The True Value of the Fine Structure Constant Revealed
| Scientific Paper | |
|---|---|
| Title | The True Value of the Fine Structure Constant Revealed |
| Read in full | Link to paper |
| Author(s) | Jeffrey M Lee |
| Keywords | fine structure constant |
| Published | 2005 |
| No. of pages | 11 |
Read the full paper here
Abstract
In this paper we illustrate how, for the first time ever in the history of Physics, we are able to use the observed physical configuration of the atom's orbits to reveal the correct value of the Fine Structure Constant to be: 7.29907563x10-3 We also reveal how this new value of the Fine Structure Constant is directly responsible for mathematically describing the actual internal physical structure of the atom's orbits ultimately determining their size and positional spacing in relation to the nucleus, now enabling us to better understand the operating parameters of the atom as it interacts with photons, and with other atoms.
Overview
Jeff Lee writes from the Center for Reality Physics in Temecula, California. His claim is that the accepted value of the fine structure constant, α = 7.297352570×10−3, is simply wrong, and that the correct value — 7.29907563×10−3, or 1/137.0036496 — can be read directly off the geometry of the atom's orbits. The programme he calls "Reality Physics" holds that "all matter is made of light", that an electron is "a photon spinning at the speed of light", and that the universe is "totally perfect within its vast scope of operation down to the smallest detail", from which he infers that any correct equation of atomic structure must return exact integers.
The departure from the mainstream account is not a refinement but a rejection. Lee argues that because quantum mechanics accepts the uncertainty principle it describes an "imperfect" universe and therefore "there is no possible way Theoretical Physicists today, or at any time in the foreseeable future, will ever have any possible chance whatsoever of discovering the true value of the Fine Structure Constant". His integer results are offered as a disproof of the uncertainty principle itself, since knowing that exactly 137 discrete units fit around the first orbit is said to fix the electron's position and velocity simultaneously.
The argument
Spin digits
The central construct is the spin digit: an "electron sized sphere a Compton wavelength in size". Lee's starting observation is that exactly 137 of them fit around the circumference of the innermost orbit [n1]. For the general orbit, the radius grows as n2 and the surface area as n4, so the circumference holds 137n2 spin digits and the surface holds the square of that number:
- [n1] = 1372 = 18,769; [n2] = 5482 = 300,304; [n3] = 12332 = 1,520,289; [n4] = 21922 = 4,804,864; [n5] = 34252 = 11,730,625
The time-dilation derivation
Fig. 1 begins from α = Vo[n1]/c. Because the orbiting electron moves at 2,188,208 m/s, it undergoes a time dilation of Δt[n1] = 0.999973361 relative to the nucleus, and this "causes the particle spin rate of the electron to slow down", which is what allows exactly 137 spin digits to fit the circumference. Substituting Vo[n1] = Δt[n1]×c/137 into α = Vo/c and cancelling the cs gives
- α = Δt[n1]/137 = 0.999973361/137 = 7.29907563×10−3 = 1/137.0036496
The Quantum Signature Foundation Equation
Lee then offers an independent confirmation. Squaring 137 gives 18,769 spin digits in the surface of [n1], and substituting that with the orbit number into his "Quantum Signature Foundation Equation" — which in its solved form reads #SD[n] = [#n]4/α2 − [#n]4 — reproduces the same value, since 1/(18,769 + 1) = 1/18,770. Running it forwards for [n2] with α = 7.29907563×10−3 returns 300,304, "exactly matching" 5482, and the same holds for every orbit. Lee stresses that the equation "will NOT work using any other value" and that the accepted α yields "non-integer values having no interconnection at all with observed atomic structure".
A second equation (Fig. 5) links the spin-digit count to the electron capacity of each shell, returning 2, 8, 18, 32 and 50 electrons for orbits [n1] to [n5] with his value, but 2.00005325, 8.00021299, 18.0004793, 32.0008521 and 50.0013311 with the accepted one — "it is more than obvious to us it is not possible to have 2.000,053,25 electrons". Fig. 6 collects nine further routes to the same number, all built from 137: 274 = 2×137, 18,769 = 1372, 18,770 = 1372+1, 37,538 = 2×1372 and 37,539 = 2×1372+1. He notes that the accepted value lies "within about only 1/580,000th" of his, so that academia "was indeed very close to finding this correct answer but could not because they simply didn't know where to look".
Assessment
The paper is clearly written, its diagrams are legible, and it states a falsifiable numerical claim rather than hiding behind formalism — which is more than many papers of its kind do. Lee's declared "Prime Directive", that the universe rather than the theory is the arbiter, is exactly the right standard, and it is by that standard that the paper has to be judged.
The arithmetic is internally correct. 0.999973361/137 = 7.29907563×10−3, and its reciprocal is 137.0036496. The spin-digit table is right: 137n2 squared gives 18,769, 300,304, 1,520,289, 4,804,864 and 11,730,625 for n = 1 to 5, exactly as printed. The Gilson expression he quotes as equation (1), cos(π/137)·tan(π/(137·29))/(π/(137·29))/137, does evaluate to 1/137.0359997867. Nothing is mis-multiplied anywhere in the paper.
But the derivation is circular, and provably so. Write his own two steps together: α = Δt/137 and Δt = √(1 − α2). Then 137α = √(1 − α2), so 18,769α2 = 1 − α2 and α = 1/√18,770 = 1/137.0036496. The velocity 2,188,208 m/s is not an independent input either — it is c/137.0036496, i.e. his own answer fed back in. So the whole of Fig. 1 amounts to defining α ≡ 1/√(1372+1). The "Quantum Signature Foundation Equation" is then not a confirmation but the same statement rearranged: #SD[n] = n4/α2 − n4 = 18,770n4 − n4 = 18,769n4 = (137n2)2, which is just the table he started from. It returns integers for his α because it was constructed to, and for no other reason. The same holds for the nine "different ways" in Fig. 6: 18,770 = 1372+1 and 37,539 = 2×1372+1 are the same relation written twice.
The one real observation in the paper is a standard identity, not a discovery. That exactly 1/α Compton wavelengths fit around the first Bohr orbit is a theorem, not a coincidence: the Bohr radius is a0 = λC/(2πα), so 2πa0/λC = 1/α identically, and for orbit n the count is n2/α. Lee has rediscovered the definition of the Bohr radius. The count is therefore 137.036n2, not 137n2; rounding it to an integer is the assumption that generates everything else, and it is the assumption that needs defending.
Conflict with measurement. α is not an unknown. It is measured, most precisely from the electron's anomalous magnetic moment combined with QED and independently from atom-recoil measurements of h/m, giving 1/α = 137.035999177(21) — a relative uncertainty of about 1.6×10−10. Lee's 137.0036496 differs by 236 parts per million, which is roughly 1.5 million times the experimental uncertainty. His "1/580,000th" is the absolute difference between two numbers of order 7×10−3; the relative difference — the only meaningful one for a dimensionless constant — is 1/4,236. Two further points weigh against the picture as a whole. The same α that Lee rejects is what makes QED's prediction of the electron g-factor agree with experiment to about one part in 1012, the most precisely confirmed prediction in physics; changing it by 236 ppm destroys that agreement. And α is not a fixed geometric ratio at all: it runs with momentum transfer, and 1/α measured at the Z mass at LEP is about 128, not 137 — a fact no property of the hydrogen ground-state orbit can accommodate.
Other difficulties. The premise that an electron is "a photon spinning at the speed of light" and that "light always travels at the speed of time" is asserted, never derived, and no dynamics follow from it. The step from a circumference count to a surface count by squaring is geometry by analogy — a sphere's area is not the square of its equator's circumference in units of a packing diameter. The claim to have disproved the uncertainty principle does not engage the principle, which is a theorem about the Fourier-conjugate relation between position and momentum distributions and is confirmed directly by single-slit diffraction, not a statement about whether a number is an integer. It is also worth noting that Lee treats James Gilson's formula, taken from Wikipedia, as "the currently accepted computation" of α; it is not — it is a numerical coincidence with no derivation behind it, and the accepted value is a measurement. Finally, the deviations he reports for the accepted α in Fig. 5 are exactly n2α2 in size, so the equation there differs from 2n2 by a factor of order (1 + α2/2); that equation is set as an image and could not be read from the file, but a correction of that form does not vanish for 7.29907563×10−3 either.