the test. Contribute expertise, resources or an application question; connect us with potential partners; or explore funding and media contact.
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