The Final Theory of Physics - a Tautology?

Abstract

We acuminate the idea of a final theory of physics in order to analyze its logical implications and consequences. It is argued that the rationale of a final theory is the principle of sufficient reason. This implies that a final theory of physics, presumed such a theory is possible, does not allow to incorporate substantial (nontrivial) propositions unless they are logically or mathematically deduced. Differences between physics and mathematics are discussed with emphasis on the role of physical constants. It is shown that it is logically impossible to introduce constants on the fundamental level of a final theory. The most fundamental constants emerging within a final theory are constants of motion.It is argued that the only possibility to formulate a final theory is necessarily a tautology: A final theory of physics can only be derived from those presumptions about reality that are inherent in the idea and practice of physics itself. It is argued that a final theory is based on the notion of objectivity, but it is logically impossible that an ideal final theory supports realism.

The Simplest Form of the Lorentz Transformations

“…Because, if we had good (mathematical, logical) reasons, we would not need to postulate a law: The "law" would simply be a theorem, a conclusion derived from "deeper" principles. Even if the acceptance of LORs has a long tradition in physics, it can be taken as an indicator that a theory is not final and/or fundamental [32]. And here is the problem with a (premature) introduction of the unit imaginary: Once we accept the (by the means of LOR) postulate that a quantum mechanical spinor (wave-function) must be (by means of LOR) complex valued, the underlying logic of Hamiltonian theory becomes almost invisible.…”

“…In two preceeding essays we argued that, on some fundamental level of DVs, only the second and higher (even) moments of the DV are direct observables [16,32] 10 . tioned at the end of Dirac's celebrated paper on the 3 + 2 de Sitter Group [24], namely the connection of the Dirac algebra with the Lie algebra sp(4) of the real symplectic group Sp(4).…”

“…is required to be positive definite and constant. It is supposed to "provide a reference" for the measurement for any other second-order expressions of ψ [16,17,32]. This means that A can be, generally speaking, any arbitrary symmetric positive definite real 4 × 4 matrix.…”