Here's the problem. Atoms aren't created ex-nihilo.
They are, as far as we understand them, hierarchical arrangements of fundamental particles that already exist.
An equation generally models some aspect of a state or a process. So I'm not quite sure how to reply with an equation - even the Schrödinger equation for the electron in a hydrogen atom tells me nothing about that electron except for its probability of being in a given energy or state.
Having said that, one could tease an atom into being by firing low speed electrons at a bare proton - but I don't think that that's what you're looking for.
In the context of an individual atom, the fundamental equation that governs its behavior is rooted in quantum mechanics. The behavior and properties of an atom are described by the Schrödinger equation. This equation is a fundamental principle in quantum mechanics and provides a mathematical description of how the quantum state of a physical system changes over time.
The time-independent Schrödinger equation for a single particle, such as an electron in an atom, is written as:
Hψ=Eψ
Here,
H represents the Hamiltonian operator, which describes the total energy of the particle.
ψ is the wave function that characterizes the quantum state of the particle.
E is the energy of the particle.
For a single atom, the Schrödinger equation is used to determine the allowed energy levels, or eigenstates, of the electrons within the atom. The solutions to the Schrödinger equation provide information about the probability of finding an electron at a particular location in the atom, the atom's energy levels, and its behavior.
The Schrödinger equation doesn't specifically describe the "birth" of an atom but rather characterizes its behavior and properties once formed. The birth of an atom occurs through various processes, such as nuclear fusion, nucleosynthesis in stars, or other atomic formation mechanisms based on the elements involved. However, the behavior of the atom once formed and the properties of its constituent electrons are described by the Schrödinger equation in quantum mechanics.
Understanding the precise origin of atoms is of paramount significance. Without a clear definition of this foundational creation, our subsequent efforts merely entail the study of behavior and the subsequent prediction of actions based on observed behavior and outcomes. While the process of birth endows entities with characteristics that may evolve over time due to environmental factors, temperature, and various influences, but fundamental attributes ultimately stem from the creation process. Thus, delving into the genesis of atoms becomes imperative.
Now, I'd like to explore two perspectives on this matter.
Firstly, we can consider the religious viewpoint. It's important to acknowledge that this perspective is a matter of personal belief, and one is free to accept or reject it. Some individuals hold the belief that a divine entity, such as God, initiated the creation of atoms, then orchestrating events like the Big Bang or a scenario where atoms coalesced. God initially closely aligned all the atom into very close proximity formed a substantial crystal structure. Eventually, this structure became unable to maintain its cohesion, leading to a catastrophic disintegration. It's worth noting that the assertion of a divine creator may be contentious for some, and I'll respect differing opinions on this matter.
In second intriguing perspective, I explore a more contentious idea that Earth could be envisioned as a living machine. While this notion may seem squarely rooted in science fiction, it carries a certain depth. Here, Earth operates as a living mechanism, powered by fundamental particles. Its purpose is to utilize these particles to sustain itself. It's essential to clarify that this sustenance doesn't revolve around human needs but can be categorized into three distinct phases.
The first phase involves supporting and nurturing life on Earth. The second phase marks a period where Earth seemingly resets, leading to the decline and elimination of existing life forms. The third phase represents a sort of "cool-off" period during which Earth readies itself for the emergence of new life, forming a cycle spanning billions of years.
The earth created the first Atom and combined them into a closed envelope
As atoms gradually drew closer together, they coalesced into a vast, nameless crystal comprised of countless atoms. Over time, intricate interactions unfolded within this crystal structure, as previously discussed in my earlier paper.
This complex interplay eventually led to a catastrophic rupture within the crystal, a process projected to persist until reaching a critical juncture. These breaks, while giving rise to our universe and the various forms of existence, are not isolated events. Instead, they are governed by a form of computing overseen by the central, gigantic crystal structure. Intriguingly, this massive crystal, despite its ongoing separation, maintains communication with its separated particles.
In essence, this perspective posits that everything in our universe is orchestrated by the influence of this monumental crystal. It suggests that all entities originated from a singular crystal or possess a common underlying characteristic that brings them into a state of coexistence.
Thank you
James Garry Yetoka Swu thank you for your continued contribution
And a great deal of evidence suggests that this notion is wrong.
(the very existence of Population II and III stars, for example)
The present paradigm (well-supported by the CMBR and current models of atomic physics) has a distant era within which atoms become stable. Before this epoch the cosmos was too hot to allow atoms to form as stable entities.
It is a common undergraduate exercise to deduce the age of the cosmos using the first ionization energy of hydrogen and the effective blackbody temperature of the CMBR.
Hey James Garry thanks for your continued patience, I might be wrong, and I shall be going through what you suggested,
and also this evening I went through a literature stating electron came first and then it condensed into nucleus structure resulting in formation for first atom. If this literature is right then it should be able to provide equation of atom formation.
I am genuinely looking for that equation, that might help me in solidifying E concept.
I know suggesting earth created atom or even earth or any planet is alive machine making and regulating the cosmos or atoms so to say, have no substance.
Can you direct me to this remarkable text that speaks of an electron somehow condensing into a nucleus?
This is not supported by anything that we currently know. Electrons cannot, by any known process, change their charge or spin to become the constituent (hypothetical) quarks that make up nuclear baryons. You have to violate a good handful of conservation rules to do that.
Instead, it is widely thought that nuclei condensed from their constituent baryons at some epoch far earlier than that at which atoms became stable.
I can write down equations that can describe the energy and momentum of a particle (with or without spin or charge) - and can equate the energy balance needed to form particle-anti-particle pairs. But I really think that you are looking for something that does not exist.
I know suggesting earth created atom or even earth or any planet is alive machine making and regulating the cosmos or atoms so to say, have no substance
I see no merit in saying things that are demonstrably wrong.
The equation that defines the birth of a single atom of any element is not distinctively defined, in Chemistry or Physics. Atoms are not treated as living organisms,meaning that atoms are not "born" or birthed like other living organisms do, however, atoms are essential particles that constitute all matter universally which are formed by nuclear fusion, radioactive decay etc.
The equation that defines the birth of a single atom of any element is not distinctively defined, in Chemistry or Physics. Atoms are not treated as living organisms,meaning that atoms are not "born" or birthed like other living organisms do, however, atoms are essential particles that constitute all matter universally which are formed by nuclear fusion, radioactive decay etc.