No formal mathematical proof of an afterlife exists in the traditional sense. However, this work demonstrates something more precise and more relevant: a mathematically coherent model in which awareness and memory exhibit geometric properties, and in which their inverse relationship necessitates continuity beyond biological time.
If awareness contracts to a point while memory expands as a structured realm of time and space, then the cessation of biological function does not terminate consciousness - it removes a constraint. In that sense, the persistence of awareness after death is not asserted philosophically, but follows logically from the model presented.
This work does not argue for an afterlife through belief, testimony, or tradition, but through a coherent model in which awareness and memory possess geometric structure and measurable relationships. The consistency of this model across reported NDEs, OBEs, virtual reality analogs, and exceptional memory conditions is not presented as proof by testimony, but as alignment between prediction and observation. What people report experiencing near death is not unexpected within this framework - it is exactly what the model would anticipate.
This model reframes death from an event to a transformation of constraint. If awareness is not generated by the brain but confined by it, then the failure of biological systems cannot logically result in the destruction of consciousness. Instead, it results in the removal of constraints, thereby expanding it. Within this framework, extinction of the observer is not a coherent outcome. Whether or not the model is ultimately accepted, it establishes that any explanation of death that assumes consciousness must end with the body may be incorrect.
The ideas and models presented in Afterlife Theory are intended as a philosophical and theoretical exploration of consciousness, memory, out-of-body experiences, and the afterlife. They are not medical, psychological, or therapeutic advice, and the author does not guarantee any specific outcomes or assert empirical proof of the concepts discussed. Readers are encouraged to consider the material as a framework for thought, reflection, and further inquiry, rather than as definitive fact. Personal interpretation, discernment, and critical thinking are essential when engaging with the ideas in this book.