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Bassam's Unified Quantum Theory

Bassam Muwafaq Salman, Bassam Muwafaq Salman

Published Oct 15, 2026• 0 citations
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Abstract

This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation:t_B = S_VN / πin natural units ℏ = k_B = c = 1, where time emerges from S_VN, which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity; π is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) isS_VN^(e) = ln 2,yields a theoretical characteristic time for the electron oft_B^(e) = 2.846 × 10^(−22) s,upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac–Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles—namely, excited electrons (the Bassam electron)—with a predicted mass ofm_B^(e) ≈ 15.1 MeV/c².The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channele_B⁻ → e⁻ + γ.The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.

DOI
10.6084/m9.figshare.34532949

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Bassam's Unified Quantum Theory

Bassam Muwafaq Salman

This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, t_B=S_VN/π , (in natural units) ℏ=k_B=c=1, where time emerges from S_VN , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here π is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is S_VN^(e) = ln 2, yields a theoretical characteristic time for the electron of t_B^e=2.846×10^(-22) s , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of m_B^(e)≈ 15.1 MeV/c^2. The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel e_B^-→ e^-+ γ. The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.

•Oct 21, 2026•0 citations

Bassam's Unified Quantum Theory

Bassam Muwafaq Salman

This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, , (in natural units) , where time emerges from , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is , yields a theoretical characteristic time for the electron of , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of . The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel . The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.

•Oct 13, 2026•0 citations

Bassam's Unified Quantum Theory

Bassam Muwafaq Salman

This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, , (in natural units) , where time emerges from , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is , yields a theoretical characteristic time for the electron of , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of . The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel . The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.

•Oct 15, 2026•0 citations

Bassam's Unified Quantum Theory

بسام موفق سلمان, Bassam Muwafaq Salman

Bassam's Unified Quantum Theory Bassam Muwafaq Salman TEACHER General Directorate of personnel (Civilian Personnel), Training and Education Development Section, Iraqi Ministry of Defense. E- mail: basam.muwafaq86@gmail.com. basam.classic86@gmail.com 0009-0009-0659-7227An earlier version of this work is available on Zenodo(DOI: 10.5281/zenodo.23328953) and on HAL (hal-05796325). The priority date for the fundamental equations of Bassam's Unified Quantum Theory, in the field of Theoretical High Energy Physics (hep-th), authored by Bassam Muwaffaq Salman Abdul Karim, is established as 13/10/2026. This specific preprint was published on Figshare on 15/10/2026(DOI: 10.6084/m9.figshare.34532949). Abstract This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, t_B=S_VN/π , (in natural units) ℏ=k_B=c=1, where time emerges from S_VN , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here π is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is S_VN^(e) = ln 2, yields a theoretical characteristic time for the electron of t_B^e=2.846×10^(-22) s , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of m_B^(e)≈ 15.1 MeV/c^2. The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel e_B^-→ e^-+ γ. The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.Central to this theory is a fundamental relation between the time scale t_B and the quantum information entropy (von Neumann entropy), S_VN, which is a dimensionless quantity inherent to the system. which is given by Bassam's fundamental time equation, t_B=(S_VN/π)∙t_0. (upon restoring SI units), where t_0 represents the natural time scale of the system. By applying this equation to an electron in its maximally mixed state S_VN^(e)=ln⁡2, we obtain the Bassam quantum time of the electron, given by, t_B^e=2.846×10^(-22) s. This theory provides another central relationship between the length scale L_B and the quantum information entropy S_VN it contains which is a dimensionless quantity. which is given by Bassam's funda-mental spatial equation, L_B=(S_VN/π )∙λ_0. (upon restoring SI units), where λ_0 represents the reduced Compton wavelength. We can obtain the Bassam quantum length of the electron, which represents the smallest possible distance that an electron can travel from one place to another, and which is given by the calculated value L_B^(e)≈8.52×10^(-14) m . Through this theory we obtain another central relationship between the mass spectral scale m_B,_n and the quantum information entropy S_VN it contains, which is a dimensionless quantity, as given by Bassam's fundamental mass spectral equation. m_B,_n=m(1+(2π^2/S_VN) n), New particles can be obtained, namely excited electrons (excited Bassam electrons), with a mass of m_B^(e)≈ 15.1 MeV/c^2 They are ob-tained through the (Dirac–Bassam) equation via the decay channel e_B^-→ e^-+ γ. The theory also explains the behavior of the photon, where S_VN=0 and its characteristic time must be t_B^(Ph)=0, which provides a quantum expla-nation for the relativistic freezing of time at the speed of light c This is attributed to the fact that the photon does not possess quantum informa-tion entropy therefore its speed is maximal. This theory also seeks to provide an interpretation by exploring the implications and predictions it generates for various physical scenarios. The existence of quantum time necessarily leads us to the existence of a corre-sponding quantum space, thereby paving the way toward the unification of space and time. Through this endeavor, we aim to contribute to the ongoing dialogue concerning the origin of time and the origin of space, and to address the question of where the three spatial dimensions and the fourth, temporal dimension come from. Since this theory derives all components of the universe from information, the universe becomes a network of indivisible quantum pixels. This testable theory, which naturally es-tablishes a connection between time and quantum information, extends to addressing other problems in physics, This opens up wide-ranging prospects for future applications in research and development, as well as in both theoretical and experimental investigations, particularly in experiments at facilities such as Belle II and LHCb, within the framework of high-energy particle physics. This theory presents for the first time and in accordance with the researcher's findings, these fundamental equations and results. Bassam's fundamental time equation, t_B, Bassam's fundamental spatial equation, L_B and Bassam's fundamental mass spectral equation, m_B,_n. The quantized Bassam coordinates are (t_B∙n_t ,L_B∙n_x ,L_B∙n_y ,L_B∙n_z),which represent new physical equations and quantities that have not been proposed or discovered in any previous physical model.2. 1 BASSAM'S FUNDAMENTAL QUANTUM EQUATION OF TIME The term ∂ψ/∂t in Equation (25) represents the derivative of the quantum wave function with respect to time and is equal to -iωψ , which gives ψ(t) [47]. Therefore, the term ω_(S_VN/π) in Equation (36) becomes in the following form├ ∂ψ/∂t ┤|_(t_B=S_VN/π) The relation t_B=τ can be obtained (in natural units). The following equation can now be written. τ =S_VN/π(46) After the researcher obtained Equation (46), substituting it into Equation (45) yields Bassam's fundamental time equation. which is denoted by the symbol t_B (where we add the letter B , which indicates the researcher’s designation). and it represents Bassam's quan-tum time, associated with, which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, In addition,is a mathematical constant, and t_0 represents the natural time scale of the system. Upon restoring SI units [48], Bassam Muwaffaq Salman Abdul Karim was able to derive Bassam's fundamental time equation, which is given by the following equation. t_B_assam = S_VN/π∙t_0(47) whererepresents the quantum information entropy (von Neumann entropy) for any quantum system, as given by the following equation.(48) In Equation (48), where[J/K] represents the quantum information entropy (von Neumann entropy).is the Boltzmann constant. In our derivations,, a mathematical constant, appears and is eliminated from Equation (20). Upon transitioning to natural units,. Conse-quently, the entropy becomes dimensionless. When SI units are employed, preserving dimensional consistency requires the inclusion ofin Equation (47). Thus,is algebraically canceled from the numerator and the denominator, which ensures the consistency of Equation (47). whererepresents the quantum information entropy (von Neumann entropy), and it is a dimensionless quantity.represents the density matrix, which describes the quantum state of the system.represents the trace, which is the sum of the diagonal elements of the matrix.denotes the logarithm of the density matrix. Equation (47) can be written (upon restoring SI units). Withpresent in the numerator and denominator, Bassam's fundamental time equation can be written as given by the following equation. t_B= S_VN^(SI)/k_B π∙t_0 (49) whererepresents the quantum information entropy (von Neumann entropy) with dimen-sions [J/K] (upon restoring SI units). Equation (47) can be written, when using natural units with, to yield the following equation. (50) We can write the fundamental relation connect-ing length, time, and velocity, as given by the following equation. (51) whererepresents the distance,repre-sents the velocity, andrepresents the time. When the velocity is the same as the speed of light c, we can consider, and we obtain the following equation (52) Substituting Equation (52) into Equation (47) yields Bassam's fundamental spatial equation. which is denoted by the symbol L_B , representing the Bassam quantum length. The researcher was able to obtain Bassam's fundamental spatial equation, which is given by the following equation. L_B_assam = S_VN/π∙λ_0 (53) whererepresents the quantum information entropy (von Neumann entropy), and it is a dimensionless quantity. where λ_0 [m] represents the reduced Compton wavelength. and it is given by the formula. Equation (53) can be written, when using the International System of Units, as the following equation. L_B= S_VN^(SI)/k_B π∙λ_0 (54) where S_VN^(SI) represents the quantum information entropy (von Neumann entropy) with dimensions [J/K] (when using the International System of Units). A complete correspondence can be written between Equation (47), which is Bassam's quantum time equation, and Equation (53), which is Bassam's quantum length equation (in natural units,), Since time and space are the same entity, two sides of the same coin, the following equation can be written. t_B=L_B = S_VN/π∙1/m (55) Contrary to what has been established in classical and relativistic physics. where the space and time coordinates

•Oct 22, 2026•0 citations

Quantum Mechanics Based on the Density of Quantum Space (Part V)

Mario Kozar

DESCRIPTION This work presents a complete, deterministic framework for quantum mechanics derived entirely from a single, testable postulate: the density of quantum space. The Core Problem For over a century, quantum mechanics has been interpreted as a theory of fundamental randomness, wave-particle duality, instantaneous jumps, and irreducible uncertainty. The standard Copenhagen interpretation treats the wave function as a probability amplitude, measurement as a "collapse" of that probability, and the Heisenberg uncertainty principle as a fundamental limit of nature. This work demonstrates that all these "mysteries" are not properties of nature—they are artifacts of our limited perception. We observe quantum phenomena through slow, macroscopic instruments that cannot resolve the actual continuous dynamics occurring in a space that is 6.54 trillion times denser than what we perceive as "empty space." The Fundamental Postulate The foundation of this work is a single, geometrically derived constant: ρ = (number of Planck lengths in 1 mm) / (number of millimeters in 1 light-year) = 6.54 × 10¹² Physical Meaning: One millimeter of physical space contains 6.54 trillion times more quantum spatial units than one light-year contains millimeters. What we perceive as "empty space" is actually a dense, discrete, information-rich medium. The entire observable universe (93 billion light-years in diameter) maps to only 0.014 light-years in quantum space—well within our Solar System. Consequence: The density inversion explains why quantum phenomena appear strange: we are observing a dense, fast, discrete reality through slow, coarse, macroscopic instruments. The apparent "weirdness" is not in nature—it is in our perception. The Comprehensive Law From the density postulate and classical physics (Newton, Coulomb, Maxwell, Einstein), a single comprehensive law is derived that contains all known physics as limit cases: E(t,v,n) = (m₀c²/ρ) · ‖n‖ · √(1 + (γv/c)²) · sin(2πt/T) This formula contains: Einstein's E = mc² as the limit ρ → 1, ‖n‖ → 1, sin → 1, v ≪ c Newtonian mechanics as the limit v ≪ c Special relativity as the limit ρ → 1, ‖n‖ → 1, sin → 1 Quantum mechanics as the discrete geometry n ∈ ℤ³ and resonance sin(2πt/T) Each term has a precise physical meaning: the rest mass energy (m₀c²) is scaled by the quantum space density (1/ρ), modified by the position relative to the absolute zero point Z₀ (‖n‖), adjusted for relativistic motion (√(1 + (γv/c)²)), and modulated by temporal resonance (sin(2πt/T)). Resolution of All Quantum Paradoxes Wave-Particle Duality = Optical Illusion The electron is always a localized particle with a definite trajectory. The "wave" is the charge density distribution—a standing wave in the dense quantum medium. From the standing wave condition 2πr = nλ, the Poynting vector in the far field is exactly zero (S = 0), meaning the electron does not radiate. The apparent "wave behavior" is an optical illusion caused by the density ρ smearing the point-like trajectory in our low-resolution projection. Wave Function = Energy Density, Not Probability The squared modulus of the wave function |Ψ|² is the energy density fraction, not a probability density. The particle itself follows a deterministic trajectory y(t) = v₀t - ½g₀t². Probability appears only because we cannot resolve the trajectory (due to t_total = 118 as ≪ Δt_instr) and we do not know the initial phase φ of the oscillation. Schrödinger Equation = Effective Approximation The Schrödinger equation is an effective, averaged description of how the energy density evolves. The fundamental law is classical motion in the dense quantum medium. The Schrödinger equation emerges when we average over the fast oscillation sin(2πt/T), ignore the density force F_ρ, and treat trajectories statistically. Quantization = Resonance, Not Arbitrary Jumps Energy levels are the resonant harmonics of the quantum space medium. The standing wave condition 2πr = nλ gives E_n = -13.6 eV/n²—exactly the same physics as a vibrating string. Only frequencies that satisfy the standing wave condition are stable. The transition between levels is not an instantaneous "jump" but a continuous trajectory y(t) = v₀t - ½g₀t² with total duration t_total = 118 as. The apparent "instantaneous jump" is an artifact of our slow instruments. Heisenberg Uncertainty = Collision, Not Fundamental Limit The uncertainty product depends on the measurement geometry: Δx·Δp = h·tan(θ/2), where θ is the scattering angle of the measurement photon. As θ → 0 (forward scattering with perfect detection), the product approaches zero. There is no fundamental lower bound. The uncertainty is a practical limitation of invasive measurement—we disturb the particle's trajectory when we hit it with a photon. Quantum Randomness = Ignorance Residual "quantum randomness" is simply unmodeled environmental force noise. The apparent randomness arises from three sources: temporal resolution (t_total = 118 as ≪ Δt_instr—we cannot resolve the trajectory), initial phase ignorance (we do not know the phase φ of sin(2πt/T)), and measurement perturbation (we do not know the exact collision parameters). If we could measure the outgoing photon completely and know the initial phase, the outcome would be fully deterministic. Randomness is in our ignorance, not in nature. Five Testable Predictions The theory makes five clear, quantitative predictions that distinguish it from standard quantum mechanics: Prediction 1 - Electron Transit Time: The electron transit time during the n=1 → n=2 transition in hydrogen is 118 ± 5 attoseconds. Standard quantum mechanics predicts zero duration (instantaneous jump). Testable with attosecond pump-probe spectroscopy. Prediction 2 - Heisenberg Product Can Approach Zero: With better detectors, the uncertainty product Δx·Δp can approach zero, not ħ/2. Standard quantum mechanics predicts Δx·Δp ≥ ħ/2 always. Testable with weak measurement experiments. Prediction 3 - Energy Oscillation at 116 kHz: The energy of gold-197 oscillates at 116 kHz with amplitude 1.252 × 10⁻²⁶ J. Standard quantum mechanics predicts constant energy for a given state. Testable with precision spectroscopy. Prediction 4 - Bell Inequality Violations Decrease with Measurement Strength: As measurement impulse strength decreases, Bell inequality violations decrease. Standard quantum mechanics predicts violations are independent of measurement strength. Testable with weak measurement entanglement experiments. Prediction 5 - Quantum Randomness is Environmental Noise: Residual "quantum randomness" equals unmodeled environmental force noise. Full force accounting restores classical determinism. Standard quantum mechanics predicts randomness is fundamental and irreducible. Testable with complete force reconstruction in closed quantum systems. The Absolute Zero Point Z₀ This work introduces Z₀ = (0,0,0) as a universal, absolute reference point in quantum space. Every point in space has a discrete address: n = (n_r, n_θ, n_φ), ‖n‖ = √(n_r² + n_θ² + n_φ²) Z₀ is physically grounded in the cosmic microwave background (CMB) rest frame, vacuum energy (the lowest possible energy state), and the geometric center of the quantum space lattice. This eliminates the relativity of reference frames—providing an absolute coordinate system that standard physics lacks. Mathematical Consistency The work provides rigorous derivations of: The density ρ from first principles (Planck length, electron mass, fine structure constant) The quantum coordinate norm ‖n‖ from the discrete metric of quantum space The oscillation period T from the de Broglie relation The coupling constant ε from fundamental constants The regularized metric eliminating all singularities The thermodynamic properties of quantum space (entropy, temperature, heat capacity) The covariant Einstein equation in quantum space The connection to quantum anomalies and topological invariants The Lamb shift from quantum space density oscillation Dark energy from quantum space density variation Comparison with Other Approaches String theory requires approximately 10⁵⁰⁰ free parameters and offers no testable predictions with current technology, while introducing new physics such as strings, extra dimensions, and supersymmetry. Loop quantum gravity requires approximately 10 parameters and also offers no testable predictions, introducing spin networks and loop quantization. Both approaches have difficulty connecting to the Standard Model. In contrast, this theory has only one parameter (ρ, which is derived from fundamental constants rather than being free), offers five testable predictions with current or near-future technology, requires no new physics beyond standard physics applied in a dense medium, and connects directly to the Standard Model through the energy-momentum tensor. The Core Message Quantum mechanics is not magic. It is not a new kind of physics. It is the same old physics—Newton, Maxwell, Coulomb—operating in a space that is 6.54 trillion times denser than we perceive. Three things to remember: Space is dense, not empty. What we call "empty space" is actually a dense, discrete medium. We are the ones who are sparse—not the universe. The particle has a trajectory. Every particle follows a precise, continuous path. We don't see it because our instruments are too slow. The path exists—we just can't resolve it. Energy breathes. Energy is not a static number. It oscillates in time, like a heartbeat. The universe is alive with resonance. Conclusion This work demonstrates that quantum mechanics is not a theory of fundamental randomness and irreducible uncertainty. It is the low-resolution, static-space approximation of a deeper, deterministic, dynamic reality. The deeper reality is quantum space—dense, discrete, resonant, and absolute. The final statement of this

•Jul 1, 2026•0 citations

Unified Superfunction Theory: The Structural Regulatory Mechanism of Quantum Adjustment inside Continuous Spacetime A Global Hybrid Function with Three Operational Modes

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This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation:t_B = S_VN / πin natural units ℏ = k_B = c = 1, where time emerges from S_VN, which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity; π is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) isS_VN^(e) = ln 2,yields a theoretical characteristic time for the electron oft_B^(e) = 2.846 × 10^(−22) s,upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac–Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles—namely, excited electrons (the Bassam electron)—with a predicted mass ofm_B^(e) ≈ 15.1 MeV/c².The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channele_B⁻ → e⁻ + γ.The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.
This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, t_B=S_VN/π , (in natural units) ℏ=k_B=c=1, where time emerges from S_VN , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here π is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is S_VN^(e) = ln 2, yields a theoretical characteristic time for the electron of t_B^e=2.846×10^(-22) s , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of m_B^(e)≈ 15.1 MeV/c^2. The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel e_B^-→ e^-+ γ. The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.
This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, , (in natural units) , where time emerges from , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is , yields a theoretical characteristic time for the electron of , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of . The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel . The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.
This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, , (in natural units) , where time emerges from , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is , yields a theoretical characteristic time for the electron of , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of . The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel . The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.
Bassam's Unified Quantum Theory Bassam Muwafaq Salman TEACHER General Directorate of personnel (Civilian Personnel), Training and Education Development Section, Iraqi Ministry of Defense. E- mail: basam.muwafaq86@gmail.com. basam.classic86@gmail.com 0009-0009-0659-7227An earlier version of this work is available on Zenodo(DOI: 10.5281/zenodo.23328953) and on HAL (hal-05796325). The priority date for the fundamental equations of Bassam's Unified Quantum Theory, in the field of Theoretical High Energy Physics (hep-th), authored by Bassam Muwaffaq Salman Abdul Karim, is established as 13/10/2026. This specific preprint was published on Figshare on 15/10/2026(DOI: 10.6084/m9.figshare.34532949). Abstract This work presents the first publication of a novel theory, termed Bassam's Unified Quantum Theory. The theory postulates that the characteristic time of any physical system can be derived directly from Bassam's fundamental time equation, t_B=S_VN/π , (in natural units) ℏ=k_B=c=1, where time emerges from S_VN , which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, here π is a mathematical constant. Applying the equation to the electron in the maximally mixed state, where the von Neumann entropy (unpolarized spin) is S_VN^(e) = ln 2, yields a theoretical characteristic time for the electron of t_B^e=2.846×10^(-22) s , upon restoring SI units. This time is interpreted as a fundamental timescale of the system, representing the quantum time of the electron. The theory further yields experimentally testable predictions through the solution of the Dirac-Bassam equation, a theoretical extension of the classical Dirac equation. Foremost among the theory's predictions is the existence of new excited particles-namely, excited electrons (the Bassam electron) with a predicted mass of m_B^(e)≈ 15.1 MeV/c^2. The particle is experimentally detectable in particle colliders, particularly in high-energy physics experiments such as Belle II or LHCb, where it can be produced via the decay channel e_B^-→ e^-+ γ. The theory provides a unified framework that connects quantum mechanics, relativity, and quantum information theory.Central to this theory is a fundamental relation between the time scale t_B and the quantum information entropy (von Neumann entropy), S_VN, which is a dimensionless quantity inherent to the system. which is given by Bassam's fundamental time equation, t_B=(S_VN/π)∙t_0. (upon restoring SI units), where t_0 represents the natural time scale of the system. By applying this equation to an electron in its maximally mixed state S_VN^(e)=ln⁡2, we obtain the Bassam quantum time of the electron, given by, t_B^e=2.846×10^(-22) s. This theory provides another central relationship between the length scale L_B and the quantum information entropy S_VN it contains which is a dimensionless quantity. which is given by Bassam's funda-mental spatial equation, L_B=(S_VN/π )∙λ_0. (upon restoring SI units), where λ_0 represents the reduced Compton wavelength. We can obtain the Bassam quantum length of the electron, which represents the smallest possible distance that an electron can travel from one place to another, and which is given by the calculated value L_B^(e)≈8.52×10^(-14) m . Through this theory we obtain another central relationship between the mass spectral scale m_B,_n and the quantum information entropy S_VN it contains, which is a dimensionless quantity, as given by Bassam's fundamental mass spectral equation. m_B,_n=m(1+(2π^2/S_VN) n), New particles can be obtained, namely excited electrons (excited Bassam electrons), with a mass of m_B^(e)≈ 15.1 MeV/c^2 They are ob-tained through the (Dirac–Bassam) equation via the decay channel e_B^-→ e^-+ γ. The theory also explains the behavior of the photon, where S_VN=0 and its characteristic time must be t_B^(Ph)=0, which provides a quantum expla-nation for the relativistic freezing of time at the speed of light c This is attributed to the fact that the photon does not possess quantum informa-tion entropy therefore its speed is maximal. This theory also seeks to provide an interpretation by exploring the implications and predictions it generates for various physical scenarios. The existence of quantum time necessarily leads us to the existence of a corre-sponding quantum space, thereby paving the way toward the unification of space and time. Through this endeavor, we aim to contribute to the ongoing dialogue concerning the origin of time and the origin of space, and to address the question of where the three spatial dimensions and the fourth, temporal dimension come from. Since this theory derives all components of the universe from information, the universe becomes a network of indivisible quantum pixels. This testable theory, which naturally es-tablishes a connection between time and quantum information, extends to addressing other problems in physics, This opens up wide-ranging prospects for future applications in research and development, as well as in both theoretical and experimental investigations, particularly in experiments at facilities such as Belle II and LHCb, within the framework of high-energy particle physics. This theory presents for the first time and in accordance with the researcher's findings, these fundamental equations and results. Bassam's fundamental time equation, t_B, Bassam's fundamental spatial equation, L_B and Bassam's fundamental mass spectral equation, m_B,_n. The quantized Bassam coordinates are (t_B∙n_t ,L_B∙n_x ,L_B∙n_y ,L_B∙n_z),which represent new physical equations and quantities that have not been proposed or discovered in any previous physical model.2. 1 BASSAM'S FUNDAMENTAL QUANTUM EQUATION OF TIME The term ∂ψ/∂t in Equation (25) represents the derivative of the quantum wave function with respect to time and is equal to -iωψ , which gives ψ(t) [47]. Therefore, the term ω_(S_VN/π) in Equation (36) becomes in the following form├ ∂ψ/∂t ┤|_(t_B=S_VN/π) The relation t_B=τ can be obtained (in natural units). The following equation can now be written. τ =S_VN/π(46) After the researcher obtained Equation (46), substituting it into Equation (45) yields Bassam's fundamental time equation. which is denoted by the symbol t_B (where we add the letter B , which indicates the researcher’s designation). and it represents Bassam's quan-tum time, associated with, which represents the quantum information entropy (von Neumann entropy) and is a dimensionless quantity, In addition,is a mathematical constant, and t_0 represents the natural time scale of the system. Upon restoring SI units [48], Bassam Muwaffaq Salman Abdul Karim was able to derive Bassam's fundamental time equation, which is given by the following equation. t_B_assam = S_VN/π∙t_0(47) whererepresents the quantum information entropy (von Neumann entropy) for any quantum system, as given by the following equation.(48) In Equation (48), where[J/K] represents the quantum information entropy (von Neumann entropy).is the Boltzmann constant. In our derivations,, a mathematical constant, appears and is eliminated from Equation (20). Upon transitioning to natural units,. Conse-quently, the entropy becomes dimensionless. When SI units are employed, preserving dimensional consistency requires the inclusion ofin Equation (47). Thus,is algebraically canceled from the numerator and the denominator, which ensures the consistency of Equation (47). whererepresents the quantum information entropy (von Neumann entropy), and it is a dimensionless quantity.represents the density matrix, which describes the quantum state of the system.represents the trace, which is the sum of the diagonal elements of the matrix.denotes the logarithm of the density matrix. Equation (47) can be written (upon restoring SI units). Withpresent in the numerator and denominator, Bassam's fundamental time equation can be written as given by the following equation. t_B= S_VN^(SI)/k_B π∙t_0 (49) whererepresents the quantum information entropy (von Neumann entropy) with dimen-sions [J/K] (upon restoring SI units). Equation (47) can be written, when using natural units with, to yield the following equation. (50) We can write the fundamental relation connect-ing length, time, and velocity, as given by the following equation. (51) whererepresents the distance,repre-sents the velocity, andrepresents the time. When the velocity is the same as the speed of light c, we can consider, and we obtain the following equation (52) Substituting Equation (52) into Equation (47) yields Bassam's fundamental spatial equation. which is denoted by the symbol L_B , representing the Bassam quantum length. The researcher was able to obtain Bassam's fundamental spatial equation, which is given by the following equation. L_B_assam = S_VN/π∙λ_0 (53) whererepresents the quantum information entropy (von Neumann entropy), and it is a dimensionless quantity. where λ_0 [m] represents the reduced Compton wavelength. and it is given by the formula. Equation (53) can be written, when using the International System of Units, as the following equation. L_B= S_VN^(SI)/k_B π∙λ_0 (54) where S_VN^(SI) represents the quantum information entropy (von Neumann entropy) with dimensions [J/K] (when using the International System of Units). A complete correspondence can be written between Equation (47), which is Bassam's quantum time equation, and Equation (53), which is Bassam's quantum length equation (in natural units,), Since time and space are the same entity, two sides of the same coin, the following equation can be written. t_B=L_B = S_VN/π∙1/m (55) Contrary to what has been established in classical and relativistic physics. where the space and time coordinates
DESCRIPTION This work presents a complete, deterministic framework for quantum mechanics derived entirely from a single, testable postulate: the density of quantum space. The Core Problem For over a century, quantum mechanics has been interpreted as a theory of fundamental randomness, wave-particle duality, instantaneous jumps, and irreducible uncertainty. The standard Copenhagen interpretation treats the wave function as a probability amplitude, measurement as a "collapse" of that probability, and the Heisenberg uncertainty principle as a fundamental limit of nature. This work demonstrates that all these "mysteries" are not properties of nature—they are artifacts of our limited perception. We observe quantum phenomena through slow, macroscopic instruments that cannot resolve the actual continuous dynamics occurring in a space that is 6.54 trillion times denser than what we perceive as "empty space." The Fundamental Postulate The foundation of this work is a single, geometrically derived constant: ρ = (number of Planck lengths in 1 mm) / (number of millimeters in 1 light-year) = 6.54 × 10¹² Physical Meaning: One millimeter of physical space contains 6.54 trillion times more quantum spatial units than one light-year contains millimeters. What we perceive as "empty space" is actually a dense, discrete, information-rich medium. The entire observable universe (93 billion light-years in diameter) maps to only 0.014 light-years in quantum space—well within our Solar System. Consequence: The density inversion explains why quantum phenomena appear strange: we are observing a dense, fast, discrete reality through slow, coarse, macroscopic instruments. The apparent "weirdness" is not in nature—it is in our perception. The Comprehensive Law From the density postulate and classical physics (Newton, Coulomb, Maxwell, Einstein), a single comprehensive law is derived that contains all known physics as limit cases: E(t,v,n) = (m₀c²/ρ) · ‖n‖ · √(1 + (γv/c)²) · sin(2πt/T) This formula contains: Einstein's E = mc² as the limit ρ → 1, ‖n‖ → 1, sin → 1, v ≪ c Newtonian mechanics as the limit v ≪ c Special relativity as the limit ρ → 1, ‖n‖ → 1, sin → 1 Quantum mechanics as the discrete geometry n ∈ ℤ³ and resonance sin(2πt/T) Each term has a precise physical meaning: the rest mass energy (m₀c²) is scaled by the quantum space density (1/ρ), modified by the position relative to the absolute zero point Z₀ (‖n‖), adjusted for relativistic motion (√(1 + (γv/c)²)), and modulated by temporal resonance (sin(2πt/T)). Resolution of All Quantum Paradoxes Wave-Particle Duality = Optical Illusion The electron is always a localized particle with a definite trajectory. The "wave" is the charge density distribution—a standing wave in the dense quantum medium. From the standing wave condition 2πr = nλ, the Poynting vector in the far field is exactly zero (S = 0), meaning the electron does not radiate. The apparent "wave behavior" is an optical illusion caused by the density ρ smearing the point-like trajectory in our low-resolution projection. Wave Function = Energy Density, Not Probability The squared modulus of the wave function |Ψ|² is the energy density fraction, not a probability density. The particle itself follows a deterministic trajectory y(t) = v₀t - ½g₀t². Probability appears only because we cannot resolve the trajectory (due to t_total = 118 as ≪ Δt_instr) and we do not know the initial phase φ of the oscillation. Schrödinger Equation = Effective Approximation The Schrödinger equation is an effective, averaged description of how the energy density evolves. The fundamental law is classical motion in the dense quantum medium. The Schrödinger equation emerges when we average over the fast oscillation sin(2πt/T), ignore the density force F_ρ, and treat trajectories statistically. Quantization = Resonance, Not Arbitrary Jumps Energy levels are the resonant harmonics of the quantum space medium. The standing wave condition 2πr = nλ gives E_n = -13.6 eV/n²—exactly the same physics as a vibrating string. Only frequencies that satisfy the standing wave condition are stable. The transition between levels is not an instantaneous "jump" but a continuous trajectory y(t) = v₀t - ½g₀t² with total duration t_total = 118 as. The apparent "instantaneous jump" is an artifact of our slow instruments. Heisenberg Uncertainty = Collision, Not Fundamental Limit The uncertainty product depends on the measurement geometry: Δx·Δp = h·tan(θ/2), where θ is the scattering angle of the measurement photon. As θ → 0 (forward scattering with perfect detection), the product approaches zero. There is no fundamental lower bound. The uncertainty is a practical limitation of invasive measurement—we disturb the particle's trajectory when we hit it with a photon. Quantum Randomness = Ignorance Residual "quantum randomness" is simply unmodeled environmental force noise. The apparent randomness arises from three sources: temporal resolution (t_total = 118 as ≪ Δt_instr—we cannot resolve the trajectory), initial phase ignorance (we do not know the phase φ of sin(2πt/T)), and measurement perturbation (we do not know the exact collision parameters). If we could measure the outgoing photon completely and know the initial phase, the outcome would be fully deterministic. Randomness is in our ignorance, not in nature. Five Testable Predictions The theory makes five clear, quantitative predictions that distinguish it from standard quantum mechanics: Prediction 1 - Electron Transit Time: The electron transit time during the n=1 → n=2 transition in hydrogen is 118 ± 5 attoseconds. Standard quantum mechanics predicts zero duration (instantaneous jump). Testable with attosecond pump-probe spectroscopy. Prediction 2 - Heisenberg Product Can Approach Zero: With better detectors, the uncertainty product Δx·Δp can approach zero, not ħ/2. Standard quantum mechanics predicts Δx·Δp ≥ ħ/2 always. Testable with weak measurement experiments. Prediction 3 - Energy Oscillation at 116 kHz: The energy of gold-197 oscillates at 116 kHz with amplitude 1.252 × 10⁻²⁶ J. Standard quantum mechanics predicts constant energy for a given state. Testable with precision spectroscopy. Prediction 4 - Bell Inequality Violations Decrease with Measurement Strength: As measurement impulse strength decreases, Bell inequality violations decrease. Standard quantum mechanics predicts violations are independent of measurement strength. Testable with weak measurement entanglement experiments. Prediction 5 - Quantum Randomness is Environmental Noise: Residual "quantum randomness" equals unmodeled environmental force noise. Full force accounting restores classical determinism. Standard quantum mechanics predicts randomness is fundamental and irreducible. Testable with complete force reconstruction in closed quantum systems. The Absolute Zero Point Z₀ This work introduces Z₀ = (0,0,0) as a universal, absolute reference point in quantum space. Every point in space has a discrete address: n = (n_r, n_θ, n_φ), ‖n‖ = √(n_r² + n_θ² + n_φ²) Z₀ is physically grounded in the cosmic microwave background (CMB) rest frame, vacuum energy (the lowest possible energy state), and the geometric center of the quantum space lattice. This eliminates the relativity of reference frames—providing an absolute coordinate system that standard physics lacks. Mathematical Consistency The work provides rigorous derivations of: The density ρ from first principles (Planck length, electron mass, fine structure constant) The quantum coordinate norm ‖n‖ from the discrete metric of quantum space The oscillation period T from the de Broglie relation The coupling constant ε from fundamental constants The regularized metric eliminating all singularities The thermodynamic properties of quantum space (entropy, temperature, heat capacity) The covariant Einstein equation in quantum space The connection to quantum anomalies and topological invariants The Lamb shift from quantum space density oscillation Dark energy from quantum space density variation Comparison with Other Approaches String theory requires approximately 10⁵⁰⁰ free parameters and offers no testable predictions with current technology, while introducing new physics such as strings, extra dimensions, and supersymmetry. Loop quantum gravity requires approximately 10 parameters and also offers no testable predictions, introducing spin networks and loop quantization. Both approaches have difficulty connecting to the Standard Model. In contrast, this theory has only one parameter (ρ, which is derived from fundamental constants rather than being free), offers five testable predictions with current or near-future technology, requires no new physics beyond standard physics applied in a dense medium, and connects directly to the Standard Model through the energy-momentum tensor. The Core Message Quantum mechanics is not magic. It is not a new kind of physics. It is the same old physics—Newton, Maxwell, Coulomb—operating in a space that is 6.54 trillion times denser than we perceive. Three things to remember: Space is dense, not empty. What we call "empty space" is actually a dense, discrete medium. We are the ones who are sparse—not the universe. The particle has a trajectory. Every particle follows a precise, continuous path. We don't see it because our instruments are too slow. The path exists—we just can't resolve it. Energy breathes. Energy is not a static number. It oscillates in time, like a heartbeat. The universe is alive with resonance. Conclusion This work demonstrates that quantum mechanics is not a theory of fundamental randomness and irreducible uncertainty. It is the low-resolution, static-space approximation of a deeper, deterministic, dynamic reality. The deeper reality is quantum space—dense, discrete, resonant, and absolute. The final statement of this
This paper presents a complete and verifiable theoretical framework that unifies quantum mechanics and classical physics/general relativity under a single mathematical function: H(S,θ,K)=Fclassical(S)⋅Q(θ)+∇K⋅(ΠK[δS])H(S,θ,K)=Fclassical(S)⋅Q(θ)+∇K⋅(ΠK[δS]) We propose that quantum mechanics is not a fundamental separate theory, but rather a structural regulatory mechanism activated by specific boundary conditions within a fundamental continuous space-time. The theory introduces three core components: S: A unified continuous structural field representing both space-time and matter Q(θ): A context-dependent switching function that transitions between classical (Q=1) and quantum (Q=0) regimes K: An inherent geometric framework that governs all structural deformations The theory operates through three mathematically rigorous conditions: Pure Quantum Space (Q=0): Geometric deformations dominate via K Classical Physics + GR (Q=1): Reduces exactly to Einstein/Newton equations Local Quantum Effects (0<Q<1): Hybrid regime preserving fundamental constants Key innovations include: Resolution of the measurement problem through natural θ-transitions Preservation of all classical laws (c, G, ħ) as global constants Elimination of the quantum-gravity coupling problem Falsifiable predictions through approximate self-similarity analysis We propose three mathematical candidates for K (E₈ symmetry, Hodge-Laplacian, Spin Network) with specific experimental predictions in atomic spectra, optomechanics, and black hole entropy. The theory provides a concrete research program for 2026-2030, transitioning physics from fragmented descriptions to a unified dynamical system. This work represents not just an equation, but an ecosystem for unified physics—a testable speculative paradigm that enriches theoretical discourse regardless of its ultimate verification status.