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Main positions:Director, High Performance Computing Platform, PKU
Degree:Doctoral degree
Status:Employed
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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Natural Quantization: The True Origin of Planck's Constant
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I. The Inverted Causal Chain: Quantum Mechanics’ Greatest Conceptual Error

Traditional quantum mechanics treats Planck’s constant as a fundamental constant of the universe and then uses it to “explain” various quantum phenomena. This narrative implies that it is the existence of Planck’s constant that causes the world to be quantized. However, this completely reverses the causal relationship.

The truth is precisely the opposite: it is nature’s inherent quantization that gives rise to Planck’s constant.

This is not a minor conceptual adjustment but a fundamental reconstruction of the entire foundation of quantum mechanics. Once we recognize that quantization is an intrinsic property of nature—not a rule imposed by some mysterious constant—the entire physical picture undergoes a revolutionary transformation.

II. Natural Quantization of Charge: A First-Principle Fact

Electric charge comes in a minimal unit—this is a basic experimental fact. Every electron carries the same charge e. This is not a theoretical prediction but a fundamental characteristic of nature. For now, we restrict our discussion to low-energy conditions at the atomic and molecular scale.

The key point is this: this quantization requires no theoretical explanation or prior assumptions. It simply exists. We do not need to introduce Planck’s constant to “explain” why charge is quantized. On the contrary, charge quantization is the more fundamental fact, and it leads to the quantization of other physical quantities.

This natural quantization implies:

  • Charge cannot vary continuously; it can only change in discrete steps of size e.

  • Electric current must be discrete, as it is the flow of charge (ignoring secondary effects like screening).

  • Electromagnetic interactions must be quantized, because their source (charge) is quantized.

III. Eigenmodes of the Electromagnetic Field: Natural Resonances of Space

In any finite region of space, the electromagnetic field possesses discrete eigenmodes of oscillation. This is not a prediction of quantum mechanics but an inevitable consequence of classical electrodynamics.

Consider a simple resonant cavity:

  • Maxwell’s equations, together with boundary conditions, automatically yield discrete resonant frequencies.

  • Each mode represents a natural oscillation pattern of space.

  • The frequency spacing between modes is determined by geometry and boundary conditions.

The existence of these discrete modes is entirely classical, deterministic, and non-mysterious. They are like the harmonic series of a violin string—the mathematical necessity of wave equations under specific boundary constraints.

IV. The Logical Necessity of Energy Quantization

When we combine these two facts:

  1. Charge is quantized (experimental fact)

  2. The electromagnetic field has discrete eigenmodes (classical electrodynamics)

energy quantization (discreteness, discreteness of energy levels) becomes a logical necessity:

  • Since charge exists only in minimal units of e, energy exchange between charged particles and the electromagnetic field must occur via the motion of these discrete charges.

  • The quantization of charge leads directly to the quantization of energy exchange.

  • The energy differences between distinct eigenmodes thus exhibit quantized characteristics.

There is nothing mysterious here—this is simply the inevitable consequence of combining two natural facts.

V. The Emergence of Planck’s Constant—Not a Preset

In this picture, Planck’s constant h is not a fundamental constant but a derived quantity:

h = (energy difference) / (frequency difference) = e² / (permittivity × geometric factor)

Planck’s constant arises because:

  • Charge quantization provides a fundamental scale for energy.

  • Eigenmodes provide a fundamental scale for frequency.

  • The ratio of these two naturally defines a fundamental scale of action.

h is not a constant decreed by divine fiat but a measure of natural quantization. Its value is jointly determined by the elementary charge unit and the electromagnetic properties of space.

VI. Reinterpreting “Quantum Jumps”

In the traditional narrative, “quantum jumps” of electrons between energy levels are described as mysterious, instantaneous events. But in the natural quantization picture:

  • A quantum jump is simply the transition of a charged particle between different eigenmodes.

  • The eigenmodes pre-exist (classically).

  • The discreteness of charge dictates that transitions must be whole-unit changes.

  • The “jump” is not mysterious—it is the inevitable behavior of a discrete system.

This is analogous to state transitions in digital circuits—nothing supernatural about it.

VII. Photons: A Misunderstood Concept

In the natural quantization framework, the “photon” is not a fundamental entity but a unit of energy exchange:

  • When charge interacts with an electromagnetic mode of frequency ν:

    • Due to charge quantization, energy can only be exchanged in specific quanta.

    • This quantum is what we call a “photon.”

  • The photon energy E = hν merely states: the amount of energy exchanged is proportional to the mode frequency.

(At low energies) photons are not particles but units of quantized interaction. Reifying (low-energy) photons as physical objects is another error.

VIII. A New Understanding of the de Broglie Relation

The de Broglie relation λ = h/p is traditionally interpreted as evidence of “matter waves.” But in the natural quantization framework:

  • This relation simply states that the motion of a charged particle must be compatible with the eigenmodes of the electromagnetic field in its environment.

  • It is not that the particle “has” wave-like properties.

  • Rather, the particle’s motion must conform to the spatial electromagnetic structure.

  • The wavelength λ describes the spatial scale of this compatibility.

IX. Reinterpreting the Equations of Quantum Mechanics

In this framework, the Schrödinger equation acquires a new meaning:

  • It is not an equation describing the evolution of a mysterious “wave function,” but rather a description of how a charged particle exists within the “spectral reality” formed by discrete eigenmodes.

  • The wave function ψ is a mathematical tool describing the particle’s distribution across different modes.

  • The linearity of the equation reflects the superposition principle of eigenmodes.

  • Quantization conditions are automatically satisfied because we are working with discrete modes from the outset.

X. Complete Rejection of Quantum Mysticism

The natural quantization perspective entirely dissolves the mystique of quantum mechanics:

  1. Uncertainty Principle

    • Not a fundamental limit of nature

    • But a mathematical necessity when describing particle motion with waves

  2. Wave-Particle Duality

    • No true duality exists

    • Particles are particles; they simply occupy discrete eigenmodes under constraints

  3. Quantum Entanglement

    • Not “spooky action at a distance”

    • But correlation among multi-particle systems sharing common eigenmodes

  4. Measurement Problem

    • No “collapse” occurs

    • It is merely a shift from statistical to deterministic description

XI. A New Foundation for Physics

Recognizing the primacy of natural quantization allows us to rebuild the foundations of physics:

Fundamental Facts:

  • Charge is quantized (experimental observation)

  • Space possesses discrete electromagnetic eigenmodes (classical electrodynamics)

  • Charged particles interact with the electromagnetic field (basic interaction)

Derived Results:

  • Energy quantization

  • The value of Planck’s constant

  • Atomic stability

  • Spectral lines

  • All “quantum phenomena”

This hierarchy is clear, logical, and non-mysterious.

XII. Profound Implications for Philosophy of Science

The natural quantization view has deep philosophical consequences:

  1. Triumph of Reductionism
    Complex “quantum phenomena” reduce to simple facts: charge quantization + eigenmodes.

  2. Restoration of Determinism
    Randomness is not fundamental—it arises from our descriptive methods.

  3. Affirmation of Realism
    The physical world is real and definite; mystery stems only from our misinterpretations.

  4. Validation of Simplicity
    Nature’s fundamental laws are simple; complexity arises from our mathematical tools.

XIII. Revolutionary Reform of Physics Education

Based on natural quantization, quantum mechanics education must be thoroughly reformed:

Traditional (Flawed) Path:

  • Start with Planck’s constant

  • Introduce wave functions

  • Derive quantization conditions

  • Explain various “anomalies”

Correct Path:

  • Begin with charge quantization

  • Introduce electromagnetic eigenmodes

  • Demonstrate the logical necessity of energy quantization

  • Present Planck’s constant as a derived quantity

  • Treat the Schrödinger equation as a spectral analysis method

This approach eliminates student confusion and makes quantum physics intuitive and understandable.

XIV. New Perspectives for Technological Applications

Understanding the true nature of natural quantization offers important insights for technology:

Quantum Computing:

  • Not about exploiting the “mystery” of superposition

  • But about harnessing the parallelism of eigenmodes

Quantum Communication:

  • Not about “spooky” entanglement

  • But about preserving correlations in shared modes

Quantum Sensing:

  • Not about the fragility of “coherence”

  • But about the precision of discrete energy levels

This understanding will lead to more practical and reliable technological solutions.

Conclusion: From Mysticism to Naturalism

The recognition of natural quantization marks a fundamental shift in physics—from mysticism to naturalism.

Quantum mechanics does not require special philosophical foundations, no privileged role for observers, and no involvement of consciousness. It is simply a theory describing how charged particles move in an electromagnetic field with discrete eigenmodes.

Planck’s constant is not a mysterious cosmic code but the natural outcome of the interplay between charge quantization and the electromagnetic structure of space. Recognizing this allows us to fundamentally dissolve quantum mysticism and return to the rational foundations of physics.

This is not a denial of quantum mechanics’ achievements, but a correct understanding of their physical meaning. Quantum phenomena are real—but they arise from simple facts of nature, not from mysterious quantum principles.

Scientific progress demands continual refinement of our conceptual frameworks. Placing natural quantization before Planck’s constant is a foundational correction in the conceptual architecture of physics. This correction will guide us out of the quantum labyrinth and toward a deeper, truer understanding of nature.

The future belongs to those who dare to question “fundamental constants,” and to those who seek profound truths in simple facts.