A Curvature Problem?
“Is the universe really infinite? Or could it loop back on itself like a sphere?” Sabine Hossenfelder’s words on the nature of space-time are arresting, not merely for the cosmological implications but for the deeper metaphor they offer. They strike a resonant chord with anyone wrestling with a different kind of infinite: the slippery expanse of language.
As Sabine walks us through the intricacies of curved space-time, she inadvertently shines a light on something equally abstract yet close to home—how language, like the universe, seems vast and unbounded but is, in practice, riddled with constraints. What if language itself, for all its apparent openness, is its own kind of finite geometry?
Drawing on my Language Insufficiency Hypothesis (LIH), I propose that Sabine’s insights into cosmology can offer a lens to explore the paradoxes of human communication. Language, like space-time, is internally defined, replete with loops, and prone to infinite configurations that fail to expand meaningfully. Let’s explore how the universe’s curvature mirrors the curvatures of our words.
The Closed Systems of Space and Language
In physics, the curvature of space-time is measured internally. You can determine if space is flat or curved by drawing a triangle and adding its angles. If they don’t sum to 180 degrees, you’re in curved space. Sabine highlights that this is true without any external reference point; the geometry is self-contained.
Language operates much the same way. Words and meanings are often bounded by the internal logic of the systems they inhabit—be they legal, technical, or ideological. Much like the curvature of space-time, linguistic meaning is determined not externally but within the context of its own closed system. Think of a term like “justice”: in a legal setting, it might add up to one interpretation, while in a political debate, its angles skew wildly. To an outsider, the system is opaque, even though it seems perfectly flat from within.
Infinite Expanses or Finite Loops?
Sabine explains that the universe might be infinite, but it might also loop back on itself, creating patterns of repetition. Her analogy of light travelling endlessly through a curved universe only to return to its origin provides a striking metaphor for language’s “effectiveness horizons.”
As concepts grow more abstract—freedom, truth, beauty—language seems to expand infinitely. But in practice, it often circles back, repeating itself in kaleidoscopic loops of contested meaning. Philosophers have debated terms like “good” or “justice” for millennia, yet here we are, still tracing the same paths, unable to break free from the system’s internal constraints. Language doesn’t expand into new meaning; it curves back on itself.
Schrödinger’s Words: Infinite Interpretations
One of Sabine’s most evocative ideas is the notion that in an infinite universe, there are infinite copies of you, some slightly different, some wildly so. A version of you with more hair. One with less brain. This multiplicity mirrors what I call Schrödinger’s Weasels: words that exist in multiple, contradictory states until “collapsed” by context.
Take a word like “freedom.” In political discourse, it can simultaneously mean the right to self-determination, freedom from government interference, or the economic liberty to exploit markets. Much like Sabine’s infinite configurations, these meanings coexist until someone forces them into a single interpretive frame. The result? Semantic exhaustion. A single word tries to carry the weight of an infinite universe.
The Precision Paradox
Sabine notes that asking what the universe expands into is a meaningless question because expansion describes relationships within space-time, not beyond it. Similarly, the pursuit of perfect precision in language often collapses into meaninglessness. Trying to pin down a word like “justice” leads to endless definitions, each requiring further clarification. It’s a Zeno’s paradox of semantics: the closer we get to precision, the more distance remains.
Lessons from Curved Space and Twisted Words
What does this tell us about the limits of language? Sabine’s insights reinforce the idea that complexity doesn’t always lead to clarity. Like the universe, language isn’t infinite in the way we might wish; it’s bounded by its own structure. The more abstract the concept, the greater the chance we’ll find ourselves lost in a linguistic loop, navigating words that seem to expand but merely repeat.
Understanding this doesn’t mean abandoning the pursuit of meaning but accepting its constraints. Just as cosmologists use models to map the unobservable edges of the universe, we can use frameworks like the Language Insufficiency Hypothesis to chart the limits of our words. Both efforts are acts of humility in the face of infinite complexity.
Closing Thought
If Sabine is right that there are infinitely many versions of ourselves in the universe, perhaps one of them has already solved the riddle of language. Or, more likely, they’ve just found a new loop to wander.
What do you think? Is language a closed system, forever folding back on itself? Or can we stretch it, like space-time, to infinity and beyond?
Philosophics 