I. Foundational Standpoint and General Position
Natural Quantum Theory is a quantum-theoretical framework grounded in Scientific Realism, representing a further development of the "Global Approximation Interpretation of Quantum Mechanics."
Within the highly abstract mathematical formalism of quantum mechanics, the primary task is to distinguish mathematical formalism from physical reality, while remaining vigilant about the applicability conditions and implicit limitations of various mathematical tools.
Methodology of Natural Quantum Theory
Starting from the mathematical formalism of quantum mechanics, interpret its physical meaning term by term without introducing any additional assumptions
Diagnose the inherent limitations and pathologies of the mathematical methods themselves
Identify how historical neglect of these limitations has produced misreadings that created the cognitive barrier of "quantum mystery"
Restore quantum theory to a comprehensible picture of scientific realism
On this foundation, Natural Quantum Theory systematically critiques historical conceptual deficiencies—including the traditional point-particle model and the abstraction and "labeling" of spin—while proposing corresponding realistic improvements.
Core Conclusion
The Copenhagen interpretation, along with nearly all "mysterious quantum readings," originates almost entirely from misreadings of quantum mechanical formalism, not from physical facts themselves.
II. The Schrödinger Equation, Spectral Representation, and the Essence of "Quantization"
Natural Quantum Theory fundamentally reinterprets the physical meaning of the Schrödinger equation (canonical quantization).
Central Thesis
Quantum mechanics, centered on the Schrödinger equation, is the spectral representation of classical mechanics.
The mathematical operation called "quantization" is essentially transformation into spectral representation.
Understanding Canonical Quantization
Canonical quantization can be understood as:
Promoting the classical Hamiltonian to operator form
Expressing it as a spectral representation on Hilbert space
Studying eigenstates and eigenvalues on this spectrum
Two Sources of Genuine "Minimal Unit" Quantization
True quantization—in the sense of discrete minimal units—arises from two physical facts:
| Source | Description |
|---|---|
| Natural charge quantization | The existence of the elementary charge unit |
| Discrete eigenvalues in confined systems | Discrete eigenmodes of electromagnetic waves under boundary constraints |
The Indispensable Role of Spectral Methods
For finding global eigenstates, spectral methods (such as the Schrödinger equation) are crucial and irreplaceable:
For physical fields like the electromagnetic field, spectral methods are necessary tools for understanding global behavior and resonance structures
They fully exploit global boundary conditions and topological constraints to identify global wave modes
By contrast, classical dynamical methods (partial differential equations, trajectory equations) are inherently local:
They precisely characterize local evolution and causal chains
But alone, they are insufficient to describe global resonance and eigenspectral structure
The Complex Form of the Schrödinger Equation
Natural Quantum Theory interprets the complex-number formalism of the Schrödinger equation as originating from the two-component structure of electromagnetic waves (such as orthogonal field components or quadrature coupling), rather than abstract "complex number magic."
Key Unifying Insight
Quantum mechanics is the global expression of classical mechanics and electromagnetic field theory in spectral space.
No additional mysterious assumptions are required for "explanation."
III. Advantages and Limitations of Global Spectral Methods: Uncertainty, Operators, and Wave Functions
3.1 The "Cost" of Global Spectral Methods: Loss of Local Information
Spectral methods are inherently global representations of fields or dynamics across the entire spacetime domain.
This globality naturally entails important limitations:
Local and instantaneous information is compressed and lost, including:
Local directional information of spin and magnetic moment in real space
Specific local causal chains and instantaneous dynamical details
In other words, global spectral methods excel at characterizing:
Eigenstate structure
Discrete energy levels
Resonance modes
Global coherence
But are inherently unsuited for directly expressing:
Instantaneous position information
Specific single-particle trajectories
Local spin/magnetic moment orientation and interaction details
3.2 Physical Meaning and Scope of the Uncertainty Principle
Natural Quantum Theory clarifies the physical meaning of the uncertainty principle:
It is a mathematical limitation of spectral representation, of the same type as the bandwidth–time-domain resolution trade-off in global Fourier analysis.
It is not an ontological "physical limitation" or "proof of fundamental randomness."
Scope of applicability:
The uncertainty principle applies only to unified spectral representations across the entire spacetime domain:
It constrains the possibility of simultaneously defining certain conjugate spectral variables with precision within a single global wave function
It cannot describe or limit the instantaneous state during a specific evolution
Therefore:
The uncertainty principle cannot be used to deny or prohibit dynamical descriptions of microscopic particles
Definite position, momentum, and trajectory remain legitimate concepts within the dynamical picture
Summary
Dynamical methods and spectral methods are complementary descriptions, each with its own conditions of applicability and advantages. Neither can negate the other.
3.3 Operators, Commutation Relations, and Physical Correlations
Observables appear in operator form because, within spectral representation:
We characterize systems using eigenstates and eigenvalues
Operator algebra is the mathematical shell of this spectral structure
Commutation relations are precise translations of physical correlations, not abstract algebraic games:
| Relation | Physical Meaning |
|---|---|
| Commuting | Corresponds to "independent" structures that can be simultaneously determined on the spectral structure—two observables can be simultaneously diagonalized on the same set of eigenstates; their measurements do not interfere |
| Non-commuting | Corresponds to "mutual constraint" and correlation between spectral structures—measuring one quantity rearranges the spectral distribution of the other |
| Anti-commuting | Specifically characterizes the "occupation exclusion" property in fermionic state spaces; manifests as anti-commutation at the operator level, corresponding physically to the exclusion structure of "at most one per mode" |
3.4 Properties of the Wave Function: Statistics, Energy Density, and Information Encoding
Natural Quantum Theory clarifies the abstract properties of the wave function:
Statistical and ensemble significance:
The wave function has statistical and ensemble meaning, yet can still provide for a single system:
Spatial distribution of energy density (under appropriate gauge)
Probability distribution for triggering local events
For a single system, the wave function—as the spectral expression of the system—constitutes a global description of that system.
Epistemological perspective:
The wave function also encodes the observer's incomplete knowledge about the system, representing a hybrid expression of "reality + epistemic incompleteness."
Further clarifications:
The wave function itself is dimensionless
Early textbooks that assigned the wave function dimensions of "√(probability density)" originated from errors in handling integration parameters
Fundamental randomness violates scientific realism; therefore, the wave function cannot be understood as "a carrier of ontological randomness in the world"—its probabilistic interpretation can only be understood from statistical and ensemble perspectives
Overall Assessment
As the spectral expression of classical mechanics, quantum mechanics requires no additional "interpretation" at the ontological level.
Much of "quantum interpretation studies" actually consists of misreading the implicit limitations of mathematical tools.
The Copenhagen interpretation, by failing to analyze the physical meaning of the Schrödinger equation and treating mathematical limitations as physical ontology, has mystified quantum mechanics.
IV. Demystifying Entanglement, Measurement, and Experimental Phenomena
Overturning "Quantum Entanglement Weirdness"
Natural Quantum Theory overturns the concept of "quantum entanglement weirdness":
Entanglement is merely a global correlation structure with an establishment process.
Proposed verification experiments have received indirect support from non-entangled photon experiments.
Natural Explanation of Delayed-Choice Experiments
Natural Quantum Theory provides a natural explanation for delayed-choice experiments and proposes specific experimental verification schemes:
So-called "retroactive choice of the past" does not exist.
All effects can be understood within the framework of global coherence/decoherence and the physical action of measurement configurations.
The Nature of Measurement
Natural Quantum Theory emphasizes:
Measurement is essentially an interaction process
Measurement apparatus and methods can mildly or severely perturb the measured system
In extreme cases, measurement can even trigger new global modes: such as quantum entanglement, energy level splitting, etc.
Realistic treatment of the "measurement problem":
Clearly distinguish between the system's own evolution and the new resonance modes introduced by system–instrument interaction.
Do not resort to metaphysical language about "mysterious wave function collapse."
V. Systematic Reconstruction of Spin, Magnetic Moment, Fermions, and Supersymmetry
5.1 The De-physicalization of Spin and the "Awkwardness" of Magnetic Moment
Natural Quantum Theory reveals that traditional quantum mechanics has severely internalized, abstracted, labeled, and de-realized the treatment of spin:
Spin has been reduced to a label in Hilbert space rather than a physical quantity with spatial direction
This loses the directional properties of spin and magnetic moment in real space
Root cause:
Global spectral analysis methods inherently lose local spin information
Traditional spin treatment merely fills this gap with "spin operator eigenvalues"
The resulting "awkward relationship" between magnetic moment and spin:
The introduction of the g-factor is essentially a patch to fix the mismatch between "labeled spin" and real magnetic moment
The natural correspondence between spin and magnetic moment has been artificially broken and must be "pieced back together" with correction factors
5.2 The Physical Value of Electron Spin and Thomas Precession
Natural Quantum Theory states:
The electron's physical intrinsic spin should be 1 (in units of ℏ), representing a genuine angular momentum structure.
However, under orbit–spin coupling conditions in atoms, due to Thomas precession, its spectral manifestation appears as the effective value of 1/2.
This clarifies:
Fermion spins in quantum mechanics are all "labeled spins"—merely intrinsic quantities in Hilbert space
They are not directly equivalent to spin angular momentum in real space
5.3 Fermions, Anti-commutation, and the Supersymmetry Problem
Natural Quantum Theory states:
The introduction of the fermion concept largely compensates for the mathematical deficiency of physical magnetic moments disappearing in spectral representation.
The antisymmetric exchange energy of fermions is essentially the encoding of physical magnetic energy and magnetic moment interactions in spectral representation.
Therefore, the fermion–boson classification is not absolutely fundamental:
When this classification is taken as a fundamental basis for constructing supersymmetry theory, supersymmetry becomes a higher-level symmetry built on "non-fundamental labels"—this is one of the deep reasons why supersymmetry theory has repeatedly encountered difficulties.
Analysis of the "720° rotation to return" property of spin-1/2 fermions:
Natural Quantum Theory further analyzes this property:
This is an abstract group representation property, not a real-space rotation property
Any experiment manifesting this feature should be related to Thomas precession (for electrons) or spin geometric phases analogous to the Aharonov-Bohm effect (for neutrons)
Traditional quantum mechanics confuses abstract representation with physical rotation, containing inherent conceptual contradictions
VI. Realizing Atomic Models, Energy Level Splitting, and Zero-Point Energy
Atomic Model with Effective Local Dynamics
Natural Quantum Theory proposes an atomic model where local dynamics are effective (a "classical atomic model"):
Atoms contain electrostatic oscillations, frequency locking, orbital resonance, spin (magnetic moment) pairing, etc.
These are classical phenomena that manifest as "quantum" behavior
Electron motion in atoms is primarily electrostatic oscillation, not planetary orbital revolution around the nucleus
Systematic Analysis of Atomic Energy Level Splitting
Energy levels represent the system's global eigenmodes
Electron orbital "occupation" should be understood as the electron being in a specific resonance mode
A single electron is indivisible: if in an eigenstate, it must be on a definite orbital, not "partially on multiple orbitals"
Clarification of Zero-Point Energy
| Concept | Clarification |
|---|---|
| Zero-point energy origin | Arises from the lower bound of eigenmode energies in constrained systems |
| Vacuum zero-point energy | The infinite energy in unconstrained backgrounds lacks physical basis; it is a product of mathematical extrapolation |
| Casimir effect | Demonstrates zero-point energy differences produced by constraints, not direct evidence that "the vacuum ontologically possesses enormous zero-point energy" |
VII. Experimental Support and Specific Phenomena: Natural Quantum Theory vs. Instrumental Quantum Theory
Natural Quantum Theory cites numerous experiments as evidence supporting the realistic framework and opposing "purely instrumental quantum theory":
Quantum entanglement and its establishment process
Atomic energy level splitting and fine structure
Quantum Zeno and anti-Zeno effects
Mössbauer effect (recoil-free gamma emission and collective resonance)
Actual occurrence conditions of forbidden transitions
Finite structure scales revealed by electron scattering experiments
Neutrino effective size experiments
Physical Pictures Provided
Natural Quantum Theory provides physical pictures for electrons and photon–electron conversion, and offers intuitive explanations for:
| Phenomenon | Explanation |
|---|---|
| Quantum tunneling | Understood through wave penetration and dynamical energy fluctuation/distribution width |
| Quantum superposition | Can be either field (electromagnetic wave) superposition or statistical superposition of ensembles (particles) |
| Natural origin of Planck's constant h | Natural charge quantization + discrete eigenmode energy levels under confined conditions |
| Natural origin of de Broglie wavelength | Combined action of electromagnetic resonance and natural quantization |
VIII. Field Theory Topology, the Standard Model, and the Direction Toward Unified Field Theory
Fundamental Particles as Topological Field Objects
Natural Quantum Theory emphasizes:
Fundamental particles are not point particles but field-topological objects with internal structure and scales approximately equal to the Compton wavelength.
Spin should be their real angular momentum, not reduced to discrete label values.
Magnetic Flux/Vortex Structure Hypothesis
Starting from the existence of permanent magnets and observing that magnetic flux is loosely constrained and easily stabilized under microscopic conditions:
Fundamental particles are very likely stable magnetic flux/field vortex structures.
Interpretation of Electric Charge
Electric charge is the topological localization of "displacement charge" naturally produced by electromagnetic oscillation.
Therefore, charge must be globally balanced.
Key Points on Realization
| Issue | Position |
|---|---|
| Quantum theory needs comprehensive realization | Especially restoring spin, magnetic moment, and other physical quantities from "labels" to real field structures |
| Ultraviolet divergence and renormalization difficulties | Originate from errors and pathologies in mathematical models (point particles, infinite degrees of freedom), not from physical facts |
| Mass | Interpreted as the intrinsic value of field energy under local constraints, naturally consistent with relativistic "energy–mass equivalence"; no need for the Higgs mechanism as an ontological origin |
| Success of QFT calculations | Because in practice they accomplish re-realization of spectralized spin, energy flow, and other physical quantities—though this is not consciously recognized at the interpretive level |
Gauge Symmetry Breaking
In Natural Quantum Theory's view, so-called "gauge transformation symmetry breaking" in gauge field theory:
Is actually the abstract expression of the fact that physical magnetic moments must choose a spatial direction.
All gauge transformations can be understood as some actual physical rotation or re-selection of field bases.
Assessment of the Standard Model
The Standard Model, quantum field theory, and gauge field theory are not ultimate fundamental theories.
They are more like multi-parameter fitting structures for large amounts of experimental phenomena.
Natural Quantum Theory proposes a series of specific realization suggestions and simplification directions for them.
On Parity and Chirality
For physical quantities like spin/magnetic moment, Natural Quantum Theory states:
Parity symmetry was never applicable: chirality is an intrinsic property, hardly worth special "surprise."
The "surprise" at parity non-conservation comes from the misleading point-particle model and abstract spin concepts.
The V-A theory's mathematical expression of parity non-conservation does not truly capture the physical essence of chirality—it is merely another layer of labeling and mathematical patching.
Toward Unified Field Theory
Starting from the locality of dynamics (PDEs) and the globality of spectral methods, Natural Quantum Theory finds:
Existing field theories severely lack descriptive tools for local topological structures.
Fundamental particles are very likely the locally stable topological structures of fields.
Filling this gap is the key direction toward unified field theory.
A Bold but Coherent Conjecture
Natural Quantum Theory thus proposes:
The Standard Model can very likely be essentially rewritten in terms of electromagnetic theory.
Strong interactions, weak interactions, and various "fundamental particles" are all different manifestations of the electromagnetic field under specific topological constraints and boundary conditions.
On Quantum Gravity
The fundamental reason "gravity cannot be quantized" is that quantization = spectralization.
General gravitational systems lack sufficient constraints to form discrete spectra; eigenmode analysis fails.
Therefore, applying existing quantization methods to gravity is fundamentally incompatible.
IX. Historical and Philosophical Perspectives: Correction and Convergence
Historical Retrospective
Historical review reveals that the mainstream narrative of quantum theory development seriously deviates from historical facts:
Since ancient Greece, "atomism" was long not the mainstream consensus; the concept of "indivisible smallest particles" has always been controversial
The Hamilton-Jacobi equation (1834) actually already provided a bridge between analytical mechanics and wave (optical) theory
Planck himself long resisted the intuitive interpretation of "energy as discontinuous particles"
Einstein later repeatedly expressed confusion about certain quantum concepts
Schrödinger clearly pointed out problems with the "both-and" vs. "either-or" definitions of probability; the Copenhagen-style "Schrödinger's cat" does not truly refute his position
Philosophical Conclusions
| Aspect | Position |
|---|---|
| Epistemic reality | Relative, defined by measurement error and information limitations |
| Under field-structure ontology | "Idealism" and "materialism" converge in a certain sense—matter and pattern are both structural states of fields |
| Partial knowability determinism | The world is deterministic and continuous field evolution at the ontological level; but due to computational and informational limitations, precise prediction and complete mastery are impossible |
Commitments
Under this premise, Natural Quantum Theory is committed to:
Restoring Scientific Realism
Rejecting "fundamental randomness" and nihilism
X. Conclusion and Prospect
Natural Quantum Theory has the potential to dramatically reduce the number of free parameters in the Standard Model.
It aims to reduce numerous "empirical recipes" to natural consequences of fields and topology.
It represents a natural development direction for fundamental physics returning toward unified field theory and scientific realism.
Summary Table
| Topic | Natural Quantum Theory Position |
|---|---|
| Quantization | Spectral representation, not ontological discreteness |
| Uncertainty principle | Mathematical limitation of spectral methods, not fundamental randomness |
| Wave function | Global description with statistical meaning; dimensionless |
| Entanglement | Global correlation structure with establishment process |
| Measurement | Interaction process, not mysterious collapse |
| Spin | Real angular momentum, not abstract label; electron physical spin = 1 |
| Fermions | Encoding of magnetic interactions in spectral representation |
| Particles | Topological field structures, not points |
| Charge | Topological localization of displacement charge |
| Mass | Field energy under local constraints |
| Standard Model | Multi-parameter fitting; potentially reducible to electromagnetism |
| Quantum gravity | Incompatible with spectralization due to lack of constraints |
| Philosophy | Scientific realism; partial-knowability determinism |