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Main positions:Director, High Performance Computing Platform, PKU
Degree:Doctoral degree
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School/Department:Institute of Theoretical Physics

Lei Yian

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Education Level: Postgraduate (Doctoral)

Administrative Position: Associate Professor

Alma Mater: Peking University

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Language and the Uncertainty Principle
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Language and the Uncertainty Principle

——Exploring the Nature of Human Communication through Quantum Physics

Introduction: A Linguistic Puzzle That Troubled Physicists

In 1927, Werner Heisenberg complained in a letter to a friend: "To describe what happens inside an atom with everyday language is as difficult as playing a violin concerto with a hammer." The confusion of this founding father of quantum mechanics reveals a profound truth: language itself abides by the uncertainty principle.

When we attempt to describe something, we inevitably face a dilemma: the more words we use, the more accurate the description becomes, but the less flexible it is; the fewer words we use, the richer the meaning, but the greater the ambiguity. This is not a flaw of language, but an inherent law of information transmission.

I. From Physics to Language: The Universality of Uncertainty

Heisenberg's Discovery

In the quantum world, one can never simultaneously know the exact position and momentum of a particle. This is not because our instruments are insufficiently precise, but because precise position and precise momentum are inherently mutually exclusive. Expressed mathematically:

Δx × Δp ≥ ℏ/2

Where Δx is the uncertainty in position, Δp is the uncertainty in momentum, and ℏ is the reduced Planck constant.

The Corresponding Relationship in Language

Surprisingly, an identical relationship exists in linguistic communication:

Descriptive Precision × Semantic Breadth ≥ Information Constant

  • Descriptive Precision: The number of words used to constrain meaning

  • Semantic Breadth: The space for possible interpretations

  • Information Constant: The minimum amount of information required to fully convey a concept

II. Linguistic Quantum Phenomena in Daily Life

Poetry vs. Instruction Manuals: Two Extremes

Imagine introducing the moon to a friend.

The Poet's Approach (Li Bai):

"Before my bed, the bright moon shines"

Five words, countless interpretations—homesickness? loneliness? the passage of time? Each reader's state of mind shapes their understanding. This resembles the superposition of quantum states—all possible meanings coexist simultaneously.

The NASA Engineer's Approach:

"The Moon is Earth's natural satellite, with an average diameter of 3,474.8 kilometers, a mass of 7.349×10²² kilograms, an average orbital radius of 384,400 kilometers, and an orbital eccentricity of 0.0549..."

Precise and unambiguous, yet stripped of poetic charm and imaginative space. This is analogous to the measurement of a quantum state—obtaining a definite result, but collapsing the spectrum of possibilities.

The Boss's Instructions: A Tug-of-War Between Precision and Flexibility

Scenario 1: Precise Instructions

"Please send the Q3 sales report in Template B format to my email abc@company.com by 3 PM tomorrow."

Result: The task is clear, but employees may be at a loss when encountering special circumstances (e.g., missing data).

Scenario 2: Principle-Based Guidance

"Provide me with a sales update as soon as possible."

Result: Employees have room for flexibility to adapt to actual situations, but the outcome may not align with the boss's expectations.

This perfectly embodies the position-momentum uncertainty in management: the more precise the instruction, the poorer the adaptability; the more flexible the instruction, the greater the execution deviation.

III. The Quantum Characteristics of Chinese

The Superposition State of Single Characters

Chinese single characters are perfect manifestations of linguistic quantum properties. Take the character "道" (dao) as an example:

  • Isolated "道" = Quantum superposition state (path? principle? morality? Taoism?)

  • Combined into "道路" (daolu) = Collapse after measurement (definitely meaning "road")

This is analogous to Schrödinger's cat: before you combine the character (measure it), "道" simultaneously embodies all possible meanings.

Idioms: Four-Character Universes

Chinese idioms encode entire stories or philosophies in just four characters:

"塞翁失马" (Sāi Wēng Shī Mǎ—The old man on the frontier loses his horse)

  • Four characters → Contain an entire narrative

  • Explanation requires hundreds of words → Measurement leads to collapse

  • No explanation → Maintains the superposition state of meaning

This compression is not a loss of information, but a preservation of possibilities.

IV. The Wisdom of Silence: Maximum Uncertainty

The Quantum Wisdom of Zen Koans

A disciple asks: "What is the Buddha?" The Zen master replies: "Three catties of hemp."

If the master had elaborated on what the Buddha is, he would have limited the possibility of enlightenment. Minimal language preserves maximum room for insight.

Wittgenstein's Prophecy

The philosopher Ludwig Wittgenstein stated: "What can be said at all can be said clearly; and whereof one cannot speak, thereof one must be silent."

From a quantum perspective: silence is the superposition state of all possibilities—once spoken, it inevitably collapses.

V. The Crisis of Uncertainty in the Social Media Age

The 140-Character Twitter Philosophy

Twitter's original 140-character limit (now 280) has created a unique communication ecosystem:

  • Advantages: Concise and rapidly transmissible

  • Disadvantages: Prone to out-of-context interpretation and frequent misunderstandings

This is enforced uncertainty—when information is compressed to its limit, ambiguity is inevitable.

Memes: The New Quantum Language

The meaning of the 🙂 emoji:

  • Sincere smile?

  • Awkward politeness?

  • Secretly disdainful while maintaining a friendly facade?

Memes are like quantum states— the observer's mindset determines the direction of collapse.

VI. The Paradox of Linguistic Precision in the AI Era

ChatGPT's Dilemma

Large language models face the same uncertainty principle:

  • Precise answers: May miss the user's true intent

  • Open-ended answers: May deviate from the user's needs

This explains why a perfect AI assistant is impossible—not due to technical limitations, but fundamental constraints of information theory.

The Art of Prompt Engineering

Writing AI prompts is analogous to conducting quantum measurements:

  • Too specific → Restricts the AI's creativity

  • Too vague → Fails to yield desired results

Optimal strategy: Finding a balance between determinism and possibility.

VII. Uncertainty in Cross-Cultural Communication

Differences in Eastern and Western Linguistic Philosophies

Western Tendency:

  • Aristotle's method of definition

  • Descartes' clarity and distinctness

  • Outcome: Precision in scientific language

Eastern Tendency:

  • Laozi's "The Dao that can be spoken is not the eternal Dao"

  • Zen's "No reliance on words"

  • Outcome: Richness in poetic language

The two cultures occupy opposite ends of the uncertainty principle spectrum.

VIII. Practical Guide: Optimizing Your Language Strategy

Contextual Uncertainty Management

  • Legal documents: Maximize precision, minimize ambiguity

  • Poetry creation: Maximize possibilities, minimize constraints

  • Daily communication: Dynamic balance, adapting to context

  • Educational communication: Spiral progression, gradual refinement

Quantum Strategies for Effective Communication

  1. From vague to specific: Moving from conceptual ambiguity to precise definition

  2. Multidimensional description: Approaching truth from different perspectives

  3. Preserve leeway: Leaving room for flexible understanding

  4. Timely feedback: Correcting deviations through interaction

IX. Philosophical Reflection: The Limits and Possibilities of Language

The Fall of the Tower of Babel: The Cost of Precision

From a quantum perspective, the biblical story of the Tower of Babel represents the inevitable failure of attempting to precisely describe everything with a single language. Diversity is not a curse, but a necessity for preserving possibilities.

The Impossibility and Possibility of Translation

The true reason "poetry is untranslatable":

  • The original text maintains a superposition state of meanings

  • Translation is a measurement that inevitably causes collapse

  • The best translations: Create new superposition states

X. Conclusion: Dancing with Uncertainty

The uncertainty principle of language reveals a profound truth: perfect communication does not exist, yet it is this imperfection that makes communication beautiful.

Every conversation is a quantum experiment:

  • What we send is a probability wave

  • What the other party receives is a collapsed definite state

  • Understanding always bears the mark of uncertainty

But this is not a flaw—it is the essential characteristic of human communication. Just as quantum uncertainty gives rise to the rich and diverse material world, linguistic uncertainty fosters the splendid diversity of human culture.

Final Insight:

When we say the three words "I love you," we convey not a precise definition, but infinite possibilities. What the other person understands may not be exactly what we intended, yet it is this uncertainty that makes love an eternal exploration.

In an era that demands precision, let us remember: sometimes the deepest wisdom lies in maintaining appropriate ambiguity, and the most effective communication lies in leaving room for understanding.

For in the quantum world of language, certainty is temporary, but possibility is eternal.

Postscript:

When you finish reading this article, your understanding will inevitably differ from the author's original intent. Yet it is this very uncertainty that makes the exchange of ideas possible, and each reading a new creation.