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)

Jena/Germany, MP 1.3 (2013)

Abstract:

Insufficiency complaints at most are ranging about singularities or the arbitrariness of input assumptions, which might be controlled but not satisfactorily founded:

Six main problems of field theories are traced back to their roots:

- The infinitesimal calculus is promoting continuous models - ignoring error bars confining basic physics to finite, atomistic models.
- The variation principle, once good for point mechanics, introduced hosts of arbitrary parameters instead of relying on consistent correlations by Clebsch-Gordon coefficients.
- And cosmologists, tightly sticking to diff. geometry, are strictly ignoring the implications of group theory.

Six main problems of field theories are traced back to their roots:

- Infrared singularities.
- Inconsistencies resulting from Kronecker deltas.
- Ultraviolet singularities.
- Arbitrary coupling constants.
- The variation principle, basic to the "standard model".
- Mathematical limits (implying infinities).