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Lettere al nuovo cimento della societa italiana di fisica/Lettere al nuovo cimento

Chronon in quantum theory

P. Caldirola

Published Apr 1, 1977• 9 citations
Publisher
DOI
10.1007/bf02785060

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Chronon Quantum Mechanics: A Reformulation of Quantum Theory via Temporal Flow

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We introduce Chronon Quantum Mechanics (CQM), a novel foundational framework for quantum theory derived from Chronon Field Theory (CFT) , in which time is modeled as a smooth, unit-norm, future-directed vector field Φμ(x) on a Lorentzian manifold. Unlike conventional quantum mechanics, where time is treated as an external parameter, CQM posits that quantum states evolve relative to the physical foliation generated by Φμ, the “Real Now.” This reformulation yields a new quantization scheme in which wavefunctionals are defined on Chronon-sliced hypersurfaces, and quantized matter arises from topologically nontrivial configurations of temporal flow.We demonstrate how familiar quantum phenomena—such as spin, statistics, the Pauli exclusion principle, and gauge interactions—emerge from the topology and dynamics of Φμ. We further show that CQM addresses major conceptual puzzles, including the measurement problem, the arrow of time, and quantum nonlocality, through a causal and background-independent temporal ontology. To validate the theory, we present numerical simulations of Chronon solitons, confirming quantized winding, coherent propagation, and annihilation dynamics. These results support the identification of w=±1 solitons as fermionic precursors and w=0 as bosonic modes. Finally, we outline testable deviations from standard quantum theory—such as modified scattering amplitudes, decoherence patterns, and gravitational wave signatures—positioning CQM as a coherent, predictive, and empirically accessible alternative to conventional quantum foundations.

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Entanglement, Bell Inequalities, and Intrinsic Temporal Structure in Chronon Field Theory

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We present a rigorous reformulation of entanglement and Bell-type quantum correlations within the framework of Chronon Field Theory (CFT), a novel approach to quantum mechanics grounded in an intrinsic temporal vector field Φµ(x). This field defines a physical foliation of spacetime and enables a causal, local, and background-independent explanation of quantum cor relations. We develop the formal structure of Chronon Quantum Mechanics (CQM), re-express entangled states as topologically and causally coherent field configurations, and demonstrate how Bell inequalities are violated without invoking acausal nonlocality. Our results suggest a new foundation for quantum nonlocality rooted in the geometry of temporal flow.

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We introduce Chronon Quantum Mechanics (CQM), a novel foundational framework for quantum theory derived from Chronon Field Theory (CFT) , in which time is modeled as a smooth, unit-norm, future-directed vector field Φμ(x) on a Lorentzian manifold. Unlike conventional quantum mechanics, where time is treated as an external parameter, CQM posits that quantum states evolve relative to the physical foliation generated by Φμ, the “Real Now.” This reformulation yields a new quantization scheme in which wavefunctionals are defined on Chronon-sliced hypersurfaces, and quantized matter arises from topologically nontrivial configurations of temporal flow.We demonstrate how familiar quantum phenomena—such as spin, statistics, the Pauli exclusion principle, and gauge interactions—emerge from the topology and dynamics of Φμ. We further show that CQM addresses major conceptual puzzles, including the measurement problem, the arrow of time, and quantum nonlocality, through a causal and background-independent temporal ontology. To validate the theory, we present numerical simulations of Chronon solitons, confirming quantized winding, coherent propagation, and annihilation dynamics. These results support the identification of w=±1 solitons as fermionic precursors and w=0 as bosonic modes. Finally, we outline testable deviations from standard quantum theory—such as modified scattering amplitudes, decoherence patterns, and gravitational wave signatures—positioning CQM as a coherent, predictive, and empirically accessible alternative to conventional quantum foundations.
We introduce Chronon Quantum Mechanics (CQM), a novel foundational framework for quantum theory derived from Chronon Field Theory (CFT) , in which time is modeled as a smooth, unit-norm, future-directed vector field Φμ(x) on a Lorentzian manifold. Unlike conventional quantum mechanics, where time is treated as an external parameter, CQM posits that quantum states evolve relative to the physical foliation generated by Φμ, the “Real Now.” This reformulation yields a new quantization scheme in which wavefunctionals are defined on Chronon-sliced hypersurfaces, and quantized matter arises from topologically nontrivial configurations of temporal flow.We demonstrate how familiar quantum phenomena—such as spin, statistics, the Pauli exclusion principle, and gauge interactions—emerge from the topology and dynamics of Φμ. We further show that CQM addresses major conceptual puzzles, including the measurement problem, the arrow of time, and quantum nonlocality, through a causal and background-independent temporal ontology. To validate the theory, we present numerical simulations of Chronon solitons, confirming quantized winding, coherent propagation, and annihilation dynamics. These results support the identification of w=±1 solitons as fermionic precursors and w=0 as bosonic modes. Finally, we outline testable deviations from standard quantum theory—such as modified scattering amplitudes, decoherence patterns, and gravitational wave signatures—positioning CQM as a coherent, predictive, and empirically accessible alternative to conventional quantum foundations.
We present a rigorous reformulation of entanglement and Bell-type quantum correlations within the framework of Chronon Field Theory (CFT), a novel approach to quantum mechanics grounded in an intrinsic temporal vector field Φµ(x). This field defines a physical foliation of spacetime and enables a causal, local, and background-independent explanation of quantum cor relations. We develop the formal structure of Chronon Quantum Mechanics (CQM), re-express entangled states as topologically and causally coherent field configurations, and demonstrate how Bell inequalities are violated without invoking acausal nonlocality. Our results suggest a new foundation for quantum nonlocality rooted in the geometry of temporal flow.