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Quantum gravity (QG) reduces the infinite number of classical transformations to the finite number of their generators. As a Dirac algebra, they form the basis of a U(2,2) of 4x4=16 pairs of 4 discrete types of quanta. Einstein's General Theory of Relativity (GR) is a defective application of its conformal subgroup SO(2,4).
The experiment identifies its CPT extension to a U(4,4) of a complex Lie algebra as a correct description of our universe in the large and the dynamics of quantised particles in the small. Black holes are free of singularities, swallow energy-momentum, and return spacetime. Pseudo-unitarity is the engine of time.
Forces prove the "Theory of Everything" (ToE) to be an 8-fold degeneracy of QG, which, like GR, is fully geometrizable. It describes the world of elementary particles with their non-valence structures and flavours, dark energy, dark matter, and the filaments and voids of Galactic Walls. Weak interactions do not break any conservation law.
Due to 8x8=2**6, the ToE provides exactly 6 Goldstone particles with spins 2, 1, and 1/2: graviton, photon, 3 left-handed neutrinos, a sterile meson. The graviton separates input from output; as a simulation effect of Young tableaux, antimatter is largely suppressed. QG and ToE attribute all physics solely to the occupation numbers of the ToE quantum types and to our current position in our universe. This way, ToE allows to derive the numerical particle spectrum including masses by theory.
According to Bell's superdeterminism, our universe is invariant; there is no free will. Dynamics compares fixed observer positions and identifies local variation as "motion".
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Veröffentlichungsjahr: 2021
Nature is what man and his senses recognise and derive from it. The subjective sensory impressions (“perceptions“) of an individual are called observer positions. Repetitions of such sense-impressions together with derivations are called experiences.
Now, humans are part of nature, and other living beings have other senses and other experiences. It is the task of physics to collect reproducible experiences, to relate them to each other and to eliminate the specifics typical of individual beings from them as far as possible.
Errors and short cuts of the past demand a mathematically clean implementation of measurability and reproducibility. Thus, the reduction of classical transformations to their generators inevitably leads to the absolute conservation of a finite number of invariant quanta. Consistency and completeness, guaranteed by Young tableaus free of symmetry breaks, categorically exclude singularities. The law of great numbers opens up the macrocosm and remedies the classical problems of the measuring process.
The addition of antifermions to the Dirac algebra for fermions gives rise to the U(4,4) of quantum gravity (QG) with event horizon and Big Bang scenario. According to the TCP theorem, the physics inside the black hole is equivalent to ours (with the time arrow reversed). The spin-like rotation around the energy axis drives an endless counter-rotating cycle between CMS time (sin) and heavy mass (cos), which constantly swap roles over eons of years.
A sense of time is widespread – at least for reaction times. The sense of touch, essential for survival, registers positions (relative locations) and (tactile) impulses of structures in the immediate vicinity. Animals usually also possess an optical sense for the remote detection of changes in such structures between two registrations at intervals of a specific reaction time. While reptiles often only perceive changes in the position of structures, the optical sense will be used more generally also to locate them at a distance.
The change of a structure between 2 registrations in the distance of its reaction time helps a living being capable of this to identify objects (pattern recognition). By interpolation, it determines their status of motion (speed and direction). By extrapolation, a transitive logic also leads to foresight, which is useful for its hunting behaviour.
Interpolations and extrapolations are not perceptions, but fictitious additions to them. Due to the existence of reaction times, we should not include motion in the category of perceptions; they are quantities artificially derived from discrete individual perceptions.
Human physics constructs the concept of a mass from momentum and velocity with the help of logic (division). Experience teaches us that the momentum and mass of two objects behave "linearly" (= additively) – but this does not apply to velocity.
The same duality as between linear momentum and non-linear velocity is also provided by physics for the concepts of a (linear) centre-of-mass location and a (non-linear) location: Their quotient again gives rise to (heavy) mass.
The primary terms "velocity" and "location" from the optical sense, thus, turn out to be derived secondary terms from "momentum" and "CMS-location", respectively, each generated by division by their (heavy) mass. Mathematics calls this type of representation by quotient formation a "ray representation" (chapter 4.1). People perceive nature in its ray representation.
Without the ray representation, i.e., in its additive, "linear" description, fundamental physics becomes simpler. We recognised its basic principles, already:
From the conservation of probability in the reaction channel it follows that products of a particle reaction – even if they are originally generated via the dynamic channel – must always be multiplied with each other as if all factors had come about unitarily: The reaction channel characterises static processes (change of the observer's point of view) by r-numbers, the dynamic channel compares them as motion (dynamics) by c-numbers (chapter 2.2.9).
This clear separation in the description of thermodynamically "closed" vs. "open" systems guarantees the physical coexistence of (static) entanglement and (dynamic) causality despite their mutual incommensurability.
Finiteness (point 1a) requires that all pseudo-unitary representations must remain finite-dimensional, too. (Since classical particle physics does not distinguish between the two channels, it must either choose its pseudo-unitary representations to be infinite-dimensional or violate probability conservation. This circumstance also leads to Feynman's singularities.)
If we now add the ray representation, we still obtain:
(The 4th space dimension is subject to group contraction.) The above U(4,4) forms the basis of quantum gravity (QG).