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Heim's mass formula
This page is an ongoing effort to explain the terms of the mass formula for elementary particles that the theoretical physicist Burkhard Heim published in 1989. The formula predicts with unprecedented exactness the masses of elementary particles, but is scarcely documented and has not yet been sufficiently peer reviewed.
Contents
The formula
Heim's mass formula [1]:
M = μα+ [(G + S + F + φ) + 4qα-]
is derived from the mass spectrum formula [2]:
m = α4η [ 2N / ( 2N - 1) ]1/2
The terms
M: The mass of an elementary particle.
m:
N:
μ:
S:
F:
φ:
α:
η:
Q:
- section to be expanded
G
This term of the mass formula is an auxiliary function defined as [3]:
- G = Q12 (1 + Q1)2 N1 + Q2 (2Q22 + 3Q2 + 1) N2 + Q3 (1 + Q3) N3 + 4Q4
G
Number of the structural subcomponents of an elementary particle. The number can probably be assimilated to number of quarks in the Standard Model, and is defined as 2 for mesons and 3 for baryons. [4]
References
Burkhard Heim, 1977. Recommendation of a Way to a Unified Description of Elementary Particles [Heim1977].
Resources
Papers from the Heim Theory research group (2003)
- Heim's Mass Formula, 1982 [Heim82]
- Heim's Mass Formula, 1989 [Heim89]