323 | Jacob Barandes on Indivisible Stochastic Quantum Mechanics

What It Covers

Jacob Barandes presents indivisible stochastic quantum mechanics, a radical alternative to standard quantum theory that eliminates wave functions entirely, replacing them with particles following non-Markovian stochastic laws where future behavior depends on complete past history, not just present state.

Key Questions Answered

• •Non-Markovian dynamics foundation: Barandes' theory abandons the Markov assumption that dominated physics since Newton—where knowing present state predicts future behavior. Instead, particles follow stochastic laws requiring knowledge of entire past trajectories to make probabilistic predictions, fundamentally breaking from three centuries of physical law formulation while maintaining empirical adequacy with standard quantum predictions.
• •Wave function elimination strategy: The theory operates without wave functions as fundamental entities, treating electrons and particles as localized objects moving discontinuously through space via indivisible stochastic processes. These processes cannot be subdivided into smaller time intervals while maintaining predictive power, representing a complete departure from Hilbert space formalism introduced by Dirac and von Neumann in 1930-1932.
• •Decoherence origins traced: David Bohm introduced decoherence in his 1951 textbook "Quantum Theory" section 22.8, showing measurement interactions create non-interfering branches—decades before the concept became central to quantum computing and information theory. This foundational contribution went largely unrecognized, with Bohm facing career exile rather than receiving credit for work now essential to quantum technology development.
• •Many Worlds probability problem: Everett's approach requires increasingly complex proofs to derive Born rule probabilities—from Everett's one-page argument to Deutsch's fifteen pages to Wallace's eighty-three pages in "The Emergent Multiverse." This escalating complexity raises concerns about circular reasoning, where assumptions equivalent to conclusions may hide within intricate mathematical formalism requiring numerous metaphysical premises about personal identity across branches.
• •Relativistic quantum field challenges: Bohmian mechanics works elegantly for non-relativistic spinless particles but becomes severely complicated or potentially unworkable for relativistic quantum field theories with fermions and interactions. After seventy years of development since Bohm's 1952 papers, the approach still cannot adequately explain phenomena like Rayleigh scattering responsible for blue sky color, suggesting fundamental limitations beyond mere technical difficulty.