NON-DUALITY
![Picture](/uploads/4/5/1/6/4516117/published/2021-12-16-19-32-11.png?1639701308)
Superposition is where particles can do 2, a thousand or a million things at once... Including being at 2 , 1000, or million places at once.
This principle is responsible for the fact that our universe is a richly complex and interesting place to be.
The Non-dual Wavefunction Ѱ and Superposition States
To understand this profound mystery in light of quantum mechanics, let me briefly explain what a wavefunction is in quantum theory as it is central to this understanding. Quantum physics tells us that each quantum system, regardless of the number of components, can be assigned a single wave function that contains all the information about the system as whole. The quantum system can contain one electron or a billion, even the entire Universe, but in ANY case one wave function is enough to describe the entire system. This holism is one of the central hallmarks of quantum mechanics that is not present in classical or Newtonian physics. Quantum mechanics treats its objects whether an atom of a galaxy, as a whole and not as composed of separate parts. There is an intrinsic connection, called entanglement, between the seemingly separate components of the whole of which quantum mechanics is aware.
Another important feature of quantum systems that is counterintuitive is the idea of superposition. The wave function not only connects all the seemingly separate components in one Whole, but encodes a spectrum of possibilities or potentia as Heisenberg called them. This means a quantum particle can literally be many places at once, or many different frequencies at once, or any possible history or trajectory all at once limited only by the constraints of the experiment or system. But this superposition of possibilities is outside of space and time altogether, it is not like an electron is physically in many places at once, it literally does not exist in space time AT ALL until measured!
Objects are only in possibilities or superpositions until measured.
The outcome of observation heavily depends on the constitution of the measuring device which is a manifestation of the intention of the scientist.
Different eigenfunctions and corresponding eigenvectors for different observables which depend on the measuring device.
We force and pin down the wild and free nature of Mother Nature to assume one type of outcome. Measurements are never seeing Reality as it is, but rather the particular way we look at it.
Performing a measurement on a quantum system throws the system out of the nondual superposition state and into an actual eigenstate.
The wavefunction can collapse with an observer, but the measuring device is made by human thought and intention.
This principle is responsible for the fact that our universe is a richly complex and interesting place to be.
The Non-dual Wavefunction Ѱ and Superposition States
To understand this profound mystery in light of quantum mechanics, let me briefly explain what a wavefunction is in quantum theory as it is central to this understanding. Quantum physics tells us that each quantum system, regardless of the number of components, can be assigned a single wave function that contains all the information about the system as whole. The quantum system can contain one electron or a billion, even the entire Universe, but in ANY case one wave function is enough to describe the entire system. This holism is one of the central hallmarks of quantum mechanics that is not present in classical or Newtonian physics. Quantum mechanics treats its objects whether an atom of a galaxy, as a whole and not as composed of separate parts. There is an intrinsic connection, called entanglement, between the seemingly separate components of the whole of which quantum mechanics is aware.
Another important feature of quantum systems that is counterintuitive is the idea of superposition. The wave function not only connects all the seemingly separate components in one Whole, but encodes a spectrum of possibilities or potentia as Heisenberg called them. This means a quantum particle can literally be many places at once, or many different frequencies at once, or any possible history or trajectory all at once limited only by the constraints of the experiment or system. But this superposition of possibilities is outside of space and time altogether, it is not like an electron is physically in many places at once, it literally does not exist in space time AT ALL until measured!
Objects are only in possibilities or superpositions until measured.
The outcome of observation heavily depends on the constitution of the measuring device which is a manifestation of the intention of the scientist.
Different eigenfunctions and corresponding eigenvectors for different observables which depend on the measuring device.
We force and pin down the wild and free nature of Mother Nature to assume one type of outcome. Measurements are never seeing Reality as it is, but rather the particular way we look at it.
Performing a measurement on a quantum system throws the system out of the nondual superposition state and into an actual eigenstate.
The wavefunction can collapse with an observer, but the measuring device is made by human thought and intention.
Main Ingredients of QM are 2-fold
1) Evolution of Quantum System encoded by Schrodinger Equation/Wavefunctions
2) Measurement of the Quantum System by a Conscious Observer 'collapsing' it into one of its possible states.
Schrodinger Equation
Wave Particle Duality - Double Slit Experiment
I. Superposition States - Potential - No Objects= No Subjects = Nonduality
WaveFunction, Encodes, position, momentum, energy, etc.
1) Quantization - h - planck
2) Superposition ΣAi*Ѱ(x) - Eigenstates of Wavefunction
3) Uncertainty Principle
4) Orbitals of Atoms S, P, L, M Full expression of Wavefunctions
5) Identical Particles of Pauli Exclusion
Superpositions are as unreal as a whisp of smoke.
Choice/Decision comes in Wholes
II. Collapse - Measurement - REALITY - Object Manifests = Subject Observing = Duality
0) Observer Effect - Consciousness creates reality
5) Probability P(i) = |Ai|^2 (not deterministic). Modifications of classical probability law.
1) Evolution of Quantum System encoded by Schrodinger Equation/Wavefunctions
2) Measurement of the Quantum System by a Conscious Observer 'collapsing' it into one of its possible states.
Schrodinger Equation
Wave Particle Duality - Double Slit Experiment
I. Superposition States - Potential - No Objects= No Subjects = Nonduality
WaveFunction, Encodes, position, momentum, energy, etc.
1) Quantization - h - planck
2) Superposition ΣAi*Ѱ(x) - Eigenstates of Wavefunction
3) Uncertainty Principle
4) Orbitals of Atoms S, P, L, M Full expression of Wavefunctions
5) Identical Particles of Pauli Exclusion
Superpositions are as unreal as a whisp of smoke.
Choice/Decision comes in Wholes
II. Collapse - Measurement - REALITY - Object Manifests = Subject Observing = Duality
0) Observer Effect - Consciousness creates reality
5) Probability P(i) = |Ai|^2 (not deterministic). Modifications of classical probability law.
![Picture](/uploads/4/5/1/6/4516117/published/feynman_8.jpg)
The double slit experiment is absolutely impossible to explain in any classical way and has in it the heart of quantum mechanics.
In reality, it contains the only mystery."
- Richard Feynman
A lot can be learned conceptually about Quantum Mechanics from the double slit actual experiment and Schrondinger's Cat thought experiment. All the central mysteries of quantum mechanics lurk in these two examples, such as the wave-particle duality, the uncertainty principle, superposition, entanglement, and the measurement problem. If you deeply understand this experiment, even conceptually, you'll be on firm ground in understanding how quantum mechanics confirms the non-dual nature of the Universe
In reality, it contains the only mystery."
- Richard Feynman
A lot can be learned conceptually about Quantum Mechanics from the double slit actual experiment and Schrondinger's Cat thought experiment. All the central mysteries of quantum mechanics lurk in these two examples, such as the wave-particle duality, the uncertainty principle, superposition, entanglement, and the measurement problem. If you deeply understand this experiment, even conceptually, you'll be on firm ground in understanding how quantum mechanics confirms the non-dual nature of the Universe
![Picture](/uploads/4/5/1/6/4516117/published/fig-37-1-two-slit-particles_8.jpg)
The Central Mystery of Quantum Mechanics
A gun (obeying classical physics) sprays bullets towards a target. Before they reach the target, they must pass through a screen with two slits. If bullets go through the slits they will most likely land directly behind the slit, but if they come in at a slight angle, they will land slightly to the sides. The resulting pattern is a map of the likelihood of a bullet landing at each point.
A gun (obeying classical physics) sprays bullets towards a target. Before they reach the target, they must pass through a screen with two slits. If bullets go through the slits they will most likely land directly behind the slit, but if they come in at a slight angle, they will land slightly to the sides. The resulting pattern is a map of the likelihood of a bullet landing at each point.
![Picture](/uploads/4/5/1/6/4516117/published/2021-12-08-14-14-33_8.png)
The above two-slit pattern happens to be simply the sum of the patterns for each slit considered separately: if half the bullets were fired with only the left slit open and then half were fired with just the right slit open, the result would be the same.
With waves, however, the result is very different, because of interference. If the slits were opened one at a time, the pattern would resemble that for bullets: two distinct peaks. But when both slits are open, the waves pass through both slits at once and interfere with each other: where they are in phase they reinforce each other; where they are out of phase they cancel each other out.
With waves, however, the result is very different, because of interference. If the slits were opened one at a time, the pattern would resemble that for bullets: two distinct peaks. But when both slits are open, the waves pass through both slits at once and interfere with each other: where they are in phase they reinforce each other; where they are out of phase they cancel each other out.
![Picture](/uploads/4/5/1/6/4516117/published/2021-12-08-14-15-50_8.png)
Now the quantum paradox:
Electrons, like bullets, strike the target one at a time. Yet, like waves, they create an interference pattern.
Electrons, like bullets, strike the target one at a time. Yet, like waves, they create an interference pattern.
![Picture](/uploads/4/5/1/6/4516117/published/2021-12-08-14-18-02_8.png)
If each electron passes individually through one slit, with what does it “interfere?” Although each electron arrives at the target at a single place and time, it seems that each has passed through – or somehow felt the presence of both slits at once. Thus, the electron is understood in terms of a wave-particle duality.
The wave-particle duality is the central mystery of quantum mechanics–the one to which all others can ultimately be reduced.
The wave-particle duality is the central mystery of quantum mechanics–the one to which all others can ultimately be reduced.