Infinite Information Problem, Free Will, and the Dimension of Infinity
Posted: Sat Aug 23, 2025 4:59 pm
This is an original theory derived by expanding upon theories from different scientific fields and the principles of Intelligent Design.
he Infinite Information Problem, Free Will, and the Dimension of Infinity
Abstract
Physics has long been formulated on mathematical foundations that assume infinite precision. Nicolas Gisin’s critique of this framework reveals a profound flaw: the use of real numbers in physics smuggles infinite information into every physical state. No finite system, however, can contain infinite information. Black hole thermodynamics makes this impossibility especially clear, since a black hole’s information content is finite and proportional to its event horizon. Gisin’s solution—replacing reals with constructive, computable numbers—offers a framework in which determinism collapses and free will becomes a physical possibility. This paper extends his insight, proposing that these constructive “symbols” operate as pointers to a deeper dimension of infinity, outside space-time. This dimension not only resolves the information paradox but also connects naturally with consciousness, agency, and the possibility of an infinite Creator.
1. The Infinite Information Problem
Modern physics assumes real numbers to describe initial conditions. Real numbers, however, carry infinite digits. To fully specify the state of a particle or a field, one must assume access to infinite information. This is mathematically convenient, but physically meaningless. No finite object can encode infinite detail.
The contradiction becomes stark in the case of black holes. If every particle falling into a black hole carries infinite information, then the black hole must hold an infinite information load. Yet the Bekenstein–Hawking bound tells us that a black hole’s information capacity is strictly finite, proportional to its surface area. Deterministic models that require infinite information are therefore not just implausible—they are physically impossible.
2. Gisin’s Constructive Solution
Nicolas Gisin proposed that physics be reformulated using constructive, finite numbers. These numbers are computable and definable without smuggling in infinities. In this framework, states of the universe no longer contain hidden infinities, and the future is not fully determined by the past. Determinism is broken—not by randomness, but by the impossibility of infinite information storage.
Constructive numbers function differently than reals: they operate like symbols or references to finite, computable content rather than containers of infinite content. This shift opens the door to real openness in physical processes, and with it, the possibility of genuine free will.
3. The Pointer Hypothesis: A Dimension of Infinity
If constructive symbols replace infinite information, where does the “rest” of infinity go? One possibility is that these symbols are not arbitrary truncations but pointers to a deeper reality where infinity is natural. I propose that the universe offloads infinite information into a dimension beyond space-time. In this realm, infinite storage is not paradoxical but normal.
This idea is not alien to mainstream physics. String theory invokes higher-dimensional frameworks beyond the familiar 4D continuum. The holographic principle suggests that our universe encodes information on surfaces in ways that require reference to realms beyond direct observation. A dimension of infinity as an information substrate is consistent with these paradigms.
4. Free Will as a Structural Necessity
In this picture, free will ceases to be an illusion or a metaphysical luxury. It becomes a structural requirement of the universe. If the physical world cannot run on infinite-information determinism, then the constructive model—with openness built in—is the only viable option. Determinism collapses not just philosophically, but physically.
This view reframes agency. Human decisions are not predetermined by infinite hidden digits. Instead, they emerge through finite, computable processes that interact with a deeper dimension of infinity. Consciousness, dreams, and even mystical states may reflect moments when the finite mind brushes against that infinite substrate.
5. Quantum and other effects.
This dimension seamlessly allows for any phenomena that can't happen within spacetime such as entanglement, time jumps and consciousness time correlation problems. It is the domain of that which can not reside within spacetime becoming a prime candidate for the location of consciousness.
6. Theological Implications
If infinity is a natural, necessary part of the universe’s operation, then mechanism/vehicle/domain of it must have been present from the very beginning. But here lies a paradox: how could a finite cosmos emerge with infinity embedded into it unless an infinite being authored it? Only an intelligence comfortable with infinity could design a universe where finite processes work harmoniously with an infinite dimension.
To deny this possibility becomes less scientific and more ideological. If infinity is not just a mathematical trick but a built-in feature of physics, then an infinite Creator is not merely possible but logically worthy of serious consideration.
7. Conclusion
The reliance on real numbers has hidden an impossible assumption in physics: infinite information in finite states. Gisin’s constructive mathematics exposes and resolves this problem. Building on his insight, the Pointer Hypothesis proposes that constructive symbols reference a dimension of infinity beyond space-time, reconciling physics with both free will and consciousness.
The implications are profound: determinism collapses, free will becomes structurally necessary, and the architecture of the universe points toward an infinite substrate. If infinity is woven into the fabric of reality, then the existence of an infinite Creator is not a leap of blind faith, but a rational inference from the way the universe must work.
he Infinite Information Problem, Free Will, and the Dimension of Infinity
Abstract
Physics has long been formulated on mathematical foundations that assume infinite precision. Nicolas Gisin’s critique of this framework reveals a profound flaw: the use of real numbers in physics smuggles infinite information into every physical state. No finite system, however, can contain infinite information. Black hole thermodynamics makes this impossibility especially clear, since a black hole’s information content is finite and proportional to its event horizon. Gisin’s solution—replacing reals with constructive, computable numbers—offers a framework in which determinism collapses and free will becomes a physical possibility. This paper extends his insight, proposing that these constructive “symbols” operate as pointers to a deeper dimension of infinity, outside space-time. This dimension not only resolves the information paradox but also connects naturally with consciousness, agency, and the possibility of an infinite Creator.
1. The Infinite Information Problem
Modern physics assumes real numbers to describe initial conditions. Real numbers, however, carry infinite digits. To fully specify the state of a particle or a field, one must assume access to infinite information. This is mathematically convenient, but physically meaningless. No finite object can encode infinite detail.
The contradiction becomes stark in the case of black holes. If every particle falling into a black hole carries infinite information, then the black hole must hold an infinite information load. Yet the Bekenstein–Hawking bound tells us that a black hole’s information capacity is strictly finite, proportional to its surface area. Deterministic models that require infinite information are therefore not just implausible—they are physically impossible.
2. Gisin’s Constructive Solution
Nicolas Gisin proposed that physics be reformulated using constructive, finite numbers. These numbers are computable and definable without smuggling in infinities. In this framework, states of the universe no longer contain hidden infinities, and the future is not fully determined by the past. Determinism is broken—not by randomness, but by the impossibility of infinite information storage.
Constructive numbers function differently than reals: they operate like symbols or references to finite, computable content rather than containers of infinite content. This shift opens the door to real openness in physical processes, and with it, the possibility of genuine free will.
3. The Pointer Hypothesis: A Dimension of Infinity
If constructive symbols replace infinite information, where does the “rest” of infinity go? One possibility is that these symbols are not arbitrary truncations but pointers to a deeper reality where infinity is natural. I propose that the universe offloads infinite information into a dimension beyond space-time. In this realm, infinite storage is not paradoxical but normal.
This idea is not alien to mainstream physics. String theory invokes higher-dimensional frameworks beyond the familiar 4D continuum. The holographic principle suggests that our universe encodes information on surfaces in ways that require reference to realms beyond direct observation. A dimension of infinity as an information substrate is consistent with these paradigms.
4. Free Will as a Structural Necessity
In this picture, free will ceases to be an illusion or a metaphysical luxury. It becomes a structural requirement of the universe. If the physical world cannot run on infinite-information determinism, then the constructive model—with openness built in—is the only viable option. Determinism collapses not just philosophically, but physically.
This view reframes agency. Human decisions are not predetermined by infinite hidden digits. Instead, they emerge through finite, computable processes that interact with a deeper dimension of infinity. Consciousness, dreams, and even mystical states may reflect moments when the finite mind brushes against that infinite substrate.
5. Quantum and other effects.
This dimension seamlessly allows for any phenomena that can't happen within spacetime such as entanglement, time jumps and consciousness time correlation problems. It is the domain of that which can not reside within spacetime becoming a prime candidate for the location of consciousness.
6. Theological Implications
If infinity is a natural, necessary part of the universe’s operation, then mechanism/vehicle/domain of it must have been present from the very beginning. But here lies a paradox: how could a finite cosmos emerge with infinity embedded into it unless an infinite being authored it? Only an intelligence comfortable with infinity could design a universe where finite processes work harmoniously with an infinite dimension.
To deny this possibility becomes less scientific and more ideological. If infinity is not just a mathematical trick but a built-in feature of physics, then an infinite Creator is not merely possible but logically worthy of serious consideration.
7. Conclusion
The reliance on real numbers has hidden an impossible assumption in physics: infinite information in finite states. Gisin’s constructive mathematics exposes and resolves this problem. Building on his insight, the Pointer Hypothesis proposes that constructive symbols reference a dimension of infinity beyond space-time, reconciling physics with both free will and consciousness.
The implications are profound: determinism collapses, free will becomes structurally necessary, and the architecture of the universe points toward an infinite substrate. If infinity is woven into the fabric of reality, then the existence of an infinite Creator is not a leap of blind faith, but a rational inference from the way the universe must work.