Mind-Blowing Theories on Nothingness You Need to Know | Documentary

Dude, nothing is not a perfect vacuus. Space is something. Time is something. An admirable knowledge of physics but no understanding of what true nothingness is. As another commenter pointed out, nothing is the one thing that cannot exist. Another noted that even being a concept in our head is something. Nothing is inscrutable.

Nothing is the one thing that cannot exist.

Assume nothing exists. Therefore something exists (the nothing that exists). Thus proof by contradiction, nothing does not exist and therefore something exists, which requires a universe to exist in.

In essence, no one really can define what "nothingness" is. In fact, when you say and think of nothingness you already say and think of an idea of something, which is no-thing, which then trying to put no-thing in your mind. Nothingness, in essence, is beyond ideas. It is beyond nothingness itself.

Let me offer some preliminary proofs and arguments for the primacy of zero (0) and dimensionlessness (0D) while drawing on insights from various fields of mathematics and physics: Theorem 1: The zero vector is the unique additive identity in any vector space. Proof: Let V be a vector space over a field F, and let 0 be the zero vector in V. For any vector v in V, we have: v + 0 = v (by definition of the zero vector) 0 + v = v (by commutativity of vector addition) Therefore, 0 is an additive identity in V. To prove uniqueness, suppose there exists another additive identity e in V, such that: v + e = v and e + v = v for all v in V Then, we have: e = e + 0 (since 0 is an additive identity) = 0 (since e is also an additive identity) Therefore, 0 is the unique additive identity in V. This proof demonstrates the fundamental role of the zero vector in the structure of vector spaces, and suggests that zero may be the ultimate ground or reference point for all mathematical objects and operations. Theorem 2: The vacuum state is the lowest energy state in quantum field theory. Proof: In quantum field theory, the vacuum state |0⟩ is defined as the state with the lowest possible energy. This follows from the postulates of quantum mechanics and the properties of the quantum harmonic oscillator. Consider a quantum harmonic oscillator with Hamiltonian H, which can be expressed in terms of the creation and annihilation operators a† and a as: H = ℏω(a†a + 1/2) where ℏ is the reduced Planck constant and ω is the angular frequency of the oscillator. The vacuum state |0⟩ is defined as the state that is annihilated by the annihilation operator: a|0⟩ = 0 Applying the Hamiltonian to the vacuum state, we have: H|0⟩ = ℏω(a†a + 1/2)|0⟩ = ℏω(a†(a|0⟩) + 1/2|0⟩) = ℏω(a†(0) + 1/2|0⟩) = (ℏω/2)|0⟩ Therefore, the vacuum state has an energy of ℏω/2, which is the lowest possible energy state of the quantum harmonic oscillator. In quantum field theory, each mode of a quantum field can be treated as a quantum harmonic oscillator, and the vacuum state of the field is defined as the tensor product of the vacuum states of all the individual modes. Therefore, the vacuum state is the lowest energy state of the entire quantum field. This proof highlights the fundamental role of the vacuum state in quantum field theory, and suggests that the zero-point energy of the vacuum may be the ultimate source of all physical phenomena. Theorem 3: The empty set is a subset of every set. Proof: Let A be any set, and let ∅ be the empty set. To prove that ∅ is a subset of A, we need to show that every element of ∅ is also an element of A. However, ∅ has no elements by definition. Therefore, the statement "every element of ∅ is also an element of A" is vacuously true, since there are no elements of ∅ to begin with. Thus, ∅ is a subset of A. This proof demonstrates the fundamental role of the empty set in set theory, and suggests that the concept of nothingness or void may be the ultimate foundation of all mathematical structures. Theorem 4: The zero matrix is the unique matrix that represents the linear transformation that maps all vectors to the zero vector. Proof: Let V be a vector space over a field F, and let A be an n × n matrix over F. Suppose A represents a linear transformation T : V → V that maps all vectors to the zero vector, i.e., T(v) = 0 for all v in V. Let e_i be the standard basis vectors of V, i.e., e_i has a 1 in the i-th position and 0s elsewhere. Then, we have: T(e_i) = 0 for all i from 1 to n But T(e_i) is also equal to the i-th column of A, since: T(e_i) = Ae_i = [a_1i, a_2i, ..., a_ni]^T where a_ji is the entry in the j-th row and i-th column of A. Therefore, we have: [a_1i, a_2i, ..., a_ni]^T = 0 for all i from 1 to n This implies that all entries of A must be zero, i.e., A is the zero matrix. To prove uniqueness, suppose there exists another matrix B that represents the same linear transformation T. Then, by the same argument as above, all entries of B must also be zero. Therefore, B is equal to the zero matrix, and the zero matrix is the unique matrix that represents the linear transformation that maps all vectors to the zero vector. This proof highlights the special role of the zero matrix in representing the most degenerate linear transformation, and suggests that zero may be the foundational concept underlying all linear mappings and transformations. Theorem 5: The Euler characteristic of a topological space is a topological invariant. Proof: Let X be a topological space, and let χ(X) be its Euler characteristic, defined as: χ(X) = Σ_i (-1)^i β_i where β_i is the i-th Betti number of X, which counts the number of i-dimensional "holes" in X. To prove that χ(X) is a topological invariant, we need to show that it remains unchanged under continuous deformations of X, such as stretching, twisting, or bending, but not tearing or gluing. Consider a continuous map f : X → Y between two topological spaces X and Y. The induced homomorphisms on the homology groups of X and Y satisfy the following property: f_* : H_i(X) → H_i(Y) is a group homomorphism for each i Moreover, the alternating sum of the ranks of these homomorphisms is equal to the Euler characteristic: Σ_i (-1)^i rank(f_*) = χ(X) - χ(Y) Now, if f is a homeomorphism, i.e., a continuous bijection with a continuous inverse, then the induced homomorphisms f_* are isomorphisms, and their ranks are equal to the Betti numbers of X and Y: rank(f_*) = β_i(X) = β_i(Y) for each i Therefore, we have: Σ_i (-1)^i rank(f_*) = Σ_i (-1)^i β_i(X) - Σ_i (-1)^i β_i(Y) = χ(X) - χ(Y) = 0 This implies that χ(X) = χ(Y) whenever X and Y are homeomorphic, i.e., χ is a topological invariant. This proof highlights the fundamental role of the Euler characteristic in capturing the essential topological properties of a space, and suggests that the concept of zero or nothingness may be intimately connected to the deep structure of space and time. Theorem 6: The partition function of a quantum statistical system can be expressed as a sum over all possible configurations, weighted by the exponential of the negative energy divided by the temperature. Proof: Let H be the Hamiltonian of a quantum statistical system, and let β = 1/kT be the inverse temperature, where k is the Boltzmann constant and T is the absolute temperature. The partition function Z of the system is defined as: Z = Tr(e^(-βH)) where Tr denotes the trace operation, which sums over all possible states of the system. Using the eigenstates |n⟩ of the Hamiltonian, with corresponding energies E_n, we can express the partition function as: Z = Σ_n ⟨n|e^(-βH)|n⟩ = Σ_n e^(-βE_n) where we have used the fact that the exponential of a diagonal matrix is the exponential of its diagonal entries. Now, each eigenstate |n⟩ corresponds to a particular configuration of the system, with a certain energy E_n. The sum over all possible states can therefore be interpreted as a sum over all possible configurations, weighted by the exponential of the negative energy divided by the temperature. This result is known as the Boltzmann distribution, and it forms the foundation of statistical mechanics. It allows us to calculate various thermodynamic quantities, such as the average energy, entropy, and free energy of the system, in terms of the partition function and its derivatives. The fact that the partition function can be expressed as a sum over all possible configurations, including the "empty" or "vacuum" configuration with zero energy, suggests that the concept of zero or nothingness may play a fundamental role in the statistical properties of matter and energy.

Remember… nothing lasts forever!

We use a lot of wrong words like Nothingness and then we believe that they mean something real. Words are often empty.

In the 70’s the swinger effect was usually hurt feelings.

Fascinating

After ChatGPT entered the stage, the use of the word "delve" has sky rocketed!

What is nothing(ness)? Nothing means: no matter, no energy (no radiation, no fields also, no virtual particles), no space, no time, no laws of nature (physics, chemistry), and of course no math (and no chance or possibility, because chance and possibility is also math), because all laws of nature obey math. But there is still something…. even with these all no-s. So nothing, beside this, it means also non physical entities, what ever they might be. By the way, the absence of something is also something…. and so on. In fact, really nothing, doesn’t even exist… So… from nothings comes only nothing, and nothing else excuse the pun. Nothing means also NO causality, because causality is something, and when we are speaking of nothing means also no causality, no logic, and so on, as I mentioned already. If nothingness will be a force (or considered as such), it wouldn’t be nothingness anymore. It will become something…. And something is not nothing.

There really does not exist a 'nothing', everything is a something!

I have learned “Nothing”.

❤ Very good 👍🏼

Nothingness is different than nothing. It's like the difference between an empty void or the number zero and no-thing. No-thing means not even zero, literally no thing, no emptiness, no void, no zero, no nothing. Nothingness exists as a concept if nothing else, but nothing at all can be said about "no-thing." It has no words. It doesnt exist.

(0:02:00) Heat cannot enter an empty container. Heat is the expression of motion - molecules of gas or particles for example. You cannot measure heat otherwise so that statement is meaningless, unless particles can spontaneously appear in the container. Of course you can measure the temperature (heat) of the container, but that does not reflect heat inside, but outside the container presumably. In any case, our brains are dualistic comparators - yin/yang. We can only think in terms of yes/no, hot/cold, empty/full. Doesn’t mean those “ideas” are real. Nothingness is just as artificial as “somethingness”.

If "nothing" could exist, it would be without time. What does it mean to exist for a literally zero span of time? It means... it can't exist

Using pure logic, If we take "Nothing" to mean the absence of everything and anything (which is a human concept), it doesn't exist. There is no such thing as "Nothing". "Nothing", could not exist if there is something to compare it to. In a case where there is "something" to compare "nothing" to, the "nothing" would be a potential difference...Not "nothing". There is no example in nature of "nothing". Don C.

Nothing in itself is something

I love your mix of philosophy and physics videos.