The Law of Relativity and Absolutes: Unifying Classical and Quantum Mechanics from the Time-Varying Privileged Frame
Creators: name: Ho, Daniel William
Publisher: name: Zenodo
Year: 2024
Subjects: Quantum Mechanics, General Relativity, Quantum Coherence, Field Theory

description: This publication, including the full disclosure of supplementary materials, the mathematical model, and computerized simulations for the Privileged Frame (Patent Pending), is licensed under a Creative Commons Attribution-NonCommercial-NoDerivs 4.0 International License (CC BY-NC-ND 4.0). The content explores the intersection of classical and quantum mechanics through the Quantum Coherence Field Theory (QCFT) and the Law of Relativity and Absolutes. The full disclosure aims to elucidate how the principles of relativity and absolutes facilitate the reconciliation of quantum entanglement with classical mechanics.

The Law of Relativity and Absolutes: Unifying Classical and Quantum Mechanics:





First Law: Time and Spacetime Dilation "When time dilation is absolute relative to the static structure of spacetime, spacetime dilation must be relative. Conversely, when time dilation is relative, spacetime dilation must be absolute."




Privileged Frame Concept The concept of a privileged frame is essential in the Law of Relativity and Absolutes. This frame allows for the determination of simultaneity and co-location of events, which might not be possible in other frames. In the privileged frame, we observe the absoluteness within the relativity of time dilation and spacetime dilation as described in the first law.




Second Law: Absolute Simultaneity In the privileged frame, the simultaneity of events is absolute. This means that the temporal order and spatial relationships of events are uniquely determined and invariant, reflecting the true nature of simultaneity. Absolute simultaneity in the privileged frame provides a definitive understanding of the sequence and co-location of events, which remains consistent regardless of the relative motion or position of observers in other frames.




Time-Variance of the Privileged Frame In the Law of Relativity and Absolutes, the privileged frame is not static but varies with time. This time-variance allows the privileged frame to adapt to the changing conditions of events, ensuring the consistent determination of simultaneity and co-location relative to the static structure of spacetime. The privileged frame evolves to maintain the absoluteness of time dilation and spacetime relationships as described in the laws of the theory.



The symmetrical invariance of magnitude separation between arbitrary relativistic events in the privileged frame as postulated in the Law of Relativity and Absolutes provides a basis for determining absolute simultaneity and spatial co-location of events within the framework of both Special and General Relativity.

View the Privileged Frame in perspective:



The theory posits that all satellite-based and fiber-based quantum communication and computing over long distances will heavily depend on synchronizing with the privileged frame to maintain the stability of quantum states.


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Based on the algorithm for finding the optimal velocity of the privileged frame between two relativistic events over time, note the stabilization of the privileged frame as time passes to maintain constancy in the magnitude separation of the events within the frame. The computerized simulation accounts for both inertial time dilation and gravitational time dilation for either statically flat or curved spacetime scenarios.


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Regardless of the increasing spatial separation over time between two initially simultaneous relativistic events, their magnitude separation remains constant within the privileged frame. The vector velocities of these relativistic events can differ, yet this constancy and consistency are universal within the privileged frame in determining absolute simultaneity.


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Simultaneity between two events is determined by the constancy of their magnitude separation over time within the privileged frame which in the case of the figures to the left, the transformed absolute magnitude spatial positions of Event A and Event B are plotted. Events that were never simultaneous initially will never yield this constancy within the privileged frame, as shown in the figures to the right which also has the transformed absolute magnitude spatial positions of Events A and B plotted. This consistency is universal within the privileged frame in determining absolute simultaneity, hence the law of relativity and absolutes.


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Please note that the underlying invention, including the supplementary materials, the mathematical model, and computerized simulations for the Privileged Frame, as well as the algorithm and implementations described herein, is protected under U.S. Patent Application Nos. 18/776,230, 18/778,880 and 18/780,476, and related international filings. The Creative Commons license applies to the paper's publication only, and not to the patent rights or any commercial use of the invention.