The qubit is the simplest object. The mathematical semantics of qubits consists of Hilbert Spaces, rays, vectors & tensor products. A qubit is represented by a 2d complex vector space (Hilbert Space) and the possible states by rays in this abstract space. A qubit is global, i.e:non-local. From many qubits interactions, represented as tensor products between their respective spaces, localized objects like particles emerge. (For visualization think about many sinewaves, each cosmologically extended, multiplying each other and “collapsing” into localized frequencies).
qubit as a bloch sphere
Whats the meaning of this? The physical semantics is very simple: we associate a fundamental, binary alternative to each qubit, an empirically decidable yes-no question. Whats called an observable in quantum theory (QT). Fundamental alternatives are alternatives that cannot be further decided. We can decompose any object via alternatives and arrive at fundamental ones, in this way we can construct with qubits all possible energetic and material objects in time-space.
sines as an example of extended objects that become localized trough interaction
If we are in state A the probability of finding some state B after deciding an alternative is given by taking the square of the absolute value that results from the inner product between the normalized vectors that represent A and B. The state space of the qubit is symmetrical: the states are indistinguishable and there's a group of transformations that define a metric (Hilbert Space) that is kept invariant under those transformations; this also means that the probability function is not affected by time evolution.
What is space? the symmetric group SU(2) of the qubit is locally isomorphic to the group SO(3) of rotations in 3d space (Euclidean Space). All dynamics is interaction. Its doesn't makes sense to speak about an “absolute, independent space”. Position space (3d space) represents the parameter of interaction for all objects, it emerges from objects. We experience a plurality of objects in space-time. In other words, space-times only makes sense if we think about independent and multiple interacting objects, we know through interaction.
To derive relativity from QT we need a specific dynamical law. All interactions are interactions between qubits. We postulate that the symmetric group of the interacting qubits must be the same as the defined by the state space of the free qubit (independent qubit) . This group is isomorphic to the space part of Einstein spacetime, we connect it to time in the same way.
Time isn't space. The distinction between past-future is Lorentz invariant, relativity doesn't dissolves it. Thermodynamics presuppose the distinction, doesn't explains it neither. Empirical alternatives assumes the distinction. But at the same time we know that the separability of alternatives, hence qubits, is not fundamental. Free and independents objects are an approximation, physics works in this approximation.
The Universe as an independent object is the limit of our approximation, our logic breaks with it. Objects are objects for a subject. In our approximation we can describe the Universe as growing with the creation of more fundamental objects. Information grows with time. The "irreversible loss of information" associated with a measurement is always just possible, with probability near 1. This is because the information escapes, for example as photons, into the expanding, mostly “void” environment. But for a closed system, the universe, information is never really lost, so the distinction between past and future cannot be fundamental. Physics is our attempt to explain experience, our laws express the preconditions for the possibility of experience. These preconditions are the structure of time and the separability of alternatives. QM is the explanation of finite experience. Metaphysics is the drawing of this limit, beyond this we enter into the unknown, unspeakable.
Time isn't space. The distinction between past-future is Lorentz invariant, relativity doesn't dissolves it. Thermodynamics presuppose the distinction, doesn't explains it neither. Empirical alternatives assumes the distinction. But at the same time we know that the separability of alternatives, hence qubits, is not fundamental. Free and independents objects are an approximation, physics works in this approximation.
The Universe as an independent object is the limit of our approximation, our logic breaks with it. Objects are objects for a subject. In our approximation we can describe the Universe as growing with the creation of more fundamental objects. Information grows with time. The "irreversible loss of information" associated with a measurement is always just possible, with probability near 1. This is because the information escapes, for example as photons, into the expanding, mostly “void” environment. But for a closed system, the universe, information is never really lost, so the distinction between past and future cannot be fundamental. Physics is our attempt to explain experience, our laws express the preconditions for the possibility of experience. These preconditions are the structure of time and the separability of alternatives. QM is the explanation of finite experience. Metaphysics is the drawing of this limit, beyond this we enter into the unknown, unspeakable.
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