It contained two celebrated results nowadays known as the Boltzmann equation and the.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

The fact that such brains do not appear to exist is called the Boltzmann Brain Paradox.    From Wordnik.com.  [Nested Universe - Singularity Blog, Artificial Intelligence, Robotics, Cosmology, Science and Technology] Reference

Some fundamental, yet mathematically complex, equations of statistical mechanics are now known as Boltzmann equations.    From Wordnik.com.  [Boltzmann questions] Reference

(The modern procedure to put these requirements in a mathematically precise form is that of taking the so-called Boltzmann-Grad limit.).    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Here Boltzmann makes an unambiguously anthropic move.    From Wordnik.com.  [Boltzmann’s Anthropic Brain] Reference

Note that Boltzmann stresses the generality, rigor and.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

The 1872 paper contained the Boltzmann equation and the.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Carl Pilkington seems to be a supported of Boltzmann brains.    From Wordnik.com.  [Perceiving Randomness] Reference

Nevertheless, Boltzmann and Ostwald remained friends, and in.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

The Boltzmann brain thesis is still outstanding in some sence.    From Wordnik.com.  [What if Time Really Exists?] Reference

In some cases Boltzmann also argued it was the unique such state.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

The answer to the question is, for the Boltzmann entropy, “no.”.    From Wordnik.com.  [Arrow of Time FAQ] Reference

Boltzmann, another famous atomist, hit upon the same basic scenario.    From Wordnik.com.  [The First Quantum Cosmologist] Reference

Boltzmann equation, in particular to gas diffusion and gas friction.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

It would seem that Boltzmann at least conjectured this as early as 1897.    From Wordnik.com.  [The First Quantum Cosmologist] Reference

The last time Sean blogged thermodynamics, it was about Boltzmann brains.    From Wordnik.com.  [Succumbing to LaTeX] Reference

For Maxwell, and Boltzmann later, this assumption seemed almost self-evident.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

But, returning to Boltzmann, it gets worse, in an interesting and profound way.    From Wordnik.com.  [Boltzmann’s Anthropic Brain] Reference

But we (or at least I, not sure about you) are not individual Boltzmann brains.    From Wordnik.com.  [Boltzmann’s Universe] Reference

In essence, they suggest that Boltzmann somehow silently relied on the ergodic hypothesis.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

You name it, we've got it: spiral galaxies and Art Deco and film noir and Boltzmann brains.    From Wordnik.com.  [RJ Eskow: A Thank-You Note Addressed "To Whom It May Concern"] Reference

The first occasion on which Boltzmann returned to the reversibility objection is in (1887b).    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Personally, I would be more worried about a random fluctuation bashing my Boltzmann brain out.    From Wordnik.com.  [Talk Like a Physicist Day] Reference

Pre-Boltzmann, entropy was thought of as a measure of the uselessness of arrangements of energy.    From Wordnik.com.  [Boltzmann’s Anthropic Brain] Reference

Assuming that the Boltzmann equation is valid for all times, one can prove without difficulty the.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Thinking about Boltzmann-style fluctuations has convinced most of us that it is not what happened.    From Wordnik.com.  [The Arrow of Time in Scientific American] Reference

Maybe the moon has been eaten by a Boltzmann brain and reappeared on a different brane in the meantime.    From Wordnik.com.  [Quantum Hyperion] Reference

Note that Boltzmann formulates this hypothesis for an arbitrary body, i.e., it is not restricted to gases.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Boltzmann claimed that no approach in natural science that avoids hypotheses completely could ever succeed.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

In discussing the use of the Stefan-Boltzmann law, and its important constant, in climate science, he claims.    From Wordnik.com.  [The Perils of Poor Science Journalism] Reference

Thus, as in his 1866 paper, Boltzmann claims to have a rigorous, analytical and general proof of the Second Law.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

The Boltzmann brain is something which comes about from a large number of possible configurations in an equilibrium system.    From Wordnik.com.  [What if Time Really Exists?] Reference

Klein argues that Boltzmann only came to acknowledge the existence of such exceptions thanks to Loschmidt's critique in 1877.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Boltzmann knew that the standard probability distribution was invariant under time evolution given the dynamics of the systems.    From Wordnik.com.  [Philosophy of Statistical Mechanics] Reference

Regarding Loschmidt (“How can you get the T-violating Boltzmann equation from T-reversal invariant dynamics?”), see comments.    From Wordnik.com.  [Arrow of Time FAQ] Reference

In the case of Ostwald, and his ˜energetics™, Boltzmann did become involved in a more heated dispute at a meeting in Lübeck in 1895.    From Wordnik.com.  [Boltzmann's Work in Statistical Physics] Reference

Note that Boltzmann, despite not knowing about quantum mechanics, did not have to resort to a “swerve” to get statistical fluctuations.    From Wordnik.com.  [The First Quantum Cosmologist] Reference