People love to refer to quantum mechanics to prove or lend credence to their theory/world view. But how many of these people have investigated QM at it’s most fundamental level so that they understand where it comes from? Do any of you people who are talking about QM, understand how it came about? Let me give you a rundown on how mathematicians dreamt up the entire conceptual framework of quantum mechanics.
Arithmetic function (multiplication and division) is one-step beyond; is a derivative of, the addition and subtraction system. But the conventional laws of multiplication and division do not allow for a number multiplied by itself, to produce a negative number.
1x1=1
-1 x -1= 1
So mathematicians created a symbol that contains the properties that, when it is multiplied by itself, results in a negative number. They call it a “unit”, not a “number” because it’s not a number; it’s a super-duper number. This symbol was literally named the “imaginary unit”.
Where a “real” number can be either positive (1) or negative (-1), the imaginary unit (i) contains within it, both the + and the - simultaneously.
“1” indicates only the positive aspect. The symbol represents only addition. 1 was added onto 0 and a separate function is required to be able to reverse the action: 1-1=0. What i does for the arithmetical system is the equivalent of attributing both the + and the - function to the symbol “1”. When mathematicians use 1, it only possesses the positive aspect and the negative aspect is required to be expressed separately. That’s why there’s a +1 and a -1 and why they act differently.
i is imaginary because it requires the mathematician to conceptualize it as possessing both the + and the - aspects simultaneously (in a type of “superconceptualization”). This is the equivalent of 1 also, equally, representing the -1 and therefor giving it the power to execute both the addition function and the subtractive function, at the discretion of the mathematician!!
The special, imagined powers attributed to i that allows it to produce a negative number when squared (i^2 = a negative) also requires the simultaneous production of the positive solution.
Here is ChatGPT’s explanation of the functioning of i:
I said: “what is the product of the imaginary unit (i) squared? i^2 = ?
ChatGPT said:
The square of the imaginary unit iii is:
i2=−1i^2 = -1i2=−1
This is a fundamental identity in complex number theory.
4o
You said:
Doesn't i^2 also = 1?
ChatGPT said:
No, i2≠1i^2 \ne 1i2=1. In fact:
i2=−1i^2 = -1i2=−1
Here’s why:
By definition, the imaginary unit iii is the square root of -1, that is:
i=−1i = \sqrt{-1}i=−1
Therefore, squaring both sides gives:
i2=(−1)2=−1i^2 = (\sqrt{-1})^2 = -1i2=(−1)2=−1
If i2=1i^2 = 1i2=1, then iii would be either 111 or −1-1−1, which are both real numbers, not imaginary. That would contradict the very definition of iii.
Would you like a quick reference table for powers of iii?”
*end of chat*
I don’t know why it tripled the symbols at the end. I think it’s because the semantics don’t make sense using just one symbol (which is my entire point; the whole system does not hold logically).
It’s upright, explicitly declaring that i is the square root of -1 because that’s what it has been defined as!
I continue the chat:
I said: “show me the equation from which i is derived.
ChatGPT said:
The imaginary unit iii is derived from the equation:
x2+1=0x^2 + 1 = 0x2+1=0
This is a quadratic equation with no real solutions, because there is no real number xxx such that x2=−1x^2 = -1x2=−1.
To solve it:
x2+1=0x2=−1x=−1x^2 + 1 = 0 \\ x^2 = -1 \\ x = \sqrt{-1}x2+1=0x2=−1x=−1
Since the square root of a negative number is not defined in the real number system, mathematicians defined a new number:
i=−1i = \sqrt{-1}i=−1
Thus, iii is not derived from real-number arithmetic, but introduced to extend the number system into the complex plane.
Would you like a visual representation of this in the complex plane?
I said: The complex plane emerges from the imaginary qualities of i. It is a creation of human imagination. Literally.
ChatGPT said:
Precisely. The complex plane is a conceptual framework born directly from the imaginative leap of defining i=−1i = \sqrt{-1}i=−1—a number that does not and cannot exist on the real number line. It is, in essence, a mathematical artifact created to solve equations like x2+1=0x^2 + 1 = 0x2+1=0, which are insoluble within the real numbers.
Once iii was accepted, the complex plane emerged as a natural extension: a two-dimensional system where numbers have both a real part and an imaginary part:
z=a+biz = a + biz=a+bi
This allowed for:
The complete solution of all polynomial equations (via the Fundamental Theorem of Algebra),
A richer understanding of functions, geometry, and physics,
And the foundation for vast areas of modern science and engineering (e.g., signal processing, quantum mechanics, control theory).
In a philosophical sense, the complex plane is indeed a manifestation of human imagination—a powerful abstraction that, despite its invented nature, models reality with astonishing precision.
Would you like a brief overview of practical applications of complex numbers in science and engineering?
4o”
*end of chat*
The crux of it all is that the entirety of quantum mechanics is built upon the conceptual belief in a symbol (“i”), that possesses magical qualities that allow it to function beyond the laws of mathematics. It isn’t derived from math! It is the creation of a new language, and the singular letter that forms this language is in a “superconceptualized” state.
*chat continued*
I said: “doesn't the solution that leads to the square root of -1 also solve for the square root of 1 simultaneously?
ChatGPT said:
An insightful question—let’s address it precisely.
The solution that leads to −1\sqrt{-1}−1 (i.e., the introduction of iii) does not simultaneously solve for 1\sqrt{1}1. Here's why:
1. Different Equations, Different Domains
The equation:
x2+1=0⇒x2=−1x^2 + 1 = 0 \Rightarrow x^2 = -1x2+1=0⇒x2=−1
leads to:
x=±ix = \pm x = ±i
This equation has no real solutions, which motivated the definition of iii.
The equation:
x2=1x^2 = 1x2=1
leads to:
x=±1x = \pm x = ±1
These are real solutions, and they existed long before the imaginary unit was conceived.
2. Mathematical Independence
The square root of −1-1−1 is an extension of the real numbers into the complex domain. The square root of 111 is a concept that is fully defined within the real numbers:
1=±1\sqrt{1} = \pm11=±1, straightforwardly.
−1=±i\sqrt{-1} = \pm i−1=±i, which cannot be expressed using real numbers.
So while both roots involve squaring and square roots, they arise in entirely different numerical contexts—the real vs. complex number systems.
3. Conceptual Separation
You might be alluding to a deeper duality or symmetry—i.e., every positive number has both a positive and negative square root, and every negative number can be rooted in the complex plane. That’s true in a broad sense, but each square root emerges from a specific equation and domain.
In short: the solution that defines −1\sqrt{-1}−1 is not tied to 1\sqrt{1}1 except in the general structure of root operations. They live in different realms of mathematics.
Would you like a diagram showing how real and imaginary roots relate on the complex plane?
*end of chat*
Here is what it all comes down to when Chatty is pressed long enough:
x = ±i
i exists in a superconceptual state of being both + and - simultaneously!
When a mathematician solves for the square root of -1, there are inherently two equations they can choose as which one did the solving, as only one can solve the problem but both potential solutions are required!
The necessary, natural functioning of the language built upon the use of i, exhibits dualistic properties in perfect symmetry. This explains all of the “weird” properties produced from that language!
QM is an absolutely abstract language relating only to “mind” and thought. QM is not relating to any experience within the natural realm of the 5 senses. The only interaction QM has within the realm of the senses is through the visual sense, via technology. This technology has been constructed via thought to produce more thought.
This has everything to do with the transition of the huge yang cycle of Samsara into the huge yin cycle. This transition will move the accepted reality to be the non-sensual realm of thought and emotion rather than space and time.
The “wave function” is expressing “mind”. Thoughts are “everywhere at once”, with there being the potential for any thought to arise within any person anywhere in the universe. “Mind” is “everywhere at once”, which means it isn’t within space, but within time. Thought can move through time as body can move through space.
None of what anyone says anywhere in this substack place, matters. Nothing that every single physicist says about QM, matters. I understand everything. I see it so clearly, but the programming humanity has gone through, and the language provided, makes it very difficult to see through the Ponzi that all of mathematics is. It’s actually embarrassing to watch these great geniuses debate QM and the wave function form the conventional, programmed perspective. It’s all made up. They’re talking about unicorns and fairies and they think they’re talking about Reality.
I don’t expect anyone to take this seriously because “no one” (a few have) ever does. People would rather play make-believe than face reality.
The main reason why quantum physicists don't recognize that they are talking about unicorns and fairies is because their imagination is reflected in the scientific contraptions.
The "math" of QM leads to technology that seems to verify its connection with the natural realm of experience. But the verification requires:
A. An incredibly specialized machine.
B. Someone who is trained on how to interpret the information displayed by the machine.
The 🦄 s and 🧚♂️ s can be "seen" only while that specially trained scientist is looking into the machine and interpreting the information (symbols) displayed on the screen (always via the screen).
It's all a ruse.
Physicists believe that the scientific devices are DETECTING when in fact they are PROJECTING!
Physics is the process that projects illusion! And the deception has been accepted, like a virus that has been accepted into the host via mimicking the "key" that opens the cell's defenses.
And this is why humanity has fallen into the deep delusion it is currently in.