The Electron's Spin Angular Momentum of 1ℏ is a Fundamental Physical Fact, Not an Assumption or Claim of Natural Quantum Theory (NQT). The Value of 1/2 Found in Existing Theories and Textbooks is the Result of a Historical Error That Has Never Been Recognized, Combined with Abstract Corrections.
The Chain of Facts
Experimental Observation: Spectroscopic experiments in atomic systems measure an angular momentum contribution of 21ℏ .
The Apparent Nature of this Value: This factor of 21 is an apparent value. It represents the effective manifestation of electron spin within the environment of an atomic orbit, not a direct reading of the electron's intrinsic spin ontology.
Thomas Precession: Thomas precession is a purely relativistic kinematic effect. When an electron undergoes curved motion in the Coulomb field of an atomic nucleus, its own reference frame experiences an additional precession relative to the laboratory frame. The factor for this precession is exactly 21 .
The Deduction: This means the 21 observed in spectroscopy has already been "discounted" by Thomas precession. Deducting this kinematic factor reveals that the electron's intrinsic (ontological) spin angular momentum is 1ℏ —a complete quantum of angular momentum.
The Historical Misalignment
When pioneers were establishing quantum mechanics, they directly identified the spectroscopic apparent value of 21 as the electron's intrinsic spin quantum number. While the specific historical details of this decision are not entirely clear, its consequences have been profound:
Rooting the Error: The value s=21 was written into the foundations of the theory.
The Conceptual Crisis: Subsequently, to make this "half-integer angular momentum" conceptually self-consistent—since classical angular momentum never appears as a half-integer—the theoretical response was not to correct the numerical value. Instead, spin was stripped from the concept of angular momentum.
Abstractification: It was declared to be an "intrinsic property with no classical counterpart." Thus, spin became abstracted: it still satisfies the commutation relations of angular momentum, is still associated with a magnetic moment, and still participates in angular momentum coupling and conservation, yet we are told it is "not angular momentum."
The Signal of Error: This ambiguous relationship itself is a signal that something went wrong. For reasons unknown, the factor of Thomas precession was overlooked.
Conclusion
The assertion that the electron's intrinsic spin is 1ℏ is not a theoretical hypothesis or a unique claim of NQT. Rather, it is a physical fact induced from existing experimental data and known relativistic effects.
What NQT has done is restore this fact to its proper place in theory, not invent it. The problem with the standard theory lies not in a lack of data, but in the misattribution of data: mistaking an apparent value for an ontological one, and then using abstractification to cover up the conceptual difficulties arising from this error.
