Indiscrete Scalar Ontology: Resolving Open Limitations and Closing Derivation Gap

Key Points

• This work aims to resolve existing limitations of the scalar ontology framework and to establish rigorous foundations for its applications.
• Derived the resonance function using maximum entropy principles.
• Developed correspondence proofs for special relativity, quantum mechanics, thermodynamics, and general relativity.
• Executed a five-dimensional derivation of gravitational dynamics derived from θ-space geometry.
• Formulated quantitative predictions for neuroscience applications with criteria for falsification.
• Successfully derived the resonance function from maximum entropy techniques.
• Established rigorous correspondence proofs enhancing understanding across multiple physical theories.
• Demonstrated the utility of the scalar ontology framework in providing quantifiable predictions for neuroscience.