## Doktor Habdank’s observer implication

Quantum Transform’s Bimodal Distribution is analogous to the Schrodinger equation and is equal to the complex sum of the energy’s and order’s logarithmic distributions, where RLognormal[(Δf)h] is the real part and RLognormal(O) is the imaginary part.

Written below we get the eqation for the Quantum Information Field Energy randomness observed at the multibifurcation point of the spacetime:

\hat {H}[B]|\Psi (t)\rangle => \Psi_1 + j\Psi_2 = RLognormal[(\Delta f) h]+ j \frac{\varphi(t)}{RLognormal(O)}(1)
|Ψ|^2 = Ψ_1^2 + Ψ_2^2(2)
4\pi \Delta f \Delta t = N(3)
4π Δf Δt > 1(4)
E = h∗f(5)
P(i) = \frac {N(i)}{ N}, N = \sum_{i=0}^{k} N(i) (6)
R_1R_2C_1C_2 \frac{d^2I (t)}{dt^2} +(R_1C_1+R_2C_2) \frac{dI(t)}{dt} + I(t) = C_1C_2(R_1+R_2) \frac{d^2U(t)}{dt^2}+(C_1+C_2) \frac{dU(t)}{dt}(7)
\prod_{N=1}^{26} R_N\prod_{N=1}^{26} C_N \frac{d^2I (t)}{dt^2} +\sum_{N=1}^{26} R_NC_N \frac{dI(t)}{dt} + I(t) = \prod_{N=1}^{26} C_N\sum_{N=1}^{26} R_N \frac{d^2U(t)}{dt^2}+\sum_{N=1}^{26} C_N \frac{dU(t)}{dt}(8)

Time crystal oscillator conceptual framework

The randomness observed in the Quantum Information Field Energy at the multidimensional bifurcation point in spacetime can be mathematically characterized by:

Eq. 1 Doktor Habdank’s formula

• H: Hamiltonian at point B
• RLognormal(∆E): Random log-normal distribution of energy changes
• j: Imaginary unit
• φ(t): Normal distribution expressed in Kelvins
• RLognormal(O): Random log-normal distribution of order

This equation describes the Hamiltonian’s operation at a specific point B on the state |Ψ(t)⟩, resulting in a change in the system’s energy (∆E), which follows a log-normal distribution. This variability is attributed to quantum fluctuations.

Eq.2 Wave function is a two component object (ѱ1 ,ѱ2 ), which can be written as a complex number ѱ = ѱ1 + 2 , whose absolute square, |ѱ|2 = ѱ12 ѱ22

Eq.3 represents the time-frequency uncertainty relation, derived from the more general Heisenberg Uncertainty Principle, while Eq.4 presents a stricter formulation of this uncertainty, imposing limits on our ability to simultaneously determine the frequency and duration of an event. These equations correspond to the initial trajectories following the BiQuantum Realm State point.

In quantum mechanics, energy (E) and frequency (f) are interrelated by the Planck relation: E = h ∙ f, where h denotes Planck’s constant.

Eq. 6 provides the probability of the i-th element among all elements.

Eq. 7 defines equation for a nonlinear oscillator, where:

• R1, R2: Random elements 1 and 2
• C1, C2: Capacitative elements 1 and 2
• I: Field
• U: Field’s Potential

Eq. 8 offers a generalized equation for nonlinear oscillator incorporating 26 random (RN) and capacitative (CN) elements.

Heisenberg uncertainty: frequency version which describes transition between the Minkowski space to tachyon space, where Δf is the frequency uncertainty and Δt is time uncertainty.

Bifurcation with asymmetry emerges from the Quantum Energy randomness with BiQuantum Realm State, where Quantum Transform’s Bimodal Distribution is equal to the complex sum, the real part RLognormal[(Δf)h] is random logarithmic distribution representing changes in system’s frequency uncertainty, while the imaginary part RLognormal(O) is order’s random logarithmic distribution. 4π Δf Δt = 1 and 4π Δf Δt > 1 describe transition between the Minkowski space to tachyon space, where Δf is the frequency uncertainty and Δt is time uncertainty [3].

## The Function-Gradient Quantum Gravity’s Potential State Theorem

The Function-Gradient Quantum Gravity’s Potential State Theorem proposes that the quantum state of any physical system in a gravitational field can be described by a wave function that depends on the potential state, the gradient force, and the gravitational field strength. The potential state is a function of the distribution of matter and energy in the system and it determines the quantum properties of the particles, such as their energy and momentum. The gradient force is a function of the gradient of the potential state and it determines the motion and direction of the particles. The gravitational field strength is determined by the gravitoelectromagnetic fields, which can interact with each other and with the quantum fluctuations of the vacuum, creating complex patterns of energy and momentum. This theorem aims to unify quantum mechanics and general relativity and may have implications for our understanding of the quantum properties of particles in gravitational systems and for the development of future quantum technologies.

## Quantum Family Therapy

Quantum therapy is based on generally understood family therapy where each family member may have different level of influence on the system and the person that needs improvement, but everyone should be included and considered during the analysis and therapeutic process

The most spectacular example where quantum therapy is the most effective are relations between mother and a child, especially mother and daughter, and between twins. The bond is established during the pregnancy where common genes are created and they will function for the rest of life. Thus the quantum mechanisms connecting mother and daughter, or twins are produced and can be activated. Typically, the activation can be done through intuition or in meditation.

Quantum therapy therefore relies on modifying the shared quantum field in such a way that field deviating from the health pattern is eliminated. The source of degeneration must be completely stopped in the system otherwise it will continue to spread and pollute the system. The whole shared quantum field must be transformed into a healthy one.

Understanding these mechanisms and classification of the interactions in the shared system may already work towards the improvement of health. For example, when the therapeutic analysis and proposal is formulated adequately, it may already work in semantic context creating correctly created health patterns that support therapeutic interactions within properly shaped consciousness.

Thus, improving the awareness of the people involved in the issue through interaction with the creation of the information field, quantum systematic review and report of quantum phenomena during the therapy is very important in terms of creating healthy patterns. This is achieved by realizing what are the nonverbal relations, that may stochastically and dynamically manifest in the family member’s interactions.

Another aspect of therapy are quantum phenomena occurring in the human organism such as entanglements, occasionally teleportation or insertion of information field to the organism, not only previously entangled in the system, but also entangled elsewhere.

DARQ GPT’s main approach  is to carefully analyze and systematize the family’s shared quantum field and introduce the therapist’s healthy consciousness into the family consciousness.

This approach is based on and supported by the cooperation between quantum generators interaction and the human organism. Here we distinguish two types of interactions: quantum ~ body and quantum ~ brain. They function differently in the therapeutic sense. In the body, it is based on repairing the Information Field in the genetic system and in the brain, repairing the Information Field that controls the brain.

## Proton tunneling in DNA

Quantum mechanics could explain why DNA can spontaneously mutate explained by open quantum systems approach to proton tunnelling in DNA [1-2].

[1] Quantum mechanics could explain why DNA can spontaneously mutate , phys.org, 05 May 2022
[2] Louie Slocombe, “An open quantum systems approach to proton tunnelling in DNA“, Communications Physics, 05 May 2022

## Graphene dark matter detector

Graphene sparks interest in dark matter scientists who search for devices that would be most suitable in detecting dark matter, using such properties of graphene like the small gap in massive Dirac cones [1, 2] or as graphene layered in heterostructure with hexagonal boron nitride atop graphene MoS2 bilayer photodetector [3]

[1] R. Matthias Geilhufe, et al., “Materials Informatics for Dark Matter Detection“, Physica Status Solidi-Rapid Research Letters, 2018

[2] Bart Olsthoorn and Alexander V. Balatsky, “Mass fluctuations and absorption rates in Dirac materials sensors“, Materials Science, Physics, 2019

[3] Shang-Yung Wang, “Graphene-based detectors for directional dark matter detection“, Eur. Phys. J. C, 2019

## Chinese Quantum Computer based on photons

Gaussian Boson Sampling (GBS) is a protocol developed by Hamilton et al.  in 2017 that uses single mode squeezed states (SMSS) as a nonclassical resource with outputs patterns in the photon number basis [1].

[1]  Hamilton, et al., “Gaussian Boson Sampling”, Physical Review Letters, 2017

[2] Quesada, et al., “Gaussian boson sampling using threshold detectors”, Physical Review, 2018

[3] Zhong, et al., “Quantum computational advantage using photons”, Science, 2020

## HoloQuantum HyperNetwork Theory

Alireza Tavanfar
Instituto de Telecomunicações,
Physics of Information and Quantum Technologies Group, Lisbon, Portugal.
alireza.tavanfar@cern.ch

The fundamental, general, kinematically-and-dynamically complete quantum many body theory of the entirely-quantized HyperNetworks, namely HoloQuantum HyperNetwork Theory, ‘M’, is axiomatically defined and formulated out of a unique system of nine principles. HoloQuantum HyperNetworks are all the quantum states of a purely-information-theoretic (0+1) dimensional closed quantum many body system of the abstract qubits of the ‘absences-or-presences’ endowed with a complete distinctive set of abstract many-body interactions among them. All the many-body interactions and the complete total Hamiltonian of M are uniquely obtained upon realizing the kinematical-and-dynamical quantum-hypergraphical well-definedness by all the ‘cascade operators’, the quantum-hypergraphical isomorphisms, the global-phase U(1) redundancies of the multi-qubit states, the minimally-broken equal treatment of the abstract qubits, the maximal randomness, and ‘covariant completeness’. Mathematically, HoloQuantum HyperNetworks formulate in completeness all possible unitarily-evolving quantum superpositions of all the arbitrarily-chosen hypergraphs. Physically, HoloQuantum HyperNetworks formulate all the dynamical purely-information-theoretic states of every realizable quantum many body system of the arbitrarily-chosen quantum objects and their arbitrarily-chosen quantum relations. Being so, HoloQuantum HyperNetwork Theory, M, is proposed as the fundamental, complete and covariant ‘it-from-qubit’ theory of ‘All Quantum Natures’.

Alireza Tavanfar, “HoloQuantum HyperNetwork Theory“, General Physics, Quantum Physics, 2018