This article introduces a general notion of physical bit information that is compatible with the basics of quantum mechanics and incorporates the Shannon entropy as a special case. This notion of physical information leads to the Binary data matrix model (BDM), which predicts the basic results of quantum mechanics, general relativity, and black hole thermodynamics. The compatibility of the model with holographic, information conservation, and Landauer’s principle are investigated. After deriving the “Bit Information principle” as a consequence of BDM, the fundamental equations of Planck, De Broglie, Bekenstein, and mass-energy equivalence are derived.
Sec. I. This paper inverts certain quantum mechanical ideas by constructing a "probability of presence" from first principles. If
xi=fi(s,a1,a2) represents a 2-parameter family of curves in 3-dimensional space, the density of the functions
fi with respect to the parameters
a1a2 is defined by means of an expression for the normal cross section of a sheaf of curves. This density plays the role of a probability. Its derivative along a curve of the family is independent of the parameters
a1a2. This circumstance permits a special density to be constructed, called the "characteristic" or "smoothest" density, which is independent of the parameters and which can be found by solving a linear second-order partial differential equation. The extension to
n-dimensional space and ($n\ensuremath{-}1$) parameters is given. Sec. II. The concept of orbital density is the dynamical equivalent of the density of Sec. I. Dividing the orbital density by the velocity of the representative point gives the quantity we call kinematical probability
P, which satisfies the fundamental equation (2.8), and which has the same force as any other probability of presence. Equation (2.8) is used to derive from the Hamilton-Jacobi equation a "wave" equation for $\ensuremath{\surd}P$ for a system of
n planets moving around a sun under the condition that the space average of the mutual interactions of the planets is a minimum. This provides a new approach to planetary dynamics and yields an equation that is very much like Schroedinger's equation for the stationary states of
n particles, and has the same basic interpretation. Sec. III. A non-conservative system of
n particles is assumed to be in a state such that the action function can be written $W=\ensuremath{-}Et+R({x}_{i},t)$ in which
R still contains the time explicitly. Starting with the Hamilton-Jacobi equation, using Eq. (2.8), and imposing the condition that the space average of $\frac{\ensuremath{\partial}R}{\ensuremath{\partial}t}$ is a minimum, an equation [viz., (3.10)] is derived which differs from Schroedinger's equation for stationary states only in certain respects that cannot be regarded as fundamental. Despite this basic equivalence of Schroedinger's equation and our equation (3.10), conflicts in interpretation and formalism arise which are briefly discussed. Sec. IV. Complex
U' s are introduced into Eq. (3.10) in a simple way which fails to bridge the gap between our formalism and that of quantum mechanics. The kinematical probability defined by Eq. (3.10) is shown to have the "smoothest" property. To account physically for the stationary states an electromagnetic wave system is proposed which has the property that a particle moving in it may be in "phase-mechanical" resonance with it. Macroscopic examples of this kind of resonance are given. This concept represents an inversion of physical ideas of quantum mechanics corresponding to the mathematical inversion with which we began.
This paper proposes mass interaction principle (MIP) as: the particles will be subjected to the random frictionless quantum Brownian motion by the collision of space time particle (STP) prevalent in spacetime. The change in the amount of action of the particles during each collision is an integer multiple of the Planck constant h. The motion of particles under the action of STP is a quantum Markov process. Under this principle, we infer that the statistical inertial mass of a particle is a statistical property that characterizes the difficulty of particle diffusion in spacetime. Starting from this principle, this article has the following six aspects of work: First, we derive the mass-diffusion coefficient uncertainty and the quantized commutation, and derive the most basic coordinate-momentum uncertainty and time-energy uncertainty of quantum mechanics, and then clearly reveal the particle-wave duality, which are properties exhibited by particles collided by STP. Second, we created the three decompositions of particles velocity. The comprehensive property of three velocities deduced the equation of motion of the particle as Schrodinger equation, and made a novel interpretation of Heisenberg’s uncertainty principle and Feynman’s path integral expression. And reexamine the quantum measurement problem, so that the EPR paradox can be explained in a self-consistent manner. Third, we reinterpret the physical origin of quantum spins. Each spacetime random impact not only gives the particle of matter the action of a Planck constant , but also produces the quantum fluctuation properties of the material particles. Futhermore, the quantum spin properties of the material particles are also produced, which reveals the statistical quality of 1/2 spin particles and the coexistence relationship of their spins. The particle spin properties ultimately reflect the spacetime properties of STP and particles, which leads to an important result that any spin 1/2 elementary particles will be massive. Fourth, we derive the physical origin of the special relativity, and prove that the hypothesis of constant speed of light is actually the intrinsic property of spacetime. This naturally leads to the three basic inferences of the special theory of relativity, namely, “mass enhancement”, “time dilation” and “length contraction” effects. Fifth, we can perfectly explain the nature of photons based on the topological and dynamic properties of STP, thus naturally obtain the complete electromagnetic theory and all important properties of charge. Sixth, we naturally derive the gravitation from the interaction of the fundamental particles of microscopic matter, namely the massive fermion and STP. Furthermore, we can judge from the overall perspective of modern physics that the inertia mass of fermions must be equal to the gravitational mass. We have obtained the equivalent principle combined with Newton’s universal gravitation, from which we can derive all the important contents of general relativity. Both inertial mass and gravitational mass are no longer the basic physical quantities. The two are indeed equivalent, which come from the statistical mass of STP collisions. This paper shows that STP can interact with matter particles in space time. The particles of matter are affected by the impact of STP and change their motional state. The mass of a particle is a statistical property exhibited by STP collision. Under the MIP framework of interaction between STP and matter particles, the relativistic quantum electromagnetic and spin properties of particles are all self-consistent. The relativistic behavior and quantum behavior of matter particles with statistical mass are all derived from the collision of STP on matter particles. We have systematically solved all the basic problems of modern physics with MIP, which is the common origin of special theory of relativity, general theory of relativity, electromagnetic theory and quantum mechanics.