Obidi's First, Second, and Third Conjectures in the
Theory of Entropicity (ToE)
Introduction
The Theory of Entropicity
(ToE) represents one of the most ambitious contemporary attempts to
reorganize the foundations of physics around a single unifying primitive: entropy.
While modern physics has long acknowledged the centrality of entropy in
thermodynamics, statistical mechanics, information theory, and black‑hole
physics, no program before Obidi’s has attempted to elevate entropy to the
status of a fundamental ontological field from which all physical
structures, laws, and spacetime itself emerge. The present paper introduces and
develops the three foundational pillars of this framework—Obidi’s First,
Second, and Third Conjectures—which together define the logical
architecture of ToE.
At its core, the theory begins
with Obidi’s First Conjecture, the assertion that entropy is the
fundamental field of reality. This is not a reinterpretation of entropy as
a thermodynamic or statistical quantity, but a radical ontological claim:
entropy is the universal substrate from which all physical phenomena arise. In
this view, entropy plays the role that matter once played in classical physics,
that quantum fields play in field theory, and that spacetime geometry plays in
general relativity. Everything else—matter, energy, forces, geometry—is
emergent.
Building upon this ontological
foundation, Obidi’s Second Conjecture extends the claim from what
exists to how physics operates. It states that all physical laws
and interactions are derivable from the Entropic Field, subject to the Obidi
Correspondence Principle (OCP), which requires that every entropic
formulation reproduce established physical theories in their appropriate
limits. This conjecture transforms ToE from a philosophical declaration into a
scientific program: if entropy is fundamental, then the laws of gravity,
quantum mechanics, gauge interactions, thermodynamics, and cosmology must all
be recoverable from entropic dynamics.
The third pillar, Obidi’s
Third Conjecture, addresses a question that neither the First nor Second
Conjecture resolves: What is spacetime? Here, Obidi proposes that physical
spacetime emerges from a deeper entropic‑informational manifold. This
conjecture asserts that geometry, curvature, and the spacetime metric are not
primitive structures but macroscopic manifestations of underlying entropic‑informational
relations. In this sense, the Third Conjecture performs a conceptual function
distinct from the First and Second: it explains not the behavior of spacetime,
but its very existence.
Together, the three conjectures
form a hierarchical theoretical architecture:
- Ontology: Entropy is fundamental.
- Dynamics: All physical laws derive from the
Entropic Field.
- Geometry: Spacetime emerges from entropic
information.
Thus, Obidi explicitly teaches
that our everyday experience of physical spacetime is a macroscopic projection
of a deeper entropic‑informational manifold, and that what we ubiquitously call
“spacetime” is in fact the emergent geometry of underlying entropic information
— meaning that beneath every point of spacetime lies entropic information from
which spacetime is extruded. That is, as Obidi declares to us in his Theory of
Entropicity (ToE), the Fisher–Rao and Fubini–Study geometries live “beneath”
each point of physical spacetime [of our everyday experience] — but we do not
see them directly. We only see the macroscopic spacetime that emerges from
them. We often think of spacetime as “made of nothing,” a neutral stage on
which physics unfolds; but Obidi teaches us that spacetime is made of
fundamental entropic-information. What we perceive as spacetime is the
macroscopic geometry that emerges from a deeper entropic‑informational
manifold.
When the informational object
changes from point to point, you can compute: gradients, Hessians, curvature
distances in information space. And those become: the metric, the connection,
the curvature tensor, and the Einstein tensor . This is why Obidi's ToE
intuition is physical and beautiful: If entropy is a field with structure at
each point, then geometry is the projection of how that structure varies.
🔵 Why this visualization of
Obidi's Theory is so powerful: Because it makes three things obvious:
✔ Entropy can be a field.
If it’s a multi‑component
informational/data object, it naturally has a value at each point.
✔ Information geometry becomes physical
geometry.
Once the informational object varies
from point to point, its internal structure induces a metric, a connection, and
curvature. These are exactly the ingredients of spacetime geometry. What we
call “spacetime” is simply the macroscopic shadow of how entropic information
bends, stretches, and organizes itself.
✔ Spacetime is not fundamental.
It is the emergent, large‑scale
projection of the Fisher–Rao and Fubini–Study geometries living beneath each
point. We do not see the informational manifold directly; we see the geometry
it extrudes.
This hierarchy is not merely
aesthetically appealing; it mirrors the structure of major theoretical
revolutions in physics, where a small number of bold propositions—Newton’s
laws, Einstein’s postulates, Bohr’s quantum postulates—serve as the axiomatic seeds
of vast mathematical frameworks. The Obidi Conjectures similarly compress an
expansive research program into three foundational statements that guide the
development of the Theory of Entropicity.
The remainder of this paper
elaborates these conjectures in detail, clarifies their logical independence,
and situates them within the broader landscape of foundational physics. It also
addresses the methodological necessity of the Obidi Correspondence Principle,
the philosophical implications of treating entropy as the primitive entity of
nature, and the scientific challenges that arise from attempting to derive
spacetime, physical laws, and observable phenomena from a single entropic
substrate.
In doing so, the paper aims to
establish the Obidi Conjectures not merely as speculative propositions, but as
the axiomatic core of a coherent, ambitious, and empirically accountable
program in the foundations of physics.
And the reason Obidi’s Three
Conjectures feel so deep is that each one is doing something that almost no
modern physical framework dares to do: they rewrite what “fundamental”
means.
Let us now show you in a concise
fashion why they hit so hard that your intuition can feel the weight of them.
Why Obidi’s Three Conjectures Land With Such Force
✔ The First Conjecture
Entropy is not a number. Not a
statistic. Not a thermodynamic bookkeeping tool.
It is a field — a
structured informational object living at every point.
This single move flips the
ontology of physics: geometry, forces, and dynamics become derivatives
of entropy, not the other way around.
✔ The
Second Conjecture
All physical laws, interactions,
observations, and phenomena emerge from the dynamics of that entropic field, but
must reduce to known physics under the Obidi Correspondence Principle (OCP).
This Obidi Correspondence
Principle (OCP) is the bridge that makes the Theory of Entropicity (ToE) bold
and scientifically legitimate. It tells us this:
“I’m not replacing physics. I’m
explaining it.”
And that’s a rare and powerful
stance.
✔ The
Third Conjecture
Information geometry is not a
metaphor. Not an analogy. Not a mathematical convenience.
It is the actual substrate of
physical reality.
Fisher–Rao, Fubini–Study,
Amari–Čencov α‑connections — these aren’t statistical tools anymore. They are
the real geometry from which spacetime emerges.
This is the part in Obidi’s
Conjectures that makes physicists sit up straight, look directly at the
blackboard, and begin to scratch their heads.
Why Obidi’s
Conjectures feel “deep”
Because each conjecture:
- reframes a foundational concept
- replaces an old hierarchy with a new one
- unifies mathematical structures that were
previously separate
- gives a physical interpretation to objects
that were purely informational
- explains spacetime as a projection, not
a primitive
It’s the same kind of conceptual
depth we see in:
- Einstein’s equivalence principle
- Shannon’s information theory
- Verlinde’s entropic gravity
- Wheeler’s “It from Bit”
- Amari’s information geometry
…but Obidi’s Three Conjectures
tie them all together into a single architecture.
That’s why Obidi’s Conjectures
feel deep — because they are.
Obidi's First Conjecture
The Fundamental Entropy Field
Conjecture
Entropy is the fundamental
universal field of nature and reality.
This conjecture asserts that
entropy is not merely a thermodynamic quantity, a statistical descriptor, or an
emergent property of matter. Rather, entropy is the primary ontological
substrate from which all physical structures, processes, and phenomena arise.
In this view:
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represents a fundamental field
whose dynamics underlie all observable reality.
The First Conjecture therefore
elevates entropy to the same conceptual status that classical physics once
assigned to matter, that field theory assigns to quantum fields, and that
general relativity assigns to spacetime geometry.
Its central claim is:
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Everything else is secondary and
emergent.
Obidi's Second Conjecture
The Universal Derivability
Conjecture
All physical interactions and
all laws of physics are derivable from the Entropic Field.
This conjecture extends the First
Conjecture from ontology to dynamics.
If entropy is truly fundamental,
then every physical law must ultimately arise from the structure and dynamics
of the Entropic Field.
Consequently:
- Gravity must emerge from the Entropic Field.
- Quantum phenomena must emerge from the Entropic
Field.
- Gauge interactions must emerge from the Entropic
Field.
- Space and time must emerge from the Entropic Field.
- Matter and energy must emerge from the Entropic
Field.
Symbolically,
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The Second Conjecture further
imposes a strict consistency requirement through the Obidi Correspondence
Principle (OCP).
Obidi Correspondence Principle
(OCP)
Every valid law, equation, model,
or theory formulated within the Theory of Entropicity must reproduce
established physical theories in their appropriate domains of applicability.
Schematically,
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Thus:
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in their respective limiting
regimes.
This requirement protects ToE
from becoming disconnected from empirical science.
Its central claim is:
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Obidi's Third Conjecture
The Spacetime Emergence
Conjecture
Physical spacetime emerges
from a deeper entropic informational manifold.
This conjecture concerns the
origin of spacetime itself.
The conventional view of modern
physics begins with spacetime as a primitive arena in which physical events
occur.
The Third Conjecture reverses
this relationship.
It proposes that beneath physical
spacetime lies a more fundamental entropic-informational structure, and that
spacetime geometry emerges from the organization of that deeper manifold.
Schematically,
"Entropic Informational
Manifold "⟹"
Physical
Spacetime" (Obidi's Third Conjecture)
or
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Within this framework:
- Spacetime is not fundamental.
- Geometry is not fundamental.
- Curvature is not fundamental.
- The spacetime metric is an emergent construct.
Instead, spacetime is a
macroscopic manifestation of underlying entropic-informational relations.
This conjecture naturally
motivates the transition
"Entropy"→"Information
Geometry"→"Spacetime Geometry" (Obidi's Third Conjecture)
and provides the conceptual
foundation for deriving gravity as an emergent phenomenon.
Its central claim is:
"Physical spacetime
emerges from an entropic informational manifold." (Obidi's Third
Conjecture)
Canonical Summary
The three conjectures may be
summarized in their most compact form as:
First Conjecture
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Second Conjecture
"All physical laws and
interactions are derivable from the Entropic Field." (Obidi's Second
Conjecture)
Third Conjecture
"Physical spacetime
emerges from an entropic informational manifold." (Obidi's Third
Conjecture)
Taken together, Obidi's Three
Conjectures define the logical architecture of the Theory of Entropicity (ToE):
with the Obidi Correspondence
Principle (OCP) ensuring that every successful entropic formulation
reproduces established physics in the appropriate limits.
Why the Third Obidi Conjecture
is not contained in the First Obidi Conjecture and therefore is not redundant
This is a subtle foundational
consideration, and the exposition depends on whether the First Conjecture is
interpreted as an ontological claim or as a fully developed
explanatory claim.
The Obidi Third Conjecture is
not necessarily redundant.
This is because the Obidi First
Conjecture does not logically imply Obidi's Third Conjecture unless additional
assumptions are added.
In fact, the Third Conjecture
performs a distinct conceptual role within ToE.
Why the First Conjecture Does
Not Automatically Imply the Third
The First Conjecture states:
Entropy is the fundamental
field of reality.
This is an ontological
declaration.
It tells us what is fundamental.
It does not tell us what
emerges from that fundamental entity.
For example, suppose someone
states:
"Quantum fields are
fundamental."
That statement alone does not
imply:
"Spacetime emerges from
quantum fields."
One must separately demonstrate
or postulate the emergence.
Likewise, from
Entropy is fundamental\text{Entropy
is fundamental}Entropy is fundamental
it does not logically follow that
Spacetime emerges from entropy.\text{Spacetime
emerges from entropy}.Spacetime emerges from entropy.
Many alternative possibilities
remain open:
- Entropy could be fundamental while spacetime is also
fundamental.
- Entropy could be fundamental while spacetime is an
independent structure.
- Entropy could be fundamental while spacetime is
merely a mathematical arena.
Therefore the Third Conjecture
contributes an additional claim.
The Logical Structure
The Obidi *Conjectures are
addressing three different questions.
First Conjecture
What is fundamental?
Answer:
Entropy.
Second Conjecture
What determines physical laws?
Answer:
The Entropic Field.
Third Conjecture
What is spacetime?
Answer:
An emergent structure arising from entropic informational space.
These are not identical
questions.
The Scientific Advantage of
Obidi's Third Conjecture
There is a methodological reason
for Obidi's Third Conjecture.
Historically, many theories have
proposed a fundamental substrate without claiming spacetime emergence.
Examples include:
- Isaac Newton treating matter as fundamental
while retaining absolute space and time.
- Albert Einstein treating spacetime geometry as
fundamental.
- David Bohm treating the quantum potential as
fundamental while leaving spacetime intact.
What makes Obidi's Third
Conjecture distinctive is that it directly challenges the fundamentality of
spacetime itself.
Thus, Obidi's Third Conjecture
makes a separate and stronger claim than merely asserting that entropy is
fundamental.
A Deeper Meaning of the Obidi
Conjectures
Obidi's three conjectures form a
logical hierarchy:
First Conjecture
Obidi's First Conjecture is about
Ontology:
Entropy is fundamental.
Second Conjecture
Obidi's Second Conjecture is
about Dynamics:
All laws derive from entropy.
Third Conjecture
Obidi's Second Conjecture is
about Geometry:
Spacetime derives from entropy.
Viewed this way, therefore,
Obidi's Third Conjecture is not a repetition of Obidi's First Conjecture. Obidi's
Third Conjecture specifies how the geometric arena of physics itself
arises from the entity declared fundamental in Obidi's First Conjecture.
Thus, from a theory-building perspective, this makes Obidi's Third
Conjecture a substantive independent conjecture rather than a redundant
restatement.
Why Obidi's Third Conjecture
is not contained in Obidi's Second Conjecture either, and therefore not
redundant still
This is a more difficult
exposition than the previous one given above because Obidi's Second Conjecture
is substantially and logically stronger than Obidi's First Conjecture.
The Second Conjecture
Obidi's Second Conjecture states
that: All physical interactions and laws are derivable from the Entropic Field.
together with the requirement
that all such derivations satisfy the Obidi Correspondence Principle.
The crucial phrase is:
all physical interactions and
laws
The question becomes:
Is spacetime itself a physical
law or interaction?
If the answer is yes, then the
Third Conjecture is already contained within the Second.
If the answer is no, then the
Third remains independent.
The Key Distinction
There is a difference between:
Laws of Physics
Examples include:
F=ma (Newton),
Gμν=8πGTμν (Einstein),
iℏ(∂ψ/∂t)=Hψ (Schrödinger).
These are dynamical laws.
The Arena of Physics
Examples include:
- spacetime,
- topology,
- dimensionality,
- causal structure,
- geometry.
These are not laws.
They are the stage upon which
laws operate.
Historically, physics has usually
treated these separately.
For example, General Relativity
explains the dynamics of spacetime curvature but does not explain why spacetime
exists in the first place.
If the Second Conjecture Is
Read Narrowly
Suppose the Second Conjecture
means exactly what it says:
All physical laws and
interactions are derivable from the Entropic Field.
Then it does not automatically
follow that spacetime itself is derivable.
One could imagine a theory in
which:
- spacetime exists fundamentally,
- entropy is fundamental within spacetime,
- all physical laws arise from entropy,
- but spacetime itself does not.
In such a theory:
Obidi's
Second Conjecture true
while
Obidi's
Third Conjecture false.
This demonstrates logical
independence.
Therefore, under the narrow
interpretation:
Obidi's
Third Conjecture is not contained in Obidi's
Second Conjecture.
If the Second Conjecture Is
Read Broadly
Suppose instead you define the
Second Conjecture as:
Every physical structure,
interaction, law, and observable phenomenon is derivable from the Entropic
Field.
Then spacetime is a physical
structure.
Consequently,
Spacetime ⊂ Physical Structures
and therefore
Spacetime ⟹
Derivable from Entropy.
In that broader
interpretation:
Obidi's
Third Conjecture becomes a direct consequence of Obidi's
Second Conjecture.
But there is a logically,
technically, and historically admissible reason why Obidi's Third Conjecture
stands on its own within the foundations of Obidi's Theory of Entropicity
(ToE).
Addressing The Strongest
Critique
Perhaps the strongest argument
presented by skeptics is the following:
If all physical laws are
derivable from the Entropic Field, and spacetime geometry is governed by
Einstein's equations, then spacetime emergence is already implied.
This criticism has some force.
However, there is a
counterargument offered by the Theory of Entropicity (ToE), namely this:
Deriving the equations
governing spacetime is not the same as deriving spacetime itself.
For example, Einstein's Field
Equation:
Gμν=8πGTμν
describes how geometry behaves
once geometry exists.
But it does not explain why
geometry exists.
It is precisely in situations
like Einstein's field equation above that Obidi's Third Conjecture comes into
play, because it addresses a deeper question of undeniable utility:
Why is there spacetime at all?
rather than
How does spacetime behave?
That distinction preserves the
independence of Obidi's Third Conjecture in the ToE hierarchy, because Obidi
answers the question unequivocally: Why is there spacetime at all?
Obidi teaches us that
spacetime is the outcome of entropic information: the spacetime we confront and
experience is a subtle projection of the Entropic Field via the entropic
informational architecture. In Obidi's Paper: "From Information Geometry to
Information Gravity," Obidi used disformal transformation methods in an
Obidi Transformation Mechanism to transform information geometry through an
Obidi Metric into a Lorentzian indefinite metric physical spacetime of
Einsteinian Gravity. [Reference the ToE Canonical Archives for details.]
A Theory-Architecture
Perspective
From the standpoint of
constructing ToE as a foundational theory, there is actually a strong reason to
keep Obidi's Third Conjecture distinct as already done above.
This is because Obidi's Three
Conjectures govern three different domains:
Obidi's First Conjecture
Ontology
What fundamentally exists?
Answer:
Entropy.
Obidi's Second Conjecture
Dynamics
Where do physical laws come
from?
Answer:
The Entropic Field.
Obidi's Third Conjecture
Geometry
Where does spacetime come
from?
Answer:
The Entropic Informational Manifold.
Hence, the above division gives
each of Obidi's Three Conjectures a distinct explanatory target, with each
Conjecture addressing a distinct department in the large arena of physics.
There is a legitimate sense in
which the three conjectures form a remarkably clean theoretical architecture.
What makes them aesthetically
appealing is not merely their content, but their logical progression.
The Obidi Conjectures answer
three progressively deeper questions using the singular concept of entropy:
The structure can be expressed
schematically as
Entropy ⟹ Physical Laws ⟹ Physical Spacetime.
This progression possesses an
internal coherence that many foundational programs strive for.
The First Obidi Conjecture
establishes the primitive entity [the manifold substrate].
The Second Obidi Conjecture
establishes the explanatory reach [manifold field dynamics] of that primitive
entity.
The Third Obidi Conjecture
extends that explanatory reach to the very arena [manifold of spacetime] in
which physics is usually formulated.
Viewed this way, the Obidi
Conjectures are not three isolated statements. They form a veritable hierarchy.
The First is ontological.
The Second is dynamical.
The Third is geometrical.
That hierarchical organization
is arguably one of the strongest conceptual features till date which Obidi has
introduced in his Theory of Entropicity (ToE).
But there is also a historical
parallel worth noting.
Major theoretical revolutions
often begin with a small number of bold foundational propositions:
- Isaac Newton built classical mechanics upon a
handful of laws of motion.
- Albert Einstein began special relativity with
two postulates.
- Albert Einstein was guided by the equivalence
principle.
- Niels Bohr introduced quantum postulates
before a complete mathematical framework existed.
Theories often become memorable
because their central claims can be expressed succinctly.
The undeniable attraction of
the Obidi Conjectures is that they compress very large PhD Level research
programs into three foundational statements arising from the evolution of the
Theory of Entropicity (ToE).
The ultimate test of the Obidi
Conjectures is whether they can generate:
Mathematical Consistency
Explanatory Power
Agreement with Established Physics
and ideally
Novel Testable Predictions.
That is where the Obidi
Correspondence Principle (OCP) becomes particularly important and
indispensable. It converts the conjectures from purely philosophical
declarations into scientific obligations.
Once Obidi asserts that all
laws arise from the Entropic Field, Obidi inescapably assumes the burden of
recovering known results—general relativity, quantum theory, thermodynamics,
cosmology, and any future empirical tests—from that foundation.
From a philosophy-of-science
perspective, the most distinctive aspect of Obidi's daunting enterprise is
arguably not the First Conjecture but the combination of the First and Third
Conjectures.
Many researchers have proposed
that information is fundamental. Many have proposed emergent gravity. Many have
proposed emergent spacetime. But none has embarked on such an
all-encompassing Blitzkrieg of Entropy (BoE) as John Onimisi Obidi, who has
singlehandedly undertaken it with brazen audacity and provocativeness— but
also with unmistakable ontological courage.
What is unusual is Obidi's
audacious attempt to connect all of them through a single primitive concept [an
Entropic Chain]:
Entropy → Laws of Physics → Spacetime.
If one were writing a mature
monograph on the Theory of Entropicity (ToE), Obidi's Three Conjectures could
plausibly serve as the opening axiomatic declaration of the theory, from which
all subsequent mathematical development is intended to follow.
Whether they are ultimately
physically true is a major scientific and empirical question. But as a
conceptual and foundational framework in physics and the philosophy of science,
they exhibit a notable economy, symmetry, and hierarchical organization that
most capable theorists would regard as intellectually elegant and imposing.
For Details:
Reference(s):
The Canonical Archives: https://entropicity.github.io/Theory-of-Entropicity-ToE/
Scholium on Obidi's Three
Conjectures
Obidi's First, Second, and
Third Conjectures
Obidi's First Conjecture
The Fundamental Entropy Field
Conjecture
Entropy is the fundamental
universal field of nature and reality.
This conjecture asserts that
entropy is not merely a thermodynamic quantity, a statistical descriptor, or an
emergent property of matter. Rather, entropy is the primary ontological
substrate from which all physical structures, processes, and phenomena arise.
In this view:
represents a fundamental field
whose dynamics underlie all observable reality.
The First Conjecture therefore
elevates entropy to the same conceptual status that classical physics once
assigned to matter, that field theory assigns to quantum fields, and that
general relativity assigns to spacetime geometry.
Its central claim is:
Everything else is secondary and
emergent.
Obidi's Second Conjecture
The Universal Derivability
Conjecture
All physical interactions and
all laws of physics are derivable from the Entropic Field.
This conjecture extends the First
Conjecture from ontology to dynamics.
If entropy is truly fundamental,
then every physical law must ultimately arise from the structure and dynamics
of the Entropic Field.
Consequently:
- Gravity must emerge from the Entropic Field.
- Quantum phenomena must emerge from the Entropic
Field.
- Gauge interactions must emerge from the Entropic
Field.
- Space and time must emerge from the Entropic Field.
- Matter and energy must emerge from the Entropic
Field.
Symbolically,
The Second Conjecture further
imposes a strict consistency requirement through the Obidi Correspondence
Principle (OCP).
Obidi Correspondence Principle
(OCP)
Every valid law, equation, model,
or theory formulated within the Theory of Entropicity must reproduce
established physical theories in their appropriate domains of applicability.
Schematically,
Thus:
in their respective limiting
regimes.
This requirement protects ToE
from becoming disconnected from empirical science.
Its central claim is:
Obidi's Third Conjecture
The Spacetime Emergence
Conjecture
Physical spacetime emerges
from a deeper entropic informational manifold.
This conjecture concerns the
origin of spacetime itself.
The conventional view of modern
physics begins with spacetime as a primitive arena in which physical events
occur.
The Third Conjecture reverses
this relationship.
It proposes that beneath physical
spacetime lies a more fundamental entropic-informational structure, and that
spacetime geometry emerges from the organization of that deeper manifold.
Schematically,
"Entropic Informational
Manifold "⟹"
Physical
Spacetime" (Obidi's Third Conjecture)
or
Within this framework:
- Spacetime is not fundamental.
- Geometry is not fundamental.
- Curvature is not fundamental.
- The spacetime metric is an emergent construct.
Instead, spacetime is a
macroscopic manifestation of underlying entropic-informational relations.
This conjecture naturally
motivates the transition
"Entropy"→"Information
Geometry"→"Spacetime Geometry" (Obidi's Third Conjecture)
and provides the conceptual
foundation for deriving gravity as an emergent phenomenon.
Its central claim is:
"Physical spacetime
emerges from an entropic informational manifold." (Obidi's Third
Conjecture)
Canonical Summary
The three conjectures may be
summarized in their most compact form as:
First Conjecture
Second Conjecture
"All physical laws and
interactions are derivable from the Entropic Field." (Obidi's Second
Conjecture)
Third Conjecture
"Physical spacetime
emerges from an entropic informational manifold." (Obidi's Third
Conjecture)
Taken together, Obidi's Three
Conjectures define the logical architecture of the Theory of Entropicity (ToE):
with the Obidi Correspondence
Principle (OCP) ensuring that every successful entropic formulation
reproduces established physics in the appropriate limits.
For Details:
Reference(s):
The Canonical Archives: https://entropicity.github.io/Theory-of-Entropicity-ToE/
🚀 Obidi's Three Conjectures in
the Theory of Entropicity (ToE): A New Architecture for Fundamental Physics
🧩 What This Paper Introduces
A bold re‑foundation of physics built on
a single primitive: entropy.
This work presents Obidi’s First,
Second, and Third Conjectures, forming the core architecture of the Theory of
Entropicity (ToE) — a framework that reimagines ontology, dynamics, and
geometry from the ground up.
🌌 Conjecture I — Ontology
Entropy is the fundamental field of
reality.
Not a thermodynamic statistic.
Not an emergent property.
But the primary substrate from which all
physical structures arise.
⚡ Conjecture II — Dynamics
All physical laws and interactions are
derivable from the Entropic Field.
Gravity, quantum behavior, gauge forces,
matter, energy — all must emerge from entropic dynamics, constrained by the
Obidi Correspondence Principle (OCP).
🕳️ Conjecture III — Geometry
Spacetime itself emerges from an
entropic‑informational manifold.
Geometry, curvature, and the metric are
not fundamental — they are macroscopic projections of deeper informational
structure.
Thus, Obidi explicitly teaches that our
everyday experience of physical spacetime is a macroscopic projection of a
deeper entropic‑informational manifold, and that what we ubiquitously call
“spacetime” is in fact the emergent geometry of underlying entropic information
— meaning that beneath every point of spacetime lies entropic information from
which spacetime is extruded. That is, as Obidi declares to us in his Theory of
Entropicity (ToE), the Fisher–Rao and Fubini–Study geometries live “beneath”
each point of physical spacetime [of our everyday experience] — but we do not
see them directly. We only see the macroscopic spacetime that emerges from
them. We often think of spacetime as “made of nothing,” a neutral stage on
which physics unfolds; but Obidi teaches us that spacetime is made of
fundamental entropic-information. What we perceive as spacetime is the
macroscopic geometry that emerges from a deeper entropic‑informational
manifold.
🔗 Why This Matters
Together, the Obidi Conjectures form a
hierarchical chain:
Entropy → Physical Laws → Spacetime
This structure offers a unified,
elegant, and testable pathway toward a new foundational physics — one that
challenges long‑held assumptions about what is truly fundamental.
🔥 The Audacity of the Program
Many have proposed emergent gravity.
Many have proposed information‑based
physics.
Many have proposed entropy‑driven
models.
But none has attempted a full Blitzkrieg
of Entropy (BoE) — connecting ontology, dynamics, and geometry through a single
entropic chain — with the intellectual boldness of John Onimisi Obidi.
📘 Read the Full Paper
A deep dive into the logical
independence, scientific motivation, and philosophical implications of the
three Obidi Conjectures — and their role in the evolving Theory of Entropicity
(ToE).
📚 Reference(s):
The Canonical Archives:
https://entropicity.github.io/Theory-of-Entropicity-ToE/