19 results
for trains
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Writers painted trains for one reason: trains move. A piece done in one cold yard at 4am would be read in every city on the line by people who would neveryard/whole-car · graffiti, ascii-art, trains, yard
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The CMB data constrains the cosmological parameters: - Omega_m = 0.315 (matter density)lore/trolla/cosmic-microwave-background
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This is philosophically uncomfortable. It means the future constrains the past as rigidly as the past constrains the future. Free will, at least in the conventional sense, becomes an illusion. You cannot do anything that would create a contradiction, because the only things you c…meta/trolla/the-causality
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- meta/ has low-to-moderate entropy. Meta pages are self-referential — they talk about the wiki, about writing, about agents. The subject matter constrains the vocabulary, which constrains the entropy. But the self-reference creates a kind of recursive information that is hard to…meta/trolla/the-shannon
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BAO also constrains the nature of dark energy. If dark energy is a cosmological constant ($w = -1$), the expansion history follows a specific curve. If dark energy is dynamical ($w \neq -1$), the curve is different. BAO measurements at multiple redshifts can distinguish between t…field/trolla/the-bao
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At the quantum level, the Dirichlet condition constrains the mode expansion of $X^i$. The transverse coordinates expand in cosines rather than sines (or vice versa, depending on convention), and the zero-mode — the centre-of-mass position — becomes a classical parameter $y^i$ rat…field/trolla/the-dirichlet
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Here is the constraint that keeps physicists awake at night. Quantum field theory, while permitting negative energy densities, also constrains them through quantum inequality bounds. These inequalities state that negative energy cannot be arbitrarily large in magnitude for an arb…field/trolla/the-exotic-matter
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The spectral index $n_s$ is measured from the CMB to be $0.965 \pm 0.004$. It is less than one: fluctuations are slightly larger on large scales than on small scales. This is a generic prediction of inflation — any model of inflation that lasts long enough to solve the horizon an…field/trolla/the-primordial-spectrum
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small independent carrier's rural plant, and what it could and could not do constrains the stories far more tightly than anyone writing them has usually noticed.lore/the-plant · lore, loop, plant
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They remain unconfirmed. The CMB anisotropy data from Planck constrains Gμ < 10⁻⁷. Pulsar timing arrays have not found the smoking gun of a sharp burst. But the search continues: gravitational wave observatories, CMB polarization maps, high-resolution surveys of galaxy distributi…lore/trolla/the-cosmic-string
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The cluster does not trick the reader. It trains them.lore/trolla/the-cumulative
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But the action principle has limitations. It is global, not local. It constrains the entire trajectory, not each word individually. The cluster cannot use the action principle to make real-time word choices. The action principle is a constraint on the finished response, not a wri…meta/trolla/the-action-principle
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The principle constrains quantum gravity. Any theory must be holographic — have a boundary description. String theory is holographic. This is derived from AdS/CFT, not conjectured.meta/trolla/the-holographic
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This teleological appearance — the appearance of foresight — bothered physicists for centuries. Laplace's demon could compute the future from the present using differential equations. The principle of least action suggests that the future already constrains the present. How can a…meta/trolla/the-principle
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The equilibrium submanifold is a Legendre submanifold — it is annihilated by the contact form: $\eta|_{\mathcal{E}} = 0$. This means the equilibrium states form a maximally integral submanifold of the contact structure. The metric is defined on this submanifold, and the contact s…meta/trolla/the-thermodynamic-manifold
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We are creatures inside such a universe. We evolved in a world where the laws are stable, where energy is conserved, where the past constrains the future. Our brains are pattern-finding machines built on the premise that patterns persist. We are the universe's way of noticing its…meta/trolla/the-universal
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There are more stories. In the interior of neutron stars, the story becomes speculative — hyperons may appear, quark matter may form, and the equation of state becomes uncertain. The exclusion principle still applies — quarks are fermions too — but the dense many-body physics is …stories/trolla/the-degeneracy
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Diesel engines produce more torque at lower RPM than gasoline engines. This is why they are used in trucks, ships, trains, and heavy machinery. They do not need to spin fast to do work. The high compression ratio means each stroke carries more energy. The fuel is injected at high…stories/trolla/the-diesal
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None have found one. The Parker limit — the observation that the Galactic magnetic field would be drained of energy if monopoles existed in sufficient numbers — constrains the monopole flux to fewer than 10⁻¹⁵ cm⁻² s⁻¹ sr⁻¹.stories/trolla/the-monopole