Reevaluating Foundation of Quantum Mechanics via Theorem of Universal Determinism

It turns out that we can use reason and logic alone to prove that Copenhagen interpretation of Quantum Mechanics is false, which means that the basis of current Quantum Computing are false too, because superposition based on QM's indeterminism, on which QC is relying for its qubits, does not exist.

Definitions

1. Causality: is the principle that effect or event in reality has a preceding cause or set of causes that can be traced and understood, enabling predictable and logical connections between phenomena.

   • Conversational: Causality means things happen for a reason—causes lead to effects, like gravity making a ball fall when dropped.

2. Consistency: Consistency is the principle that no system, statement, or reality can contain internal contradictions without invalidating itself, ensuring logical coherence and non-self-denial.

   • Conversational: Consistency means no contradictions—like you cannot have it both raining and not raining at the same time in the same place.

3. Determinism: is the principle that events, states, or processes in reality are completely governed by prior causal conditions, with no intrinsic randomness, ensuring full predictability given complete knowledge.

   • Conversational: Determinism means an outcome has a definite cause—no surprises if you know all the details, like a chain where one link leads to the next.

4. Indeterminism: is the principle that some events or processes lack complete prior causal determination, introducing inherent randomness thought to be described only by probabilities with full predictability—in principle and in general—impossible. We will prove that indeterminism does not exist.

   • Conversational: Indeterminism means some things happen without a full reason—just chance or odds.

Axioms

1. Reason’s Requirements: Reason exists (we use it) and depends on causality and consistency; without these, reason does not exist.

   • Persuasiveness: Reason’s daily use (e.g., in science) fails in chaos; using reason to deny reason's existence is a self-contradiction, and thus is false.

Theorems

1. Theorem 1: Partial Indeterminism is Impossible—any single instance of indeterminism propagates infinitely, implying universal indeterminism.

   • Proof: Detailed Derivation (by Mathematical Induction):

     • Base Case: Assume particle 1 is indeterministic (causality broken, e.g., unpredictable state).

     • Inductive Step: If particle N is indeterministic, interaction with particle N+1 (e.g., collision) makes N+1’s state unpredictable. Infinite chains (no end) propagate the break eternally.

     • Conclusion: Partial indeterminism, if exists, necessarily implies universal indeterminism. This means indeterminism cannot be partial. It is all or nothing.

   • Persuasiveness: Aligns with propagation of defects in an infinite crystal lattice, a deterministic system in physics. If one atom’s position is undetermined (breaking causality), its interactions disrupt neighbors, spreading the flaw infinitely through the lattice’s endless structure.

   • Intuitively, a crack in an infinite glass sheet ruins the whole; scientifically, this supports the impossibility of partial indeterminism, as any break spreads uncontrollably.

   Transition: This impossibility of partial indeterminism is crucial for Theorem 2, as it eliminates alternatives to full determinism, allowing us to conclude reality’s causal nature.

2. Theorem 2: Universal Determinism. Reality is Fully Deterministic—any indeterminism is false, and thus reality has infinite causal chains and extent without breaks.

   • Proof: Detailed Derivation (Proof by Contradiction):

     • Assume non-determinism (partial or universal). Theorem 1: partial = universal.

     • Universal indeterminism breaks causality/consistency (e.g., random outcomes everywhere).

     • Since reason is part of reality, universal indeterminism makes reason impossible as it contradicts Axiom 1: reason requires causality and consistency, which indeterminism denies. Thus we are using reason to conclude that reason does not exist, which is a self-contradiction.

     • Ergo, reality must be fully deterministic, with infinite causal chains intact.

   • Persuasiveness: Predictable world (e.g., gravity) feels reasonable; causes follow effects.

   • Intuition: Reality’s predictability, like gravity’s consistent pull, suggests no true randomness, only unknown causes.

   • Historically: Confirms Einstein's (1926) intuition that "Quantum mechanics is certainly imposing. But an inner voice tells me that it is not yet the real thing. The theory says a lot, but does not really bring us any closer to the secret of the 'Old One'. I, at any rate, am convinced that He does not throw dice," thus supporting determinism over quantum indeterminism.

   • Addressing Alternatives: This conclusively proves Copenhagen interpretation of Quantum Mechanics, with its entanglement and superposition based on indeterminism false, with probabilism as a mechanism to compensate for observer ignorance as correctly predicted by Einstein-Podolsky-Rosen in 1935. This necessitates rebuilding of Quantum Computing on fully deterministic foundation, which will produce far more results than chasing non-existent superposition.

Implications:

Since indeterminism does not exist, neither does superposition. Which means current Quantum Computing that relies on superposition for its qubits, cannot work.

Thus, Quantum Mechanics and Quantum Computing must be rebuilt on foundation of full determinism.

Edited August 27Aug 27 by AThinker1

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