A classical explanation of quantization

Abstract

In the context of our recently developed emergent quantum mechanics, and, in particular, based on an assumed sub-quantum thermodynamics, the necessity of energy quantization as originally postulated by Max Planck is explained by means of purely classical physics. Moreover, under the same premises, also the energy spectrum of the quantum mechanical harmonic oscillator is derived. Essentially, Planck's constant h is shown to be indicative of a particle's "zitterbewegung" and thus of a fundamental angular momentum. The latter is identified with quantum mechanical spin, a residue of which is thus present even in the non-relativistic Schroedinger theory.

20 pages; version accepted for publication in Foundations of Physics

References in corpus (8)

• On the Origin of Gravity and the Laws of Newton
• Thermodynamical Aspects of Gravity: New insights
• Path-memory induced quantization of classical orbits
• The Vacuum Fluctuation Theorem: Exact Schroedinger Equation via Nonequilibrium Thermodynamics
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• Spin and Madelung fluid
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• Elements of sub-quantum thermodynamics: quantum motion as ballistic diffusion

Cited by in corpus (14)

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• The Quantum as an Emergent System
• Towards a mathematical Theory of the Madelung Equations
• Emergence of Quantum Mechanics from a Sub-Quantum Statistical Mechanics
• Relational causality and classical probability: Grounding quantum phenomenology in a superclassical theory
• Frieden wave function representations via an EPR-Bohm experiment
• A holographic map of action onto entropy
• Classical signal model reproducing quantum probabilities for single and coincidence detections
• Extreme beam attenuation in double-slit experiments: Quantum and subquantum scenarios
• "Systemic Nonlocality" from Changing Constraints on Sub-Quantum Kinematics
• Born's Rule as Signature of a Superclassical Current Algebra
• Quantum features derived from the classical model of a bouncer-walker coupled to a zero-point field
• Vacuum Landscaping: Cause of Nonlocal Influences without Signaling
• The weak bound state with the non-zero charge density as the LHC 126.5 GeV state