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Quantum Gravity Grand Unification New Physics
Lecture Notes to DPG Spring Conferences
What Does Go Wrong with Field Theories?
Alternatives to 6 Points Worth to Be Rediscussed
C. Birkholz
presented at the joint DPG Spring Conf. on Gravitation, on the Mathematics of Physics, and on the Philosophy of Physics,
Jena/Germany, MP 1.3 (2013)
Insufficiency complaints at most are ranging about singularities or the arbitrariness of input assumptions, which might be controlled but not satisfactorily founded:
  1. The infinitesimal calculus is promoting continuous models - ignoring error bars confining basic physics to finite, atomistic models.
  2. The variation principle, once good for point mechanics, introduced hosts of arbitrary parameters instead of relying on consistent correlations by Clebsch-Gordon coefficients.
  3. And cosmologists, tightly sticking to diff. geometry, are strictly ignoring the implications of group theory.
The latter point prevented the quantization of space-time and general relativity for a century. Quantum gravity with its far-reaching implications as propagated since 2010, however, still did not yet arrive at most institutes officially.
Six main problems of field theories are traced back to their roots:
  1. Infrared singularities.
  2. Inconsistencies resulting from Kronecker deltas.
  3. Ultraviolet singularities.
  4. Arbitrary coupling constants.
  5. The variation principle, basic to the "standard model".
  6. Mathematical limits (implying infinities).