Mathematics as a universal language for first contact

Mathematics as a universal language for first contact is the communication strategy Samantha Crowe proposes for reaching the Yrr. Its importance lies in the wager it makes: beings need not share bodies, senses, or spoken language to recognize structure grounded in the same physical universe. But a shared code cannot ensure shared values. The plan is designed to make communication more compelling than violence, while leaving open whether the Yrr will answer or interpret the message as intended.

Why mathematics

Crowe presents the laws of physics as the basis for mathematical understanding: if life develops under common physical conditions, mathematics may offer a language that does not depend on a particular species’ sounds or conventions. She treats it not merely as a convenient code but as a route from physical law to consciousness, a way of expressing thought through relations that an intelligent recipient might independently recognize. The choice therefore answers a practical problem and a conceptual one: how to address a mind whose form and means of perception are unknown.

That possibility is not the same as proof that the Yrr think as humans do. The team is trying to establish that the Yrr can be addressed as an intelligent species, not assuming that human signals or motives will automatically make sense to them. Mathematics supplies a possible common starting point; what the recipient makes of it remains uncertain.

The underwater medium

The strategy also depends on the physical conditions of the sea. In space, Crowe explains, large packets of data can be transmitted through microwave signals, and light travels over long distances without cables. Underwater, water molecules absorb short-wave signals, long-wave communication would require enormous antennae, and light is useful only over relatively short distances. Sound is the remaining practical option, but echoes and interference can make a signal overlap with itself and become unintelligible.

Leon Anawak describes the team’s answer as a singing modem, borrowing a principle from marine mammals. Its signal constantly modulates frequency and pitch, helping it avoid interference while increasing the amount of information it can carry. The projected capacity is thirty kilobytes across three kilometres—about half an ISDN line—and enough to transmit high-resolution images. The mathematical proposal is thus not only a choice of content: it depends on a specifically underwater technology capable of conveying that content in a decipherable form.

The Arecibo precedent

To explain how abstract mathematics can organize a message, Crowe turns to the 1974 SETI transmission aimed at a globular cluster in the constellation of Hercules. It contained 1,679 characters expressed as binary pulses. Because 1,679 is the product of the prime numbers 23 and 73, a recipient recognizing that mathematical structure could arrange the pulses into 73 columns of 23 characters. Rendered as black and white blocks, the sequence formed a visible pattern.

The pattern carried information in stages. Its upper lines represented the numbers one through ten and introduced the decimal system. It then gave the atomic numbers of water, carbon, oxygen, nitrogen, and phosphorus, followed by information about Earth’s biochemistry, including DNA bases and sugars and the double helix. An image of the human form was linked to the DNA representation, allowing a recipient to infer something about evolution on Earth. Since human units of measurement would not be meaningful on their own, the signal’s wavelength was used to indicate average human height. The message also depicted the solar system and the appearance, dimensions, and design of the Arecibo radio telescope that sent it.

This example makes the method legible: mathematics can provide instructions for decoding a pattern, while the pattern can then carry more particular information about its senders. Yet it also exposes a limit. A deliberately constructed message can encode an account of humanity, but its makers cannot dictate what an unfamiliar intelligence will infer from that account.

From a mathematical challenge to dialogue

Crowe distinguishes the underwater plan from the long wait associated with the Arecibo transmission, which was expected to take 26,000 years to reach its destination and 52,000 years for a reply to return. The underwater exchange is intended to proceed more quickly and in stages. Its first communication is deliberately simple: two sums that the Yrr could answer if they chose. The immediate purpose is to establish that the Yrr exist and assess whether dialogue can begin.

The plan is not a plea for mercy. During discussion, Leon Anawak compares a fish caught in a net with a being forced to die without understanding its captor; the comparison makes visible how differently the same encounter can be judged from opposite positions. Crowe accepts Sigur Johanson’s concern that the Yrr may have collectively chosen to fight humanity and may not respond to appeals to ethics or empathy. Rather than rely on emotional persuasion, she proposes a mathematical duel: a challenge that might make communication more intriguing than violence and prompt the Yrr to reconsider their conduct through their own logic, or perhaps a moral code.

A common code, not a common mind

The proposed language gains force from the contrast between human communication and the Yrr’s suspected collective organization. In discussing how single-celled organisms might coordinate, Sue Oliviera describes bacteria that release a chemical signal when starved; as the signal intensifies past a threshold, a swarm draws together and forms a complex aggregate. Her example offers the researchers a biological model for coordination that does not begin with speech or a humanlike individual mind.

Later, Karen Weaver and Anawak describe a computer model in which virtual cells receive electronic DNA capable of continual mutation. Learning at the level of those units allows the system to function again as a neural-network computer. Their account makes the contact problem sharper: human beings may use mathematics to compose an intentional message, while the Yrr’s collective cognition may depend on information moving among cells and on processes unlike an individual human speaker’s.

Johanson’s account of Yrr genetic memory deepens that difference. Human beings depend on words, records, and images to preserve experience across generations; according to his explanation, Yrr cells duplicate genomes carrying accumulated information, so new cells inherit experience rather than beginning entirely from scratch. Their collective can compare, refine, and build on strategies over time. Mathematics may cross the boundary between these forms of life because both encounter the same physical laws, but it cannot make their histories, organization, or aims identical. The first sums are therefore both an opening and a test: a structured signal sent into an unfamiliar world, whose answer cannot be presumed.